pdfs.semanticscholar.org · 1185 2003 FUNCTIONAL ANALYSIS 46–06 46–XX...

FUNCTIONAL ANALYSIS1185 2003 46–06

46–XX Functional analysis For manifoldsmodeled on topological linear spaces, see57Nxx, 58Bxx.

46–00 General reference works (handbooks, dictionaries,bibliographies, etc.)

(Johnson,William B.) see Handbook:Geometry of Banach spaces, 2003a:46001(Lindenstrauss, Joram) see Handbook:Geometry of Banach spaces, 2003a:46001

Items listed otherwise than by author

Handbook:Geometry of Banach spaces Handbook of the geometry of Banach spaces. Vol. I.

2003a:46001

Items with secondary classifications in 46–00

Johnson,William B. (with Lindenstrauss, Joram) Basic concepts in the geometry ofBanach spaces. 2003f:46013

Lindenstrauss, Joram see Johnson,William B., 2003f:46013

46–01 Instructional exposition (textbooks, tutorial papers, etc.)

Constantinescu, Corneliu C ∗-algebras. Vol. 1. 2003a:46002C ∗-algebras. Vol. 2. 2003a:46003C ∗-algebras. Vol. 3. 2003a:46004C ∗-algebras. Vol. 4. 2003a:46005C ∗-algebras. Vol. 5. 2003a:46006

Gussi, G. Topics in analysis and distribution theory. 2003e:46001Morrison, Terry J. Functional analysis. 2003a:46007

Runde, Volker Lectures on amenability. 2003h:46001Sviridyuk, G. A. (with Yakupov, M. M.) Дополнительные главы функциональногоанализа. Часть I. (Russian. Russian summary) [Supplementary chapters in functionalanalysis. Part I] 2003j:46001

Yakupov,M. M. see Sviridyuk, G. A., 2003j:46001


Lecture Notes in Mathematics see Runde, Volker, 2003h:46001


Abramovich, Yuri A. (with Aliprantis, Charalambos D.) An invitation to operatortheory. (English summary) 2003h:47072(with Aliprantis, Charalambos D.) Problems in operator theory. (English summary)2003h:47073

Aliprantis, Charalambos D. see Abramovich, Yuri A., 2003h:47072 and 2003h:47073DiBenedetto, Emmanuele Real analysis. (English summary) 2003d:00001

Dudley, Richard M. Real analysis and probability. (English summary) 2003h:60001Griffel, D. H. Applied functional analysis. (English summary) 2003c:00002


Jost, Jurgen Postmodern analysis. 2003m:00003

Lax, Peter D. Functional analysis. (English summary) 2003a:47001Lebedev, L. P. (with Vorovich, I. I.) Functional analysis in mechanics. (English

summary) 2003g:00004

Lindenstrauss, Joram see Johnson,William B., 2003f:46013Ma, Tsoy-Wo Banach-Hilbert spaces, vector measures and group representations.

(English summary) 2003e:00004Nishishiraho, Toshihiko Sairyo kinji riron to kansu kaiseki. (Japanese) [Best approxima-

tion theory and functional analysis] 2003b:41001

Ryan, Raymond A. Introduction to tensor products of Banach spaces. (Englishsummary) 2003f:46030

Schneider, Peter1 Nonarchimedean functional analysis. (English summary) 2003a:46106

Vorovich, I. I. see Lebedev, L. P., 2003g:00004


Problems:Operator theory see Abramovich, Yuri A., 2003h:47072 and 2003h:47073

46–02 Research exposition (monographs, survey articles)

Blei, Ron Analysis in integer and fractional dimensions. (English summary)2003a:46008

Diestel, Joe (with Swart, Johan1) The Riesz theorem. 2003m:46001

(Kutateladze,S. S.) see Nonstandard analysis and vector lattices, 2003f:46001Swart, Johan1 see Diestel, Joe, 2003m:46001


Nonstandard analysis and vector lattices Nonstandard analysis and vector lattices.2003f:46001


Ban, Adrian I. (with Gal, Sorin G.) Defects of properties in mathematics. (Englishsummary) 2003b:00001

Gal, Sorin G. see Ban, Adrian I., 2003b:00001Grosser, Michael (with Kunzinger, Michael; Oberguggenberger, Michael; Steinbauer,

Roland) Geometric theory of generalized functions with applications to generalrelativity. (English summary) 2003d:46105

Kunzinger,Michael see Grosser, Michael et al., 2003d:46105Oberguggenberger,Michael see Grosser, Michael et al., 2003d:46105Steinbauer, Roland see Grosser, Michael et al., 2003d:46105

46–03 Historical (must also be assigned at least one classificationnumber from Section 01)

Kusraev, A. G. (with Kutateladze, S. S.) The heuristic principle of L. V. Kantorovich.(Russian. Russian summary) 2003j:46002

Kutateladze,S. S. see Kusraev, A. G., 2003j:46002Oja, Eve Fields Medal for the theory of Banach spaces. (Estonian) (see 2003a:00013)(Peetre, Jaak) see Correspondence:Peetre, Jaak, 2003j:46003Randrianantoanina,Beata Norm-one projections in Banach spaces. (English summary)

2003d:46001


Correspondence:

Peetre, Jaak On the development of interpolation—instead of a history three letters.(English summary) 2003j:46003


Izumi, Masaki Yasuyuki Kawahigashi’s achievements.(Japanese)Kadison, Richard V. Which Singer is that? 2003h:01025

Kawahigashi, Yasuyuki Theory of subfactors and its applications—operator algebras andquantum theory of fields. (Japanese) 2003j:46095see also Izumi, Masaki

Paul, Pedro J. Toeplitz. (Spanish. Spanish summary) 2003e:01036(Singer, Isadore M.) see Kadison, Richard V., 2003h:01025(Toeplitz, Otto) see Paul, Pedro J., 2003e:01036


Biography:Kawahigashi, Yasuyuki see Izumi, Masaki

Toeplitz, Otto see Paul, Pedro J., 2003e:01036

46–06 Proceedings, conferences, collections, etc.

(Al′beverio, S.) see Operator methods in ordinary and partial differential equations,2003c:46001

(Cwikel, Michael) see Function spaces, interpolation theory and related topics, 2003f:46002(Edmunds, David E.) see Function spaces and applications,2003m:46002(Elander, Nils) see Operator methods in ordinary and partial differential equations,

2003c:46001

(Englis, Miroslav) see Function spaces, interpolation theory and related topics, 2003f:46002(Escassut, Alain) see Ultrametric functional analysis, 2003m:46005

(Everitt, W. Norrie) see Operator methods in ordinary and partial differential equations,2003c:46001

(Jain, Pankaj2) see Function spaces and applications, 2003m:46002

(Jain, Pawan Kumar) see Function spaces and applications, 2003m:46002 and Sequencespaces and applications,2003m:46003

(Kaminska, Anna) see Trends in Banach spaces and operator theory, 2003m:46004

(Kamthan, Pawan Kumar) see Sequence spaces and applications,2003m:46003(Kovalevskaya, Sof ′ya Vasil′evna) see Operator methods in ordinary and partial differential

equations, 2003c:46001(Kufner, Alois) see Function spaces, interpolation theory and related topics, 2003f:46002 and

Function spaces and applications,2003m:46002

(Kurasov, Pavel) see Operator methods in ordinary and partial differential equations,2003c:46001

(Malkowsky, Eberhard) see Sequence spaces and applications,2003m:46003

(Peetre, Jaak) see Function spaces, interpolation theory and related topics, 2003f:46002(Perez-Garcıa, Cristina) see Ultrametric functional analysis, 2003m:46005(Persson, Lars Erik) see Function spaces, interpolation theory and related topics,

2003f:46002 and Function spaces and applications,2003m:46002(Saitoh, Saburou) see Function spaces and applications, 2003m:46002(Schikhof, W. H.) see Ultrametric functional analysis, 2003m:46005

(Sparr, Gunnar) see Function spaces, interpolation theory and related topics, 2003f:46002


Conference:Function Spaces and Applications to Partial Differential Equations Function spaces

and applications. 2003m:46002

p-adic FunctionalAnalysis Ultrametric functional analysis. 2003m:46005Contemporary Mathematics Trends in Banach spaces and operator theory. 2003m:46004

Ultrametric functional analysis. 2003m:46005

Delhi Function spaces and applications. 2003m:46002Festschrift:

Peetre, Jaak Function spaces, interpolation theory and related topics. 2003f:46002

Schikhof,Wilhelmus H. Ultrametric functional analysis. 2003m:46005Function spaces and applications Function spaces and applications. 2003m:46002

Function spaces, interpolation theory and related topics Function spaces, interpolationtheory and related topics. 2003f:46002

Lund Function spaces, interpolation theory and related topics. 2003f:46002

Memorial Volume:Kamthan, Pawan Kumar Sequence spaces and applications. 2003m:46003

Memphis, TN Trends in Banach spaces and operator theory. 2003m:46004

Nijmegen Ultrametric functional analysis. 2003m:46005Operator methods in ordinary and partial differential equations Operator methods in

ordinary and partial differential equations. 2003c:46001Potenza Proceedings of the Fourth International Conference on Functional Analysis and

Approximation Theory. Vol. I. Proceedings of the Fourth International Conference on Functional Analysis andApproximation Theory. Vol. II.

Proceedings:

Conference on Functional Analysis and Approximation Theory Proceedings of theFourth International Conference on Functional Analysis and Approximation Theory.

FUNCTIONAL ANALYSIS46–06 2003 1186

Proceedings: (cont’d.)Vol. I. Proceedings of the Fourth International Conference on Functional Analysis andApproximation Theory. Vol. II.

Sequence spaces and applications Sequence spaces and applications. 2003m:46003

Stockholm Operator methods in ordinary and partial differential equations.2003c:46001

Structure of operator algebras and its applications Sayoso kan no kozo kenkyu to sonooyo. (Japanese) [The structure of operator algebras and its applications]

Symposium:

Wallenberg,Marcus, in Memory of Sonja Kovalevsky Operator methods in ordinaryand partial differential equations. 2003c:46001

Theory of operator algebras and its applications Sayoso kan ron to sono oyo. [Theory ofoperator algebras and its applications]

Trends in Banach spaces and operator theory Trends in Banach spaces and operatortheory. 2003m:46004

Ultrametric functional analysis Ultrametric functional analysis. 2003m:46005


(Araki, Huzihiro) see Dedicated to Professor Huzihiro Araki on the occasion of his 70thbirthday

(Banakh, Taras) see General topology in Banach spaces, 2003a:00015(Finet, Catherine) see Henson, C. Ward et al., 2003m:00019

Henson, C. Ward (with Iovino, Jose; Kechris, Alexander S.; Odell, Edward) Analysisand logic. 2003m:00019

Iovino, Jose see Henson, C. Ward et al., 2003m:00019

Kechris, Alexander S. see Henson, C. Ward et al., 2003m:00019

(Kirk, William A.) see Handbook:Metric fixed point theory, 2003b:47002(Michaux, Christian) see Henson, C. Ward et al., 2003m:00019

Odell, Edward see Henson, C. Ward et al., 2003m:00019

(Rao, T. S. S. R. K.) see Functional analysis(Sims, Brailey) see Handbook:Metric fixed point theory, 2003b:47002


Analysis and logic see Henson, C. Ward et al., 2003m:00019

Common ground between functional analysis and mathematical theory of informationKansu kaisekigaku to suri joho no setten. (Japanese) [Common ground betweenfunctional analysis and mathematical theory of information]

Conference:

FunctionalAnalysis and its Applications Functional analysis.Dedicated to Professor Huzihiro Araki on the occasion of his 70th birthday Dedicated to

Professor Huzihiro Araki on the occasion of his 70th birthday.Festschrift:

Araki, Huzihiro Dedicated to Professor Huzihiro Araki on the occasion of his 70thbirthday.

Functional analysis Functional analysis.General topology in Banach spaces General topology in Banach spaces. 2003a:00015

Handbook:

Metric fixed point theory Handbook of metric fixed point theory. 2003b:47002Kolkata Functional analysis.Mons see Henson, C. Ward et al., 2003m:00019

Trends in infinite-dimensional analysis and quantumprobability Mugen jigen kaiseki toryoshi kakuritsuron no doko. [Trends in infinite-dimensional analysis and quantumprobability]

46Axx Topological linear spaces and related structuresFor function spaces, see 46Exx.

46A03 General theory of locally convex spaces

Almeida, J. (with Barreira, Luis) Hausdorff dimension in convex bornological spaces.(English summary) 2003c:46002

Aslam, Mohammad Dual nuclear and dual barrelled spaces. (English summary)Barreira, Luis seeAlmeida, J., 2003c:46002Bonet, Jose (with Conejero, Jose A.) Duality for monomorphisms and almost open

operators between locally convex spaces. (English summary) 2003i:46001

Cao, Ding Hua (with Zhu, Qi Ding; Li, Dan Hen) Category theorems on (LB) spaces.(Chinese. English and Chinese summaries) 2003c:46003

(with Zhu, Qi Ding) Necessary and sufficient conditions for the metrization of the strongdual space X ∗ of a locally convex spaceX . (Chinese. English and Chinese summaries)

Caruso, Andrea Orazio A short remark on Kolmogoroff normability theorem. (Englishsummary) 2003m:46006

Conejero, Jose A. see Bonet, Jose, 2003i:46001Deheri, G. M. Characterization of a dF -(dB-) space and some criteria for a strong basis in

a dF -space. (English summary)Leiderman, A. (with Rubin, Matatyahu) On the reconstruction of locally convex spaces

from their groups of homeomorphisms. (English summary) 2003c:46004

Li, Dan Hen see Cao, Ding Hua et al., 2003c:46003Lu, Shi Jie see Wu, Jun De, 2003g:46001Orlov, I. V. Normal functional indices and normal duality. (English summary)

2003h:46002

Qiu, Jing Hui A class of locally convex spaces and its mapping characterization.(Chinese.English and Chinese summaries) 2003j:46004

Rubin,Matatyahu see Leiderman, A., 2003c:46004Sun, Li Min2 A relation between weak and strong topologies in dual pairs. (English and

Chinese summaries) 2003m:46007

Wu, Jun De (with Lu, Shi Jie) A full-invariant theorem and some applications. (Englishsummary) 2003g:46001

Zarnadze, D. On homomorphisms, open operators and their adjoints. (English summary)2003c:46005

Zhu, Qi Ding see Cao, Ding Hua et al., 2003c:46003

Items with secondary classifications in 46A03

Bornemann, Folkmar A. Normen zur Charakterisierung der schwach∗-Konvergenzbeschrankter Folgen. (German summary) [Norms for the characterization of weak∗

convergence of bounded sequences] 2003h:46030

Boyd, Christopher (with Dineen, Sean; Rueda, Maria Pilar) Locally Asplund spaces ofholomorphic functions. 2003k:46062

De Grande-De Kimpe, N. (with Perez-Garcıa,Cristina) The extension of p-adic compactoperators. (English summary) 2003e:47125

Dineen, Sean see Boyd, Christopher et al., 2003k:46062Huang, Ren Bin see Qiu, Jing Hui et al., 2003f:47004Inoue, Atsushi2 (with Kursten, Klaus-Detlef) On C ∗-like locally convex ∗-algebras.

(English summary) 2003b:46069

Kursten, Klaus-Detlef see Inoue, Atsushi2, 2003b:46069Kurzweil, Jaroslav Integration between the Lebesgue integral and the Henstock-Kurzweil

integral. 2003e:26012

Nowak, Marian (with Rzepka, Aleksandra) Locally solid topologies on spaces of vector-valued continuous functions. (English summary) 2003f:46054

Perez-Garcıa, Cristina seeDe Grande-De Kimpe, N., 2003e:47125Qiu, Jing Hui (with Zhang, Jian Ping; Huang, Ren Bin) The Lax theorem and the

existence of continuous left inverses. (Chinese. English and Chinese summaries)2003f:47004

Rueda, Maria Pilar see Boyd, Christopher et al., 2003k:46062Rzepka, Aleksandra see Nowak, Marian, 2003f:46054Sanchez Ruiz, L. M. see Saxon, Stephen A., 2003f:46003Saxon, Stephen A. (with Sanchez Ruiz, L. M.) Three-space weak barrelledness. (English

summary) 2003f:46003

Smirnov, E. I. Hausdorff spectra in functional analysis. 2003m:46107

(Tweddle, Ian) see Smirnov, E. I., 2003m:46107

Wang, Jian Yong2 Quasi-translation invariant topological cones and the conjugate cones oflocally -convex spaces. (Chinese. English and Chinese summaries)

Yan, Cong Hua A new characterization of L-fuzzy locally convex topological vector spacesand its applications. (English summary) 2003g:46088

Zhang, Jian Ping see Qiu, Jing Hui et al., 2003f:47004

46A04 Locally convex Frechet spaces and (DF)-spaces

FernandezLopez, Antonio2 (with Naranjo, Francisco) Nuclear Frechet lattices. (Englishsummary) 2003b:46001

Mehemmed, Ali A. An application of Kwapien’s theorem to the investigation of thestructure of L0-space. (English summary) 2003e:46002

Naranjo, Francisco see FernandezLopez, Antonio2, 2003b:46001Oluyemi, Sunday The completion of a metrisable BTB space is its strong bidual. (English

summary) 2003e:46003


Arslan, Bora (with Goncharov, A. P.; Kocatepe, Mefharet) Spaces of Whitney functions onCantor-type sets. (English summary) 2003a:46041

Bes, Juan (with Chan, Kit C.) Denseness of hypercyclic operators on a Frechet space.(English summary) 2003j:47006

Bierstedt, Klaus D. (with Bonet, Jose) Biduality in (LF)-spaces. (English and Spanishsummaries) 2003d:46002

Bonet, Jose (with Conejero, Jose A.) Duality for monomorphisms and almost openoperators between locally convex spaces. (English summary) 2003i:46001

(with Domanski, Paweł; Vogt, Dietmar) Interpolation of vector-valued real analyticfunctions. (English summary) 2003h:46056

see also Bierstedt, Klaus D., 2003d:46002Bosch-Giral, Carlos (with Kucera, Jan) Sequential completeness and regularity of

inductive limits of webbed spaces. (English summary) 2003d:46003

Cascales, B. (with Kakol, Jerzy; Saxon, Stephen A.) Weight of precompact subsets andtightness. (English summary) 2003i:54005

Chan, Kit C. see Bes, Juan, 2003j:47006Conejero, Jose A. see Bonet, Jose, 2003i:46001Domanski, Paweł see Bonet, Jose et al., 2003h:46056FernandezLopez, Antonio2 (with Naranjo, Francisco) A characterization of Frechet

lattices with the Lebesgue property. (Spanish. Spanish summary) 2003b:46004

Frigon, Marlene (with O’Regan, Donal) A Leray-Schauder alternative for Monch maps onclosed subsets of Frechet spaces. (English summary) 2003j:47071

Goncharov, A. P. see Arslan, Bora et al., 2003a:46041Kakol, Jerzy (with Saxon, Stephen A.) Montel (DF)-spaces, sequential (LM)-spaces and

the strongest locally convex topology. (English summary) 2003h:46013

see also Cascales, B. et al., 2003i:54005Kocatepe,Mefharet see Arslan, Bora et al., 2003a:46041Kucera, Jan see Bosch-Giral, Carlos, 2003d:46003Naranjo, Francisco see FernandezLopez, Antonio2, 2003b:46004Olaleru, J. O. On weighted spaces without a fundamental sequence of bounded sets.

(English summary) 2003f:46055

O’Regan, Donal see Frigon,Marlene, 2003j:47071Rechkoski, Vlatko Some notes on the analytic representation of a distribution. (Macedo-

nian. English and Macedonian summaries) 2003k:46054

Saxon, Stephen A. see Kakol, Jerzy, 2003h:46013and Cascales, B. et al., 2003i:54005Sliwa, Wiesław Closed subspaces without Schauder bases in non-Archimedean Frechet

spaces. (English summary) 2003f:46117

On closed subspaces with Schauder bases in non-Archimedean Frechet spaces. (Englishsummary) 2003e:46122

Tan, Li Yun see Xiang, Shu Huang, 2003a:47036

46A Topological linear spaces and related structures1187 2003 46A17

Tidten,Michael A geometric characterization for the property (DN ) of E (K) for arbitrarycompact subsets K of R. (English summary) 2003b:46026

Vogt, Dietmar see Bonet, Jose et al., 2003h:46056Xiang, Shu Huang (with Tan, Li Yun) Some approximation problems of isometric

operators in Frechet spaces. (Chinese. English and Chinese summaries) 2003a:47036

46A08 Barrelled spaces, bornological spaces

Kadelburg, Zoran (with Radenovic, Stojan) Subspaces and quotients of topological andordered vector spaces. 2003m:46008

Radenovic, Stojan see Kadelburg, Zoran, 2003m:46008

SanchezRuiz, L. M. see Saxon, Stephen A., 2003f:46003Saxon, Stephen A. (with Sanchez Ruiz, L. M.) Three-space weak barrelledness. (English



Al-Sayyad,Siham Jalal Sequentiallym-barrelled algebras. 2003a:46066

Bonet, Jose (with Dierolf, S.; Wengenroth, Jochen) Strong duals of projective limits of(LB)-spaces. (English summary) 2003e:46004

Cao, Ding Hua (with Zhu, Qi Ding) A condition of normability for bornologic spaces.(Chinese. English and Chinese summaries)

Dierolf, S. see Bonet, Jose et al., 2003e:46004Ferrando, Juan Carlos (with Lyudkovskiı, S. V.) Some barrelledness properties of c0(Ω, X ).

(English summary) 2003h:46011

On sets of density zero. (English summary) 2003g:28010

Kakol, Jerzy (with Saxon, Stephen A.) Montel (DF)-spaces, sequential (LM)-spaces andthe strongest locally convex topology. (English summary) 2003h:46013

Liskowski, Marian Integral of function with values in complete modular space. (Englishsummary) 2003c:46057

Lopez Pellicer, M. (with Sanchez Ruiz, L. M.) Some barrelledness questions in vectorLp-spaces. (English summary) 2003c:46050

Lyudkovskiı, S. V. see Ferrando, Juan Carlos, 2003h:46011Olaleru, J. O. On weighted spaces without a fundamental sequence of bounded sets.


SanchezRuiz, L. M. see Lopez Pellicer, M., 2003c:46050Saxon, Stephen A. see Kakol, Jerzy, 2003h:46013Swartz, Charles Barrelledness of the space of Dobrakov integrable functions. (English

summary) 2003b:46050

Wengenroth, Jochen see Bonet, Jose et al., 2003e:46004Zhu,Qi Ding see Cao, Ding Hua

46A11 Spaces determined by compactness or summabilityproperties (nuclear spaces, Schwartz spaces, Montelspaces, etc.)


Bahya, A. O. see Isac, George, 2003e:90075


Isac, George (with Bahya, A. O.) Full nuclear cones associated to a normal cone.Application to Pareto efficiency. (English summary) 2003e:90075


Korobeınik,Yu. F. On the convergence of series in locally convex spaces. (Russian)2003a:46014

Marrero, I. A property characterizingMontel Hankel-KMp spaces. (English summary)2003b:46053

Multipliers of Hankel-KMp spaces. (English summary) 2003b:46054

Naranjo, Francisco see FernandezLopez, Antonio2, 2003b:46001Oluyemi, Sunday The completion of a metrisable BTB space is its strong bidual. (English


Saxon, Stephen A. see Kakol, Jerzy, 2003h:46013

46A13 Spaces defined by inductive or projective limits (LB, LF,etc.) [see also 46M40]

Bierstedt, Klaus D. A survey of some results and open problems in weighted inductivelimits and projective description for spaces of holomorphic functions. (English summary)2003f:46004

(with Bonet, Jose) Biduality in (LF)-spaces. (English and Spanish summaries)2003d:46002


see also Bierstedt, Klaus D., 2003d:46002Bosch-Giral, Carlos (with Kucera, Jan) Sequential completeness and regularity of

inductive limits of webbed spaces. (English summary) 2003d:46003

Dierolf, S. see Bonet, Jose et al., 2003e:46004Kucera, Jan see Bosch-Giral, Carlos, 2003d:46003Orlov, I. V. A finite increment formula for mappings into inductive scales of spaces.

(Russian. English, Russian andUkrainian summaries) 2003d:46004

Qiu, Jing Hui (with Zhang, Jian Ping) On -regular and uniformly -regular inductivelimits. (Chinese. English and Chinese summaries) 2003h:46003

Retakh’s conditions (M0) and weakly (sequentially) compact regularity. (English andChinese summaries) 2003h:46004

Wengenroth, Jochen see Bonet, Jose et al., 2003e:46004Zhang, Jian Ping see Qiu, Jing Hui, 2003h:46003


Bensalem, Jawad (with Nacir, Chafik) Uniqueness of the topology in some classesof semisimple locally m-pseudoconvex algebras and their inductive limits. (Englishsummary) 2003f:46067

Bierstedt, Klaus D. (with Holtmanns, Silke) An operator representation for weightedinductive limits of spaces of vector valued holomorphic functions. (English summary)2003b:46023

Bonet, Jose (with Domanski, Paweł; Vogt, Dietmar) Interpolation of vector-valued realanalytic functions. (English summary) 2003h:46056

Colojoara, Ion Ultradifferentiable representations. (English summary) 2003b:46048Ding, Guanggui On the boundedness of spheres in F ∗-spaces. (English summary)

2003h:46006Dmitrishin, M. I. see Lopushanskiı, O. V., 2003f:47028Domanski, Paweł see Bonet, Jose et al., 2003h:46056Holtmanns, Silke see Bierstedt, Klaus D., 2003b:46023Kakol, Jerzy (with Saxon, Stephen A.) Montel (DF)-spaces, sequential (LM)-spaces and

the strongest locally convex topology. (English summary) 2003h:46013

Laubin, P. A projective description of the space of holomorphic germs. (English summary)2003f:46066

Lopushanskiı, O. V. (with Dmitrishin, M. I.) Operator calculus on the exponential typevectors of the operators with point spectrum. (English summary) 2003f:47028

Nacir, Chafik see Bensalem, Jawad, 2003f:46067Orlov, I. V. Mackey-Ahrens theorem for spatial scales. (English summary) [Mackey-Arens

theorem for spatial scales] 2003a:46011Saxon, Stephen A. see Kakol, Jerzy, 2003h:46013Schmets, Jean (with Valdivia, Manuel) Ultraholomorphic extension maps for spaces of

ultradifferentiable jets. (English summary) 2003d:46032

Valdivia, Manuel see Schmets, Jean, 2003d:46032Vogt, Dietmar see Bonet, Jose et al., 2003h:46056Wengenroth, Jochen A splitting theorem for subspaces and quotients of D ′. (English


46A16 Not locally convex spaces (metrizable topological linearspaces, locally bounded spaces, quasi-Banach spaces, etc.)

Albiac, F. (with Leranoz, C.) Some remarks on the geometry of quasi-Banach spaces.(English summary) 2003j:46005

Castillo, Jesus M. Fdez. (with Moreno Salguero, Yolanda) Konig-Witstock quasi-normson quasi-Banach spaces. 2003h:46005

Cobzas, Stefan Support points and the convexity of sets in topological vector spaces.(English summary) 2003b:46002

Dijkstra, Jan J. (with van Mill, Jan) Topological equivalence of discontinuous norms.(English summary) 2003e:46005

Ding, Guanggui On the boundedness of spheres in F ∗-spaces. (English summary)2003h:46006

Jaworowski, Jan (with Nguyen To Nhu; Sisson, Paul; Nguy˜en Nhu. y; Pham Quang Trinh)Rigid spaces and the AR-property. (English summary) 2003b:46003

Leranoz, C. see Albiac, F., 2003j:46005van Mill, Jan see Dijkstra, Jan J., 2003e:46005Moreno Salguero,Yolanda see Castillo, Jesus M. Fdez., 2003h:46005Nguy˜en Nhu. y see Jaworowski, Jan et al., 2003b:46003Nguyen To Nhu see Jaworowski, Jan et al., 2003b:46003Pham Quang Trinh see Jaworowski, Jan et al., 2003b:46003Roberts, James W. Every locally bounded space with trivial dual is the quotient of a rigid

space. (English summary) 2003a:46009

Sisson, Paul see Jaworowski, Jan et al., 2003b:46003Szarvas, Tibor Uniform Lp(w) spaces. (English summary) 2003a:46010

Szaz, Arpad Preseminorm generating relations and their Minkowski functionals. (Englishsummary) 2003h:46007

Vladimirescu, Cristian (with Vladimirescu, Simona) On separability and metrisability ofweak topologies. (English summary)

Vladimirescu, Simona see Vladimirescu, Cristian


Aqzzouz, Belmesnaoui The εC -product of a Schwartz b-space by a quotient Banach spaceand applications. (English summary) 2003m:46106

Hoffmann, Mark Robert The Banach envelope of Paley-Wiener type spaces. (Englishsummary) 2003i:46025

Kalton, Nigel J. (with Litvak, Alexander) Quotients of finite-dimensional quasi-normedspaces. (English summary) 2003f:46015

Litvak, Alexander see Kalton, Nigel J., 2003f:46015Spakowski, Andrzej On lower semicontinuous multifunctions in quasi-uniform and vector


Tararykova, T. V. Inequalities with sharp constants for operators satisfying the conditionsof p-convexity or p-concavity type. (see 2003f:00023)

Wengenroth, Jochen Hypercyclic operators on non-locally convex spaces. (Englishsummary) 2003j:47007

46A17 Bornologies and related structures; Mackey convergence,etc.

Cao, Ding Hua (with Zhu, Qi Ding) A condition of normability for bornologic spaces.(Chinese. English and Chinese summaries)

Zhu, Qi Ding see Cao, Ding Hua


Abdul-Hussein,Mushtaq Shaker (with Srivastava, G. S.) A study on bornologicalproperties of the space of entire functions of several complex variables. (Englishsummary) 2003h:46034

FUNCTIONAL ANALYSIS46A17 2003 1188

Almeida, J. (with Barreira, Luis) Hausdorff dimension in convex bornological spaces.(English summary) 2003c:46002

Arikan, H. (with Runov, L.; Zakharyuta, V. P.) Holomorphic functional calculus foroperators on a locally convex space. (English summary) 2003m:47025

Barreira, Luis seeAlmeida, J., 2003c:46002Bernardes, Nilson C., Jr. (with Pombo, Dinamerico P., Jr.) Polynomially bornological

topological vector spaces. (English summary) 2003e:46120Bosch-Giral, Carlos (with Gilsdorf, T.; Gomez Wulschner, Claudia; Vera Mendoza,

Rigoberto) Local completeness of lp(E), 1≤ p <∞. (English summary) 2003h:46009(with Garcıa-Martınez,Armando; Gilsdorf, T.) Some hereditary properties of l∞(E)from E. (English summary) 2003h:46010

Espanol, Luis (with Mınguez, M. Carmen) Cuts for l∞. (Spanish. English summary)2003c:18002

(with Lamban Pardo, Laureano A.) On bornologies, locales and toposes ofM -sets.(English summary) 2003i:18003

Garcıa-Martınez,Armando see Bosch-Giral, Carlos et al., 2003h:46010Gilsdorf, T. see Bosch-Giral, Carlos et al., 2003h:46009 and 2003h:46010Gomez Wulschner, Claudia see Bosch-Giral, Carlos et al., 2003h:46009Lamban Pardo, Laureano A. see Espanol, Luis, 2003i:18003Mınguez,M. Carmen see Espanol, Luis, 2003c:18002Pombo, Dinamerico P., Jr. see Bernardes, Nilson C., Jr., 2003e:46120Runov, L. see Arikan, H. et al., 2003m:47025



Srivastava,G. S. see Abdul-Hussein,Mushtaq Shaker, 2003h:46034Vera Mendoza,Rigoberto see Bosch-Giral, Carlos et al., 2003h:46009Zakharyuta,V. P. see Arikan, H. et al., 2003m:47025

46A19 Other “topological” linear spaces (convergence spaces,ranked spaces, spaces with a metric taking values in anordered structure more general than R, etc.)


Gunawan, Hendra Inner products on n-inner product spaces. (English summary)2003i:46023

Kusraev, A. G. (with Kutateladze, S. S.) Nonstandard methods and Kantorovich spaces.(see 2003f:46001)

Kutateladze,S. S. see Kusraev, A. G., (2003f:46001)Simko, Juraj Linear and R-linear betweenness spaces. (English summary) 2003a:03050

46A20 Duality theory

Garibay Bonales, Fernando (with Trigos-Arrieta, F. Javier; Vera Mendoza, Rigoberto) Acharacterization of Pontryagin-van Kampen duality for locally convex spaces. (Englishsummary) 2003c:46006

Orlov, I. V. Mackey-Ahrens theorem for spatial scales. (English summary) [Mackey-Arenstheorem for spatial scales] 2003a:46011

Trigos-Arrieta, F. Javier see Garibay Bonales, Fernando et al., 2003c:46006Vera Mendoza,Rigoberto see Garibay Bonales, Fernando et al., 2003c:46006


Banakh, Taras On topological classification of normed spaces endowed with the weaktopology or the topology of compact convergence. (English summary) 2003f:46020


Boos, Johann (with Leiger, Toivo) Dual pairs of sequence spaces. (English summary)2003a:46017



Dierolf, S. see Bonet, Jose et al., 2003e:46004Gok, Omer The band of nilpotents in the second order dual of an f-algebra. (English

summary) 2003j:46006

Kang, Shin Min see Li, Rong Lu et al., 2003c:46010Lee, Yuh-Jia (with Shih, Cheng-Yuh) The Riesz representation theorem on infinite

dimensional spaces and its applications. (English summary) 2003e:46070

Leiger, Toivo see Boos, Johann,2003a:46017Li, Longsuo see Li, Rong Lu et al., 2003c:46010Li, Rong Lu (with Li, Longsuo; Kang, Shin Min) Invariants in duality. (English summary)

2003c:46010Orlov, I. V. Normal functional indices and normal duality. (English summary)

2003h:46002

Ruiz Galan, Manuel (with Simons, Stephen) A new minimax theorem and a perturbedJames’s theorem. (English summary) 2003m:46109


summary) 2003f:46003Shih, Cheng-Yuh see Lee, Yuh-Jia, 2003e:46070Simons, Stephen see Ruiz Galan, Manuel, 2003m:46109Wengenroth, Jochen see Bonet, Jose et al., 2003e:46004Zarnadze,D. On homomorphisms, open operators and their adjoints. (English summary)

2003c:46005

46A22 Theorems of Hahn-Banach type; extension and lifting offunctionals and operators [see also 46M10]

Albius, Edmond (with Morillon, Marianne) Uniform smoothness entails Hahn-Banach.(English summary) 2003a:46012

Morillon, Marianne see Albius, Edmond, 2003a:46012Nortemann, Stefan The Hahn-Banach theorem for partially ordered totally convex,

positively convex and superconvexmodules. (English summary) 2003m:46009

Roth, Walter Separation properties for locally convex cones. (English summary)2003d:46005

Saccoman, John J. On the extension of linear operators. (English summary) 2003a:46013Zhong, Huai Jie A theorem for generalized extension of operators and some applications.

(English summary) 2003m:46010


Apostolova, L. N. (with Marinov, Marin Stefanov; Petrov, K. P.) Theorems for extensionon manifolds with almost complex structures. (English summary) 2003e:53033

Frank, Michael On Hahn-Banach type theorems for Hilbert C ∗-modules. (Englishsummary) 2003f:46093

Kindler, Jurgen Separation theorems for abstract convex structures. (English summary)2003e:52001

Marinov, Marin Stefanov seeApostolova, L. N. et al., 2003e:53033Mohebi, H. (with Rezapour, Sh.) On weak compactness of the set of extensions of a

continuous linear functional. (English summary) 2003g:46013Olteanu,Octav Consequences of a general extension theorem for linear operators and the

moment problem. (English summary) 2003f:47027Orlov, I. V. A finite increment formula for mappings into inductive scales of spaces.

(Russian. English, Russian andUkrainian summaries) 2003d:46004Pallaschke, D. (with Urbanski, R.) On the separation and order law of cancellation for

bounded sets. (English summary) 2003k:49040Petrov, K. P. see Apostolova, L. N. et al., 2003e:53033Rezapour, Sh. see Mohebi, H., 2003g:46013Reznichenko,E. A. (with Shkarin, S. A.) On linear extension operators. (English

summary) 2003k:54010

Shkarin, S. A. see Reznichenko,E. A., 2003k:54010Sołtysiak, A. The strong spectral extension property does not imply the multiplicative

Hahn-Banach property. (English summary) 2003m:46078Tabor, Jacek (with Yost, David Thomas) Applications of inverse limits to extensions of

operators and approximation of Lipschitz functions. (English summary) 2003j:41032Tix, Regina Some results on Hahn-Banach-type theorems for continuous d-cones. (English

summary) 2003e:68080Urbanski, R. see Pallaschke, D., 2003k:49040Yost, David Thomas see Tabor, Jacek, 2003j:41032

46A25 Reflexivity and semi-reflexivity [see also 46B10]


Vahabov, N. G. The localization of spectrum and its application. I. (English and Azerbai-jani summaries) 2003g:47009

46A30 Open mapping and closed graph theorems; completeness(including B-, Br-completeness)


Brattka, Vasco Computable versions of Baire’s category theorem. (English summary)2003d:03101

Bridges, Douglas S. (with Ishihara, Hajime) Constructive closed range and open mappingtheorems. (English summary) 2003d:03102

Ishihara, Hajime see Bridges, Douglas S., 2003d:03102Oluyemi, Sunday The completion of a metrisable BTB space is its strong bidual. (English


46A32 Spaces of linear operators; topological tensor products;approximation properties [see also 46B28, 46M05, 47L05,47L20]

Alimohammady, Mohsen Weak∗-norm sequentially continuous operators. (Englishsummary) 2003c:46007

Castaneda, G. (with Lopez Molina, J. A.; Rivera Ortun, Marıa Jose) New tensor normsand operator ideals associated to interpolation spaces between sequence spaces. (Englishsummary) 2003f:46005

Lopez Molina, J. A. see Castaneda,G. et al., 2003f:46005Plichko, Anatoliı (with Zagorodnyuk, A. V.) Isotropic mappings and automatic continuity

of polynomials, analytic and convex operators. (English summary) 2003d:46006

Rivera Ortun, Marıa Jose see Castaneda,G. et al., 2003f:46005Tita, Nicolae A generalization of the approximation spaces. (English summary)

2003e:46006Zagorodnyuk, A. V. see Plichko, Anatoliı, 2003d:46006



Archoun, M. (with Ouakkasse, N.; Raıssouli, Mustapha) Decomposition en produittensoriel inductif de quelques espaces fonctionnels. (English summary) [Inductive tensorproduct decomposition of some functional spaces] 2003e:46032

Bes, Juan (with Chan, Kit C.) Denseness of hypercyclic operators on a Frechet space.(English summary) 2003j:47006

Boyd, Christopher (with Dineen, Sean; Rueda, Maria Pilar) Weakly uniformly contin-uous holomorphic functions and the approximation property. (English summary)2003g:46049

Chan, Kit C. see Bes, Juan, 2003j:47006Concordido, Claudia F. R. (with Pombo, Dinamerico P., Jr.) Polynomials and multilinear

mappings in topological modules. (English summary) 2003d:46057

46A Topological linear spaces and related structures1189 2003 46A45

Dineen, Sean see Boyd, Christopher et al., 2003g:46049Huang, Ren Bin see Qiu, Jing Hui et al., 2003f:47004Kawabe, Jun Joint continuity of injective tensor products of vector measures in Banach

lattices. (English summary) 2003k:28007

Orlov, I. V. Normal decompositions of operator spaces over locally convex spaces.(Russian) 2003i:47012

Ouakkasse, N. see Archoun, M. et al., 2003e:46032Pombo, Dinamerico P., Jr. see Concordido, Claudia F. R., 2003d:46057Qiu, Jing Hui (with Zhang, Jian Ping; Huang, Ren Bin) The Lax theorem and the

existence of continuous left inverses. (Chinese. English and Chinese summaries)2003f:47004

Raıssouli,Mustapha see Archoun, M. et al., 2003e:46032Rueda,Maria Pilar see Boyd, Christopher et al., 2003g:46049Tanana,A. V. On the operator topologies used in approximation methods. (Russian.

English and Russian summaries) 2003k:47022

Vogt, Dietmar The tensor algebra of the space s . (English summary) 2003c:46086

Zhang, Jian Ping see Qiu, Jing Hui et al., 2003f:47004

46A35 Summability and bases [see also 46B15]

Korobeınik,Yu. F. On the convergence of series in locally convex spaces. (Russian)2003a:46014


Defant, Andreas (with Dıaz Alcaide, Juan Carlos; Garcıa, Domingo; Maestre, Manuel)Existence of unconditional bases in spaces of polynomials and holomorphic functions.(English summary) 2003e:46054

De Grande-De Kimpe, N. (with Kakol, Jerzy; Perez-Garcıa, Cristina; Schikhof, W. H.)Weak bases in p-adic spaces. (English and Italian summaries) 2003k:46109

Deheri, G. M. Characterization of a dF -(dB-) space and some criteria for a strong basis ina dF -space. (English summary)

Dıaz Alcaide, Juan Carlos see Defant, Andreas et al., 2003e:46054Ganichev,M. (with Kadets, Vladimir M.) Filter convergence in Banach spaces and

generalized bases. (English summary) 2003f:46019Garcıa, Domingo see Defant, Andreas et al., 2003e:46054Kadets, Vladimir M. see Ganichev,M., 2003f:46019Kakol, Jerzy see De Grande-De Kimpe, N. et al., 2003k:46109Maestre, Manuel see Defant, Andreas et al., 2003e:46054Perez-Garcıa, Cristina see De Grande-De Kimpe, N. et al., 2003k:46109Schikhof,W. H. see De Grande-De Kimpe, N. et al., 2003k:46109Sliwa, Wiesław Examples of non-Archimedean nuclear Frechet spaces without a Schauder

basis. (English summary) 2003d:46104On closed subspaces with Schauder bases in non-Archimedean Frechet spaces. (Englishsummary) 2003e:46122

On symmetric Schauder bases in non-Archimedean Frechet spaces. (English summary)2003g:46087

46A40 Ordered topological linear spaces, vector lattices[see also 06F20, 46B40, 46B42]

Aqzzouz,Belmesnaoui (with Nouira, Redouane) Sur les topologies de Lebesgue. [OnLebesgue topologies] 2003h:46008

(with Nouira, Redouane) Les operateurs precompacts sur les treillis vectorielslocalement convexe-solides. (French summary) [Precompact operators on locally convex-solid vector lattices] 2003k:46001

Emel′yanov, Eduard Yu. Infinitesimals in vector lattices. (English summary) (see2003f:46001)

FernandezLopez, Antonio2 (with Naranjo, Francisco) A characterization of Frechetlattices with the Lebesgue property. (Spanish. Spanish summary) 2003b:46004

Gok, Omer The band of nilpotents in the second order dual of an f-algebra. (Englishsummary) 2003j:46006

Komuro, Naoto On the order completeness in partially ordered linear spaces. (see2003a:00030)

Naranjo, Francisco see FernandezLopez, Antonio2, 2003b:46004Nouira, Redouane see Aqzzouz, Belmesnaoui, 2003h:46008 and 2003k:46001

Roth,Walter Integral representations for continuous linear functionals in operator-initiatedtopologies. (English summary) 2003d:46007

Zhang, Xiao Dong3 An extension theorem for sequentially smooth functionals andextension theorems for measures. (English summary) 2003a:46015

Zhou, Xuanwei Representation and its application of a kind of vector lattice. (Englishsummary) 2003j:46007


Alpay, Safak (with Uyar, Ayse) On local approximation of positive operators.2003m:47069

Boccuto, Antonio (with Candeloro, Domenico) Vitali and Schur-type theorems for Riesz-space-valued set functions. 2003f:28020

Candeloro,Domenico see Boccuto, Antonio, 2003f:28020Danet, Rodica-Mihaela (with Wong, Ngai Ching) Hahn-Banach-Kantorovich type

theorems with the range space not necessarily (o)-complete. (English summary)2003c:47072

Dilworth, S. J. Special Banach lattices and their applications. 2003d:46027


Kadelburg, Zoran (with Radenovic, Stojan) Subspaces and quotients of topological andordered vector spaces. 2003m:46008

Kudaıbergenov, K. K. Choquet’s theorem for measures with values in the ring of measurablefunctions. (Russian. English and Uzbek summaries) 2003m:46029

(Kutateladze,S. S.) see Nonstandard analysis and vector lattices, 2003f:46001

Murakami, Riichiro Composition operators on Riesz space. (English summary)2003c:47071

Naranjo, Francisco see FernandezLopez, Antonio2, 2003b:46001Radenovic, Stojan see Kadelburg, Zoran, 2003m:46008

Roth, Walter Separation properties for locally convex cones. (English summary)2003d:46005

Uyar, Ayse see Alpay, Safak, 2003m:47069Vath, Martin Riesz spaces and ideals of measurable functions. 2003j:28015

Wong, Ngai Ching see Danet, Rodica-Mihaela,2003c:47072Yan, Cong Hua Generalization of inductive topologies to L-topological vector spaces.

(English summary) 2003j:46120



46A45 Sequence spaces (including Kothe sequence spaces)[see also 46B45]

Albiac, F. (with Leranoz, C.) Uniqueness of unconditional basis of lp(c0) and lp(l2), 0<p< 1. (English summary) 2003e:46007

Altay, Bilal see Basar, Feyzi, 2003k:46002Basar, Feyzi (with Altay, Bilal) Matrix mappings on the space bs(p) and its α-, - and -

duals. (English summary) 2003k:46002Bennett, Grahame (with Boos, Johann; Leiger, Toivo) Sequences of 0’s and 1’s. (English

summary) 2003a:46016Blasco, Oscar (with Gregori, Pablo) Type and cotype in vector-valuedNakano sequence

spaces. (English summary) 2003d:46008

Boos, Johann (with Leiger, Toivo) Dual pairs of sequence spaces. (English summary)2003a:46017

(with Leiger, Toivo) Dual pairs of sequence spaces. II. (English and Estoniansummaries) 2003d:46009

see also Bennett, Grahame et al., 2003a:46016 and Zeltser, Maria et al., 2003m:46011Bosch-Giral, Carlos (with Gilsdorf, T.; Gomez Wulschner, Claudia; Vera Mendoza,

Rigoberto) Local completeness of lp(E), 1≤ p <∞. (English summary) 2003h:46009

(with Garcıa-Martınez,Armando; Gilsdorf, T.) Some hereditary properties of l∞(E)from E. (English summary) 2003h:46010

Chandra, Prabhat (with Tripathy, Binod Chandra) On generalised Kothe-Toeplitz duals ofsome sequence spaces. (English summary) 2003g:46002

Chandrasekhara Rao, K. The space of entire sequences. (see 2003m:46003)(with Subramanian, Nagarajan) A subset of the space of the entire sequences. (Englishsummary) 2003c:46008

(with Singaravel, T. M.) On matrices of Mazur type on rate spaces. 2003f:46006Connor, Jeff (with Demirci, Kamil; Orhan, C.) Multipliers and factorizations for bounded

statistically convergent sequences. (English summary) 2003k:46003Cui, Cheng Ri see Wu, Jun De et al., 2003i:46006Dagadur, Ilhan C-conull FK-spaces. (English summary) 2003k:46004

On some subspaces of an FK-space. (English summary) 2003i:46002

Cesaro conull absolute summability domains. (English summary) 2003j:46008Demirci, Kamil see Connor, Jeff et al., 2003k:46003Djakov, Plamen (with Terzioglu, T.; Yurdakul, M.; Zakharyuta, V. P.) Remarks on

bounded operators in Kothe spaces. (English summary) 2003e:46008

Dragilev, M. M. On Kothe spaces with pre-equivalent unconditional basis. (Russian)2003b:46005

Ehrhard, Thomas On Kothe sequence spaces and linear logic. (English summary)2003i:46003

Esi, Ayhan Generalized matrix transformations between some sequence spaces. (Englishsummary) 2003f:46007

Ferrando, Juan Carlos (with Lyudkovskiı, S. V.) Some barrelledness properties of c0(Ω, X ).(English summary) 2003h:46011

Fleischer, Isidore K-convergence entails absolute K-convergence in quasi-normed groups.(English summary) 2003c:46009

Garcıa-Martınez, Armando see Bosch-Giral, Carlos et al., 2003h:46010Gilsdorf, T. see Bosch-Giral, Carlos et al., 2003h:46009 and 2003h:46010

Gnanaseelan, C. (with Srivastava, P. D.) The sequence spaces 0(∆, f), (∆, f) and∞(∆, f) defined by a modulus functionf . (English summary) 2003f:46008

Gomez Wulschner, Claudia see Bosch-Giral, Carlos et al., 2003h:46009Gregori, Pablo see Blasco, Oscar, 2003d:46008Kang, Shin Min see Li, Rong Lu et al., 2003c:46010Khan, Mushir A. see Mursaleen et al., 2003e:46009Komuro, Naoto Generalized supremum in sequence spaces with order. (English summary)

2003a:46018

Leiger, Toivo see Bennett, Grahame et al., 2003a:46016;Boos, Johann, 2003a:46017;2003d:46009 and Zeltser, Maria et al., 2003m:46011

Leranoz, C. see Albiac, F., 2003e:46007Li, Longsuo see Li, Rong Lu et al., 2003c:46010 and 2003h:46012Li, Rong Lu (with Li, Longsuo; Shin, Minkang) Summability results for operator matrices

on topological vector spaces. (English summary) 2003h:46012(with Li, Longsuo; Kang, Shin Min) Invariants in duality. (English summary)2003c:46010

Lu, Shi Jie see Wu, Jun De, 2003g:46004Lyudkovskiı, S. V. see Ferrando, Juan Carlos, 2003h:46011de Malafosse, Bruno Some new properties of sequence spaces and application to the

continued fractions. (English summary) 2003i:46004Properties of some sets of sequences and application to the spaces of bounded differencesequences of order . (English summary) 2003f:46009

(with Malkowsky, Eberhard) Sequence spaces and inverse of an infinite matrix. (Englishsummary) 2003g:46003

Maleev, R. (with Zlatanov, B.) Smoothness in Musielak-Orlicz sequence spaces. (Englishsummary) 2003d:46010

FUNCTIONAL ANALYSIS46A45 2003 1190

Malkowsky, Eberhard Strong matrix domains, matrix transformations between them andthe Hausdorff measure of noncompactness. (English summary) (see 2003k:00013)see also de Malafosse, Bruno, 2003g:46003

Maslyuchenko,V. K. (with Mikhaılyuk, Vladimir Vasil′evich) On the coincidence ofKothe spaces from the family (LP(R): 0< P ≤∞). (Ukrainian. English and Russiansummaries) 2003i:46005

Mikhaılyuk,Vladimir Vasil′evich see Maslyuchenko,V. K., 2003i:46005Mursaleen (with Khan, Mushir A.; Qamaruddin) Some difference sequence spaces defined

by Orlicz functions. (English summary) 2003e:46009

Some analogues of Knopp’s core theorem. (English summary) 2003f:46010Orhan, C. see Connor, Jeff et al., 2003k:46003Qamaruddin see Mursaleen et al., 2003e:46009Qu, Wen Bo see Wu, Jun De et al., 2003i:46006Rath, D. A note on the completeness of the space of bounded sequences with values in a

Hausdorff locally convex topological vector space. (English summary) 2003f:46011Rhoades,Billy E. see Savas, Ekrem, 2003d:46011Sahiner, Ahmet Some new paranormed spaces defined by modulus function. (English


Sanhan,Winate see Suantai, Suthep, 2003e:46010Savas, Ekrem (with Rhoades, Billy E.) On some new sequence spaces of invariant means

defined by Orlicz functions. (English summary) 2003d:46011

Seydel,Detlef Matrix maps of quasi-convex null sequences. (English summary)2003d:46012

Shin,Minkang see Li, Rong Lu et al., 2003h:46012Singaravel,T. M. see Chandrasekhara Rao, K., 2003f:46006Srivastava,P. D. see Gnanaseelan,C., 2003f:46008Stikharnyı,A. P. A sharp estimate for the operator norm of a difference embedding.

(Russian. English, Russian andKazakh summaries) 2003c:46011

Suantai, Suthep On matrix transformations concerning the Nakano vector-valued sequencespace. (English summary) 2003c:46012

(with Sanhan, Winate) On -dual of vector-valued sequence spaces of Maddox. (Englishsummary) 2003e:46010

On matrix transformations of some vector-valued sequence spaces. (English summary)2003k:46006

see also Sudsukh, Chanan, 2003k:46007Subramanian,Nagarajan seeChandrasekhara Rao, K., 2003c:46008Sudsukh, Chanan (with Suantai, Suthep) Matrix transformations on the Maddox vector-

valued sequence spaces. (English summary) 2003k:46007

Terzioglu, T. see Djakov, Plamen et al., 2003e:46008Tripathy, Binod Chandra see Chandra, Prabhat, 2003g:46002Vera Mendoza,Rigoberto see Bosch-Giral, Carlos et al., 2003h:46009Waszak, Aleksander On the strong convergence in some sequence spaces. (English


Wu, Jun De (with Qu, Wen Bo; Cui, Cheng Ri) On the invariant of -multiplier convergentseries. (Chinese. English and Chinese summaries) 2003i:46006

(with Lu, Shi Jie) A general Orlicz-Pettis theorem. (English summary) 2003g:46004Xu, Yao Qun see Zhang, Li1 et al.

Yang, Dian Jun see Zhang, Li1 et al.

Yardimci, Seyhmus "-core for real bounded sequences. (English summary) 2003c:46013Yurdakul,M. see Djakov, Plamen et al., 2003e:46008Zakharyuta,V. P. see Djakov, Plamen et al., 2003e:46008Zeltser, Maria (with Boos, Johann; Leiger, Toivo) Sequences of 0’s and 1’s: new results via

double sequence spaces. (English summary) 2003m:46011

Zhang, Li1 (with Xu, Yao Qun; Yang, Dian Jun) Three kinds of absolute continuousfunctions of orderK on sequence spaces. (Chinese. English and Chinese summaries)

Zlatanov, B. see Maleev, R., 2003d:46010



AmezianeHassani, R. (with Babahmed,M.) Espaces parfaits dans une dualite separantesur un corps value non-archimedien. [Perfect spaces in a separating duality over a non-Archimedean valued field] 2003d:46103

Babahmed,M. see Ameziane Hassani, R., 2003d:46103Baral, Kamal Mani seeMishra, Shailendra Kumar, 2003m:40008

Boos, Johann (with Seydel, Detlef) Theorems of Toeplitz-Silverman type for maps definedby sequences of matrices. (English summary) 2003d:40003

Chen, Shu Tao (with Cui, Yun An; Hudzik, Henryk; Sims, Brailey) Geometric propertiesrelated to fixed point theory in some Banach function lattices. 2003f:46031

Cui, Yun An see Chen, Shu Tao et al., 2003f:46031Deheri, G. M. Characterization of a dF -(dB-) space and some criteria for a strong basis in

a dF -space. (English summary)Djakov, Plamen (with Ramanujan, M. S.) Bounded and unbounded operators between

Kothe spaces. (English summary) 2003e:47117Edely, Osama H. H. On Banach core and statistical core of a sequence. (English summary)

2003m:40012Garcıa Raffi, L. M. (with Romaguera, Salvador; Sanchez Perez, Enrique A.) Sequence

spaces and asymmetric norms in the theory of computational complexity. (Englishsummary) 2003h:68048

Gomez-Collado,Marıa del Carmen A sequence space representation of the space ofbounded ultradistributions of Beurling type. (English and Spanish summaries)2003d:46049

Hudzik,Henryk see Chen, Shu Tao et al., 2003f:46031(Jain, Pawan Kumar) see Sequence spaces and applications, 2003m:46003(Kamthan, Pawan Kumar) see Sequence spaces and applications,2003m:46003

Kemprasit, Yupaporn (with Petranuarat, Somkit) Superposition operators of cs, c, bs andl∞ into lp(1≤ p <∞). (English summary) 2003j:47037

Leranoz, C. see Albiac, F., 2003j:46005Liflyand, Elijah On quasi-monotone functions and sequences. (English summary)

2003k:46023

Liu, Ying An elementary proof for the Mazur-Orlicz theorem. (Chinese. English andChinese summaries)

Lu, Shi Jie see Wu, Jun De, 2003g:46001Malkowsky, Eberhard (with Rakocevic, Vladimir) The measure of noncompactness of

linear operators between spaces of strongly C1 summable and bounded sequences.(English summary) 2003e:47057

see also Sequence spaces and applications,2003m:46003

Marrero, I. Multipliers of Hankel-KMp spaces. (English summary) 2003b:46054Mishra, Shailendra Kumar (with Baral, KamalMani) Certain sequence spaces and matrix

transformations from Sl∞(p) to c and C . (English summary) 2003m:40008Patterson, Richard F. On asymptotically statistical equivalent sequences. (English

summary) 2003m:40005Petranuarat, Somkit see Kemprasit, Yupaporn,2003j:47037Rakocevic, Vladimir see Malkowsky, Eberhard, 2003e:47057Ramanujan,M. S. see Djakov, Plamen, 2003e:47117Romaguera, Salvador see Garcıa Raffi, L. M. et al., 2003h:68048Sanchez Perez, Enrique A. see Garcıa Raffi, L. M. et al., 2003h:68048Savas, Ekrem Some sequence spaces and statistical convergence. (English summary)

2003e:40008

Seydel, Detlef see Boos, Johann, 2003d:40003Sims, Brailey see Chen, Shu Tao et al., 2003f:46031Sun, Li Min2 A relation between weak and strong topologies in dual pairs. (English and

Chinese summaries) 2003m:46007


Wu, Jun De (with Lu, Shi Jie) A full-invariant theorem and some applications. (Englishsummary) 2003g:46001


Memorial Volume:

Kamthan, Pawan Kumar Sequence spaces and applications. 2003m:46003


46A50 Compactness in topological linear spaces; angelic spaces,etc.


Mercourakis, S. (with Stamati, E.) Compactness in the first Baire class and Baire-1operators. (English summary) 2003b:46006

Saxon, Stephen A. see Kakol, Jerzy, 2003h:46013Stamati, E. see Mercourakis, S., 2003b:46006


Behrends, Ehrhard (with Kadets, VladimirM.) Metric spaces with the small ball property.(English summary) 2003b:54032

Cascales, B. (with Namioka, I.; Orihuela, J.) The Lindelof property in Banach spaces.(English summary) 2003m:54028

Kadets, Vladimir M. see Behrends, Ehrhard, 2003b:54032Namioka, I. see Cascales, B. et al., 2003m:54028

Orihuela, J. see Cascales, B. et al., 2003m:54028

46A55 Convex sets in topological linear spaces; Choquet theory[see also 52A07]





Fonf, V. P. (with Lindenstrauss, Joram; Phelps, R. R.) Infinite dimensional convexity.2003c:46014

Lindenstrauss, Joram see Fonf, V. P. et al., 2003c:46014Murofushi, Toshiaki see Narukawa, YasuoNarukawa, Yasuo (with Murofushi, Toshiaki) Representation of Choquet integral.Niculescu, ConstantinP. Choquet theory for signed measures. (English summary)

2003f:28006

The Hermite-Hadamard inequality for convex functions of a vector variable. (Englishsummary) 2003h:26024

Okon, T. The Kakutani fixed point theorem for Robert spaces. (English summary)2003g:47106

Phelps, R. R. see Fonf, V. P. et al., 2003c:46014Pumplun, Dieter The metric completion of convex sets and modules. (English summary)

2003f:52001

Xuan, Heng Nong (with Zhang, Ting Xuan; Yang, Xiao Fan) A generalized form of theuniform boundedness principle. (Chinese. English and Chinese summaries)

Yang, Xiao Fan see Xuan, Heng Nong et al.

Zhang, Ting Xuan see Xuan, Heng Nong et al.

46A63 Topological invariants ((DN), (Ω), etc.)


Bonet, Jose (with Domanski, Paweł; Vogt, Dietmar) Interpolation of vector-valued realanalytic functions. (English summary) 2003h:46056

Domanski, Paweł see Bonet, Jose et al., 2003h:46056Le Mau Hai (with Tang Van Long) The non-pluripolarity of compact sets in complex

spaces and the property (LB∞) for the space of germs of holomorphic functions.(English summary) 2003h:46035

46B Normed linear spaces and Banach spaces; Banach lattices1191 2003 46B04

Tang Van Long see Le Mau Hai, 2003h:46035Vogt, Dietmar see Bonet, Jose et al., 2003h:46056

46A70 Saks spaces and their duals (strict topologies, mixedtopologies, two-norm spaces, co-Saks spaces, etc.)


Lal, Shiva Narain see Ram, Devanand et al., 2003f:47096Murthy, P. P. see Ram, Devanand et al., 2003f:47096Ram, Devanand (with Murthy, P. P.; Lal, Shiva Narain) Coincidence and common fixed

points in Saks spaces. (English summary) 2003f:47096

46A80 Modular spaces

Cai, Wang Jin (with Hudzik, Henryk) A note on ϕ-variationalmodular spaces. (Englishsummary) 2003a:46019

Hudzik,Henryk see Cai, Wang Jin, 2003a:46019


Hudzik,Henryk (with Maligranda, Lech) Amemiya norm equals Orlicz norm in general.(English summary) 2003e:46039

Maligranda,Lech see Hudzik, Henryk, 2003e:46039

46A99 None of the above, but in this section

Matsuda,Minoru On generalized fragmented sets. (Japanese) (see 2003a:00030)Xu, Yao Qun see Zhang, Li1 et al.

Xuan,Heng Nong (with Zhang, Ting Xuan; Yang, Xiao Fan) A generalized form of theuniform boundedness principle. (Chinese. English and Chinese summaries)

Yang, Dian Jun see Zhang, Li1 et al.Yang, Xiao Fan seeXuan, Heng Nong et al.

Zhang, Li1 (with Yang, Dian Jun; Xu, Yao Qun) The K th-order bounded variationfunctions and K th-order absolutely continuous functions on locally convex spaces.(Chinese. English and Chinese summaries)

Zhang, Ting Xuan see Xuan, Heng Nong et al.


Almira, Jose Marıa (with Luther, U.) Approximation algebras and applications. (Englishsummary) 2003i:41042

Apreutesei, G. The hyperspacial topologies and almost linear spaces.Arizmendi Peimbert, Hugo (with Harte, Robin E.) Almost openness in topological vector

spaces. (English summary) 2003a:46067Außenhofer,Lydia The Lie algebra of a nuclear group. (English summary) 2003m:22023

Choudhary, K. K. see Kumar, Pramod et al.

Espınola, Rafael (with Khamsi, M. A.) Introduction to hyperconvex spaces. 2003g:47099Fang, Jin-Xuan (with Xu, Xiao-li) Completeness and an extension theorem for continuous

fuzzy linear order-homomorphisms. (English summary) 2003h:46108Harte, Robin E. see Arizmendi Peimbert, Hugo, 2003a:46067Iovino, Jose On the maximality of logics with approximations. 2003a:03042

Khamsi, M. A. see Espınola, Rafael, 2003g:47099Kumar, Pramod (with Choudhary, K. K.; Prasad, Ramawatar) On non-Archimedean semi-

normed linear spaces. (English summary)Lu, Xuan Zhu Super efficiency in locally convex spaces. (Chinese. English and Chinese

summaries) 2003h:90069

Luther, U. see Almira, Jose Marıa, 2003i:41042Prasad, Ramawatar see Kumar, Pramod et al.

Xu, Xiao-li see Fang, Jin-Xuan, 2003h:46108

46Bxx Normed linear spaces and Banach spaces; Banachlattices For function spaces, see 46Exx.

Bagaria, Joan (with Lopez-Abad, Jordi) Weakly Ramsey sets in Banach spaces.2003d:46013

Casazza, Peter G. Approximation properties. 2003f:46012

Fonf, V. P. (with Lindenstrauss, Joram; Phelps, R. R.) Infinite dimensional convexity.2003c:46014


Lindenstrauss, Joram see Fonf, V. P. et al., 2003c:46014 and Johnson, William B.,2003f:46013

Lopez-Abad, Jordi see Bagaria, Joan, 2003d:46013Phelps, R. R. see Fonf, V. P. et al., 2003c:46014

Items with secondary classifications in 46Bxx

Abramovich, Yuri A. (with Aliprantis, Charalambos D.) An invitation to operatortheory. (English summary) 2003h:47072

(with Aliprantis, Charalambos D.) Problems in operator theory. (English summary)2003h:47073

Aliprantis, Charalambos D. see Abramovich, Yuri A., 2003h:47072 and 2003h:47073

(Banakh, Taras) see General topology in Banach spaces, 2003a:00015Gutman, A. E. (with Koptev, A. V.) Dual Banach bundles. (see 2003f:46001)(Johnson,William B.) see Handbook:Geometry of Banach spaces, 2003a:46001Koptev,A. V. see Gutman, A. E., (2003f:46001)(Lindenstrauss, Joram) see Handbook:Geometry of Banach spaces, 2003a:46001Morrison, Terry J. Functional analysis. 2003a:46007


General topology in Banach spaces General topology in Banach spaces. 2003a:00015

Handbook:

Geometry of Banach spaces Handbook of the geometry of Banach spaces. Vol. I.2003a:46001

Problems:Operator theory see Abramovich, Yuri A., 2003h:47072 and 2003h:47073

46B03 Isomorphic theory (including renorming) of Banach spaces

Bui Trong Kien The normalized duality mapping and two related characteristic propertiesof a uniformly convex Banach space. (English summary) 2003d:46014

Galego, Eloi Medina On solutions to the Schroeder-Bernstein problem for Banach spaces.(English summary) 2003k:46009

Banach spaces complemented in each other without isomorphic finite sums. (Englishsummary) 2003c:46015

Garcıa Raffi, L. M. (with Romaguera, Salvador; Sanchez Perez, Enrique A.) Thebicompletion of an asymmetric normed linear space. (English summary) 2003m:46012

Gasparis, Ioannis A continuum of totally incomparable hereditarily indecomposableBanach spaces. (English summary) 2003f:46014

Strictly singular non-compact operators on hereditarily indecomposable Banach spaces.(English summary) 2003j:46009

Hajek, Petr1 Smooth norms on certain C (K) spaces. (English summary) 2003m:46013

Komorowski, Ryszard A. (with Tomczak-Jaegermann,Nicole) Subspaces of l2(X ) andRad(X ) without local unconditional structure. (English summary) 2003c:46016

Lopez Pellicer, M. (with Montesinos Santalucıa, Vicente) Some remarks on l1-sequences.(English summary) 2003h:46014

Montesinos Santalucıa,Vicente see Lopez Pellicer, M., 2003h:46014Naor, Assaf (with Schechtman, Gideon) Remarks on non linear type and Pisier’s

inequality. (English summary) 2003j:46010Odell, Edward (with Schlumprecht, Th.) Trees and branches in Banach spaces. (English

summary) 2003h:46015Romaguera, Salvador see Garcıa Raffi, L. M. et al., 2003m:46012

Sanchez Perez, Enrique A. see Garcıa Raffi, L. M. et al., 2003m:46012Schechtman, Gideon see Naor, Assaf, 2003j:46010Schlumprecht, Th. see Odell, Edward, 2003h:46015Tomczak-Jaegermann, Nicole see Komorowski, Ryszard A., 2003c:46016

Items with secondary classifications in 46B03

Androulakis, George (with Schlumprecht, Th.) Strictly singular, non-compact operatorsexist on the space of Gowers and Maurey. (English summary) 2003b:46014

Argyros, Spiros A. (with Castillo, Jesus M. Fdez.; Suarez Granero, Antonio; JimenezSevilla, Mar; Moreno, Jose P.) Complementation and embeddings of c0(I ) in Banachspaces. 2003k:46022

Becerra Guerrero, Julio (with Rodrıguez Palacios, Angel) Transitivity of the norm onBanach spaces. 2003i:46022

Bednarık, Dusan Uniform Gateaux smoothness of higher order on separable Banachspaces. 2003h:46019

Castillo, Jesus M. Fdez. see Argyros, Spiros A. et al., 2003k:46022Dilworth, S. J. (with Kutzarova, Denka; Troyanski, S. L.) On some uniform geometric

properties in function spaces. (English summary) 2003e:46035Fabian, Marian J. (with Montesinos Santalucıa, Vicente; Zizler, Vaclav) Weakly compact

sets and smooth norms in Banach spaces. (English summary) 2003f:46021Ferrando, Juan Carlos On sums of Pettis integrable random elements. (English summary)

2003h:28020Finet, Catherine (with Martın Suarez, Miguel; Paya-Albert, Rafael) Numerical index and

renorming. (English summary) 2003h:46021Freedman, Walden An extension property for Banach spaces. (English summary)

2003a:46023Godefroy, Gilles Renormings of Banach spaces. 2003f:46023

(with Kalton, Nigel J.; Lancien, G.) Szlenk indices and uniform homeomorphisms.(English summary) 2003c:46023

Jimenez Sevilla,Mar see Argyros, Spiros A. et al., 2003k:46022Kalton, Nigel J. see Godefroy, Gilles et al., 2003c:46023Kutzarova, Denka see Dilworth, S. J. et al., 2003e:46035Lancien, G. see Godefroy, Gilles et al., 2003c:46023Martın Suarez, Miguel see Finet, Catherine et al., 2003h:46021Montesinos Santalucıa,Vicente see Fabian,Marian J. et al., 2003f:46021Moreno, Jose P. see Argyros, Spiros A. et al., 2003k:46022Nieto, Eduardo (with Rivas, Migdalia) OnM -structure, the asymptotic-normingproperty

and locally uniformly rotund renormings. (English summary) 2003m:46019Paya-Albert, Rafael see Finet, Catherine et al., 2003h:46021Pełczynski, Aleksander (with Wojciechowski, Michał) Sobolev spaces in several vari-

ables in L1-type norms are not isomorphic to Banach lattices. (English summary)2003m:46057

Rivas, Migdalia see Nieto, Eduardo, 2003m:46019

Rodrıguez Palacios, Angel see Becerra Guerrero, Julio, 2003i:46022Schlumprecht, Th. see Androulakis, George, 2003b:46014Suarez Granero, Antonio see Argyros, Spiros A. et al., 2003k:46022Troyanski, S. L. see Dilworth, S. J. et al., 2003e:46035Wojciechowski, Michał see Pełczynski, Aleksander, 2003m:46057Zizler, Vaclav see Fabian,Marian J. et al., 2003f:46021

46B04 Isometric theory of Banach spaces

Figiel, Tadeusz (with Semrl, Peter; Vaisala, Jussi) Isometries of normed spaces. (Englishsummary) 2003b:46007

Hagler, J. Complemented isometric copies of L1 in dual Banach spaces. (Englishsummary) 2003g:46005

Hashimoto, Kazuo1 see Takahashi, Yasuji et al., 2003e:46013Josefson, Bengt Subspaces of l∞(Γ) without quasicomplements. (English summary)

2003h:46016

FUNCTIONAL ANALYSIS46B04 2003 1192

Kato, Mikio see Takahashi, Yasuji et al., 2003e:46012 and 2003e:46013

Koldobsky,Alexander (with Konig, Hermann) Aspects of the isometric theory of Banachspaces. 2003c:46017

Konig,Hermann see Koldobsky, Alexander, 2003c:46017Saito, Kichi-Suke see Takahashi, Yasuji et al., 2003e:46012Semrl, Peter see Figiel, Tadeusz et al., 2003b:46007Takahashi, Yasuji (with Takahasi, Sin-Ei; Wada, Shuhei) Some convexity constants related

to Hlawka type inequalities in Banach spaces. (English summary) 2003e:46011

(with Kato, Mikio; Saito, Kichi-Suke) Strict convexity of absolute norms on C2 anddirect sums of Banach spaces. (English summary) 2003e:46012

(with Hashimoto, Kazuo1; Kato, Mikio) On sharp uniform convexity, smoothness, andstrong type, cotype inequalities. (English summary) 2003e:46013

Takahasi, Sin-Ei see Takahashi, Yasuji et al., 2003e:46011Vaisala, Jussi see Figiel, Tadeusz et al., 2003b:46007Wada, Shuhei see Takahashi, Yasuji et al., 2003e:46011


Baker, John A. Mappings whose derivatives are isometries. (English summary)2003e:39055

Baratella, Stefano (with Ng, Siu-Ah) Model-theoretic properties of Banach spaces.(English summary) 2003c:03066

(with Ng, Siu-Ah) Consequences of neocompact quantifier elimination. (Englishsummary) 2003m:03054


(with Rodrıguez Palacios, Angel; Wood, Geoffrey V.) Banach spaces whose algebras ofoperators are unitary: a holomorphic approach. (English summary) 2003j:46026

Bunce, Leslie J. (with Peralta, Antonio M.) The alternativeDunford-Pettis property inC ∗-algebras and von Neumann preduals. (English summary) 2003m:46086

Cabello Sanchez,Felix (with Molnar, Lajos) Reflexivity of the isometry group of someclassical spaces. (English summary) 2003j:47046

Dilworth, S. J. (with Patterson, Joseph P.) An extension of Elton’s ln1 theorem to complexBanach spaces. (English summary) 2003i:46007

Gasparis, Ioannis On contractively complemented subspaces of separableL1-preduals.(English summary) 2003f:46018

Jung, Soon-Mo Asymptotic properties of isometries. (English summary) 2003m:39041

Kalton, Nigel J. A remark on quasi-isometries. (English summary) 2003k:46025Matouskova,Eva Almost isometries of balls. (English summary) 2003b:46018

Molnar, Lajos seeCabello Sanchez,Felix, 2003j:47046Ng, Siu-Ah see Baratella, Stefano, 2003c:03066 and 2003m:03054Patterson, Joseph P. see Dilworth, S. J., 2003i:46007Peralta, AntonioM. see Bunce, Leslie J., 2003m:46086

Praetorius, Dirk Remarks and examples concerning distance ellipsoids. (English summary)2003h:46025

RodrıguezPalacios, Angel see Becerra Guerrero, Julio et al., 2003i:46022 and 2003j:46026Wood, Geoffrey V. see Becerra Guerrero, Julio et al., 2003j:46026

46B07 Local theory of Banach spaces

Giannopoulos,Apostolos A. (with Milman, Vitali D.) Euclidean structure in finitedimensional normed spaces. 2003b:46008

Kalton, Nigel J. (with Litvak, Alexander) Quotients of finite-dimensional quasi-normedspaces. (English summary) 2003f:46015

Litvak, Alexander see Kalton, Nigel J., 2003f:46015Mankiewicz, Piotr (with Tomczak-Jaegermann,Nicole) Geometry of families of random

projections of symmetric convex bodies. (English summary) 2003a:46020

Milman, Vitali D. see Giannopoulos,ApostolosA., 2003b:46008Popa, Dumitru Lipschitzian characterizations of finite dimensional Banach spaces. (English


Tian, Chang An (with Yang, Chang Sen) The entropy of an isomorphism between two n-dimensional Banach spaces. (Chinese. English and Chinese summaries)

Tomczak-Jaegermann, Nicole see Mankiewicz, Piotr, 2003a:46020Yang, Chang Sen see Tian, Chang An


Gluskin, E. D. (with Litvak, Alexander; Tomczak-Jaegermann,Nicole) An example of aconvex body without symmetric projections. (English summary) 2003e:52006

(with Milman, Vitali D.) Randomizing properties of convex high-dimensional bodiesand some geometric inequalities. (English and French summaries) 2003c:52005

Gordon, Yehoram (with Litvak, Alexander; Schutt, Carsten; Werner, Elisabeth) Geometryof spaces between polytopes and related zonotopes. (English summary) 2003i:52006

Hashimoto, Kazuo1 see Takahashi, Yasuji et al., 2003e:46013Johnson,William B. (with Schechtman, Gideon) Finite dimensional subspaces of Lp.

(English summary) 2003c:46041Kato, Mikio see Takahashi, Yasuji et al., 2003e:46013Koldobsky,Alexander (with Konig, Hermann) Aspects of the isometric theory of Banach

spaces. 2003c:46017

Komorowski, Ryszard A. (with Tomczak-Jaegermann,Nicole) Subspaces of l2(X ) andRad(X ) without local unconditional structure. (English summary) 2003c:46016

Konig,Hermann see Koldobsky, Alexander, 2003c:46017Litvak, Alexander see Gluskin, E. D. et al., 2003e:52006 and Gordon, Yehoram et al.,

2003i:52006

Milman, Vitali D. see Gluskin, E. D., 2003c:52005Schechtman,Gideon see Johnson,William B., 2003c:46041Schutt,Carsten see Gordon, Yehoram et al., 2003i:52006Takahashi, Yasuji (with Hashimoto, Kazuo1; Kato, Mikio) On sharp uniform convexity,

smoothness, and strong type, cotype inequalities. (English summary) 2003e:46013

Tomczak-Jaegermann, Nicole see Komorowski, Ryszard A., 2003c:46016 and Gluskin, E. D.et al., 2003e:52006

Werner, Elisabeth see Gordon, Yehoram et al., 2003i:52006

46B08 Ultraproduct techniques in Banach space theory[see also 46M07]

Khamsi, M. A. (with Sims, Brailey) Ultra-methods in metric fixed point theory.2003f:46016

Sims, Brailey see Khamsi, M. A., 2003f:46016


Baratella, Stefano (with Ng, Siu-Ah) Model-theoretic properties of Banach spaces.(English summary) 2003c:03066

(with Ng, Siu-Ah) Consequences of neocompact quantifier elimination. (Englishsummary) 2003m:03054

Ge, Liming (with Hadwin, Don) Ultraproducts of C ∗-algebras. (English summary)2003f:46083

Hadwin, Don see Ge, Liming, 2003f:46083Lopez Molina, J. A. (with Puerta, M. E.; Rivera Ortun, Marıa Jose) On the structure of

ultraproducts of real interpolation spaces. 2003f:46116

Ng, Siu-Ah see Baratella, Stefano, 2003c:03066 and 2003m:03054

Puerta, M. E. see Lopez Molina, J. A. et al., 2003f:46116Rivera Ortun, Marıa Jose see Lopez Molina, J. A. et al., 2003f:46116

46B09 Probabilistic methods in Banach space theory[see also 60Bxx]

Burkholder, Donald L. Martingales and singular integrals in Banach spaces. 2003b:46009

Gan, Shi Xin Characterization of type p Banach spaces by the weak law of large numbers.(English summary) 2003c:46018

Montgomery-Smith,Stephen Rearrangement invariant norms of symmetric sequencenorms of independent sequences of random variables. (English summary) 2003m:46014


Cheng, Riyan (with Gan, Shi Xin) Atomic decompositions for two-parameter vector-valued martingales and two-parameter vector-valuedmartingale spaces. (Englishsummary) 2003e:60007

Dilworth, S. J. (with Patterson, Joseph P.) An extension of Elton’s ln1 theorem to complexBanach spaces. (English summary) 2003i:46007

Ferrando, Juan Carlos On the convergence of certain sums of independent randomelements. (English summary) 2003e:60008

Gan, Shi Xin see Cheng, Riyan, 2003e:60007Garcıa-Cuerva, Jose (with Parcet, Javier) Quantized orthonormal systems: a non-

commutativeKwapien theorem. (English summary) 2003m:46089

Gluskin, E. D. (with Litvak, Alexander; Tomczak-Jaegermann,Nicole) An example of aconvex body without symmetric projections. (English summary) 2003e:52006

Godefroy, Gilles Renormings of Banach spaces. 2003f:46023

Gordon, Yehoram (with Litvak, Alexander; Schutt, Carsten; Werner, Elisabeth) Geometryof spaces between polytopes and related zonotopes. (English summary) 2003i:52006

Iksanov, Oleksandr M. Remarks on proofs of some results on self-decomposability inBanach spaces. (Ukrainian. English and Ukrainian summaries)

Junge, Marius On cotype and summing properties in Banach spaces. (English summary)2003j:47025

Ledoux, Michel The concentration of measure phenomenon. (English summary)2003k:28019

Litvak, Alexander see Gluskin, E. D. et al., 2003e:52006 and Gordon, Yehoram et al.,2003i:52006

Mankiewicz, Piotr (with Tomczak-Jaegermann,Nicole) Geometry of families of randomprojections of symmetric convex bodies. (English summary) 2003a:46020

(with Szarek, Stanisław J.) On the geometry of proportional quotients of lm1 . (Englishsummary) 2003m:46018

Martınez, Teresa On weighted inequalities for martingale transform operators. (Englishsummary) 2003k:60093

Parcet, Javier see Garcıa-Cuerva, Jose, 2003m:46089Patterson, Joseph P. see Dilworth, S. J., 2003i:46007Rudelson, M. (with Vershynin, R.) Embedding Levy families into Banach spaces. (English

summary) 2003c:46026Schutt, Carsten see Gordon, Yehoram et al., 2003i:52006Szarek, Stanisław J. see Mankiewicz, Piotr, 2003m:46018

Tomczak-Jaegermann, Nicole see Mankiewicz, Piotr, 2003a:46020 and Gluskin, E. D. et al.,2003e:52006

Vershynin, R. see Rudelson,M., 2003c:46026Werner, Elisabeth see Gordon, Yehoram et al., 2003i:52006

46B10 Duality and reflexivity [see also 46A25]

Banakh, I. On Banach spaces possessing an ε-net without weak limit points. (English,Russian and Ukrainian summaries) 2003k:46010

Cepedello Boiso, Manuel Two characterizations of super-reflexiveBanach spaces by thebehaviour of differences of convex functions. (English summary) 2003e:46014

Cho, Kyugeun Averaging property in Banach spaces. (English summary) 2003j:46011

Galaz-Fontes, Fernando Reflexivity and the transposed operator. (Spanish. Spanishsummary) 2003f:46017


Gavryliv, O. S. On the structure of a separable Banach space. (Ukrainian. English, Russianand Ukrainian summaries) 2003k:46011

Lopez Pellicer, M. (with Montesinos Santalucıa, Vicente) Cantor sets in the dual of aseparable Banach space. Applications. (English summary) 2003e:46015

Montesinos Santalucıa,Vicente see Lopez Pellicer, M., 2003e:46015Sadarangani,Kishin B. A weak property () equals reflexivity for a Banach space. (English



Simons, Stephen Excesses, duality gaps and weak compactness. (English summary)2003c:46019


Alvarez, Teresa (with Cross, Ronald; Wilcox, Diane) Adjoint characterisations of quasi-weakly compact linear relations. (English summary) 2003m:47005

Cascales, B. (with Namioka, I.; Orihuela, J.) The Lindelof property in Banach spaces.(English summary) 2003m:54028

Cross, Ronald seeAlvarez, Teresa et al., 2003m:47005

D’Antoni, Claudio (with Zsido, Laszlo) Analytic extension of vector valued functions.(English summary) 2003e:46066

Godefroy, Gilles Renormings of Banach spaces. 2003f:46023

(with Indumathi, V.) Norm-to-weakupper semi-continuity of the duality and pre-dualitymappings. (English summary) 2003j:46018

Gonzalez,Manuel (with Martınez-Abejon, Antonio) Local dual spaces of Banach spacesof vector-valued functions. (English summary) 2003g:46039

Indumathi, V. see Godefroy, Gilles, 2003j:46018Jarosz, Krzysztof (with Rao, T. S. S. R. K.) Local isometries of function spaces. (English

summary) 2003m:46036

Kalenda,Ondrej F. K. A new Banach space with Valdivia dual unit ball. (English summary)2003i:46013

Martınez-Abejon,Antonio see Gonzalez,Manuel, 2003g:46039Namioka, I. seeCascales, B. et al., 2003m:54028

Orihuela, J. see Cascales, B. et al., 2003m:54028

Ostrovskii, M. I. Weak∗ sequential closures in Banach space theory and their applications.(English summary) 2003g:46015

Pemba, J.-P. James spaces over partially ordered index-sets. (English summary)2003g:46007

Penot, Jean-Paul A duality for starshaped functions. (English summary) 2003g:49053

Rao, T. S. S. R. K. see Jarosz, Krzysztof, 2003m:46036

Sanhan,Winate see Suantai, Suthep, 2003e:46010Suantai, Suthep (with Sanhan, Winate) On -dual of vector-valued sequence spaces of

Maddox. (English summary) 2003e:46010

Wark, H. M. A non-separable reflexive Banach space on which there are few operators.(English summary) 2003a:46031

Wenzel, Jorg Uniformly convex operators and martingale type. (English summary)2003f:46028

Wilcox, Diane see Alvarez, Teresa et al., 2003m:47005

Zsido, Laszlo see D’Antoni, Claudio, 2003e:46066

46B15 Summability and bases [see also 46A35]

Das, Pratulananda see Lahiri, Benoy Kumar, 2003h:46017Ding, You Zheng see Liu, Yu et al., 2003e:46018Farmaki, Vassiliki Ordinal indices and Ramsey dichotomies measuring c0-content and

semibounded completeness. (English summary) 2003b:46010

Fonf, V. P. (with Plichko, Anatoliı; Shevchik, V. V.) On a functional-analysis approach toorthogonal sequences problems. (English and Spanish summaries) 2003b:46011

Ganichev,M. (with Kadets, Vladimir M.) Filter convergence in Banach spaces andgeneralized bases. (English summary) 2003f:46019

Jimenez Sevilla,Mar see Suarez Granero, Antonio et al., 2003h:46018Kadets, Vladimir M. see Ganichev,M., 2003f:46019Kalenda,Ondrej F. K. Note on Markushevich bases in subspaces and quotients of Banach

spaces. (English summary) 2003e:46017

M -bases in spaces of continuous functions on ordinals. (English summary) 2003b:46012

Karabyn,O. Nonstandard bases of subspaces in a Hilbert space. (Ukrainian. English,Russian and Ukrainian summaries) 2003k:46012

Kvaratskheliya,V. V. see Vakhaniya,Nikolaı Nikolaevich, 2003k:46013Lahiri, Benoy Kumar (with Das, Pratulananda) Subseries in Banach spaces. (English

summary) 2003h:46017

Liu, Yu (with Zhou, Jia Yun; Ding, You Zheng) Study of the stability of frames andatomic decomposition for Banach spaces. (Chinese. English and Chinese summaries)2003e:46018

Moreno, Jose P. see Suarez Granero, Antonio et al., 2003h:46018Pelczar, Anna Maria Subsymmetric sequences and minimal spaces. (English summary)

2003j:46012

Pemba, J.-P. James spaces over partially ordered index-sets. (English summary)2003g:46007

Plichko, Anatoliı see Fonf, V. P. et al., 2003b:46011Shevchik, V. V. Images of orthonormal sequences and flattened subspaces in a Hilbert

space. (English summary) 2003c:46020

see also Fonf, V. P. et al., 2003b:46011Suarez Granero, Antonio (with Jimenez Sevilla,Mar; Moreno, Jose P.) On -independence

and the Kunen-Shelah property. (English summary) 2003h:46018

Vakhaniya,Nikolaı Nikolaevich (with Kvaratskheliya, V. V.) An application of the Brunel-Sucheston spreading model. (English and Georgian summaries) 2003k:46013

Xin, Jie (with Zhou, Jia Yun) Perturbation and stability of frames and atomic decomposi-tions for Banach spaces. (Chinese. English and Chinese summaries) 2003k:46014

Yao, Xi Yan (with Zhang, Jing Jie) Equivalence relations between generalized frames.(Chinese. English and Chinese summaries) 2003d:46015

Zhang, Jing Jie see Yao, Xi Yan, 2003d:46015Zhou, Jia Yun see Liu, Yu et al., 2003e:46018 and Xin, Jie, 2003k:46014


Aasma, Ants On the summability of Fourier expansions in Banach spaces. (English andEstonian summaries) 2003g:42014

Aizpuru Tomas, Antonio (with Perez Fernandez, Francisco Javier) Sequence spacesassociated to a series in a Banach space (sequence spaces associated to a series). (Englishsummary) 2003i:46017

Albiac, F. (with Leranoz, C.) Uniqueness of unconditional basis of lp(c0) and lp(l2), 0<p< 1. (English summary) 2003e:46007

Bercovici, Hari (with Kostov, Stoyko) Perturbation of orthonormal bases with anapplication to diagonalization. (English summary) 2003i:47002

Christensen, Ole An introduction to frames and Riesz bases. 2003k:42001Ciesielski, Zbigniew A look at bases in function spaces at the beginning of the XXI century.

(English summary) 2003h:46037Dilworth, S. J. (with Kalton, Nigel J.; Kutzarova, Denka) Greedy bases in Banach spaces.

(see 2003h:41001)Dodds, P. G. (with Semenov, E. M.; Sukochev, F. A.) RUC systems in rearrangement

invariant spaces. (English summary) 2003f:46041Dubinskiı, Yuliı A. The general form of arbitrary linear functionals on the analytic Sobolev

spaces. 2003h:46046

Figiel, Tadeusz (with Wojtaszczyk, P.) Special bases in function spaces. (English summary)2003b:46036

Frank, Michael (with Larson, David R.) Frames in Hilbert C ∗-modules and C ∗-algebras.(English summary) 2003i:42040

Gubreev, G. M. (with Tarasenko, A. A.) Unconditional basis property for some familiesof functions and continuous invertibility of Toeplitz operators with unimodular symbols.(English summary) 2003h:47051

Holub, James R. Invertibility of operators on Hilbert space defined by frames. (Englishsummary) 2003k:47002

Jimenez Pozo, Miguel A. Characterization of the convergent sequences in a class of Banachspaces. (English summary) 2003i:41044

Kalton, Nigel J. see Dilworth, S. J. et al., (2003h:41001)Karabyn, O. On notion of bases in a Hilbert space. (English and Russian summaries)

2003j:46117Kashin, B. S. (with Kulikova, T. Yu.) A remark on the approximation properties of frames

of general form. (Russian) 2003m:46033

(with Kulikova, T. Yu.) A remark on the description of frames of general form.(Russian) 2003m:46034

Khrabrov, A. I. Distances between spaces with unconditional bases. (English summary)2003f:46025

Kleper, Dvir (with Schechtman, Gideon) Block bases of the Haar system as complementedsubspaces of Lp, 2< p<∞. (English summary) 2003k:46031

Kostov, Stoyko see Bercovici, Hari, 2003i:47002Kulikova, T. Yu. see Kashin, B. S., 2003m:46033 and 2003m:46034

Kutzarova, Denka see Dilworth, S. J. et al., (2003h:41001)Larson, David R. see Frank, Michael, 2003i:42040Leranoz, C. see Albiac, F., 2003e:46007Li, FengWei see Yao, Xi Yan

Lyubarskii, Yurii I. (with Seip, Kristian) A splitting problem for unconditional bases ofcomplex exponentials. 2003d:30002

Mogilevskii, V. I. (with Revenko, Aleksander) Weak generalized limit and ergodictheorems. (English summary) 2003c:47017

Nowak, Marian Weak compactness in Kothe Bochner spaces and regular methods ofsummability. (English summary) 2003k:46043

Ortega-Cerda, Joaquim (with Seip, Kristian) Fourier frames. (English summary)2003k:42055

Perez Fernandez,Francisco Javier see Aizpuru Tomas, Antonio, 2003i:46017Pompe, Waldemar Unconditional biorthogonal wavelet bases in Lp(Rd ). (English

summary) 2003c:42038

Revenko, Aleksander see Mogilevskii, V. I., 2003c:47017Schechtman, Gideon see Kleper, Dvir, 2003k:46031Seip, Kristian see Lyubarskii, Yurii I., 2003d:30002 and Ortega-Cerda, Joaquim,

2003k:42055

Semenov, E. M. see Dodds, P. G. et al., 2003f:46041Sukochev, F. A. see Dodds, P. G. et al., 2003f:46041Tarasenko, A. A. see Gubreev, G. M., 2003h:47051Wojtaszczyk, P. see Figiel, Tadeusz, 2003b:46036Yang, Da Chun1 Frame characterizationsof Besov and Triebel-Lizorkin spaces on spaces of

homogeneous type and their applications. (English summary) 2003k:46042

Yao, Xi Yan (with Li, Feng Wei) Some characterizations of Bessel sets and generalizedframes. (Chinese. English and Chinese summaries)

Zink, Robert E. On the Gram-Schmidt orthonormalizations of subsystems of Schaudersystems. (English summary) 2003c:42028

46B20 Geometry and structure of normed linear spaces

Aleksandrov, G. A. Banach spaces without Kadec-Klee property. (English summary)2003e:46019

Alspach, Dale (with Odell, Edward) Lp spaces. 2003b:46013

Androulakis, George (with Schlumprecht, Th.) Strictly singular, non-compact operatorsexist on the space of Gowers and Maurey. (English summary) 2003b:46014

Azagra, Daniel (with Jimenez Sevilla, Mar) Geometrical and topological properties ofbumps and starlike bodies in Banach spaces. 2003j:46013

Bai, Guo Zhong (with Kang, Dong Sheng) Smoothness and averageuniform convexity ofBanach spaces. (Chinese. English and Chinese summaries)

Balashov, M. V. An analogue of the Kreın-Milman theorem for a strongly convex hull in aHilbert space. (Russian. Russian summary) 2003a:46021

Banakh, Taras On topological classification of normed spaces endowed with the weaktopology or the topology of compact convergence. (English summary) 2003f:46020

Banas, Jozef (with Sadarangani, Kishin B.) Compactness conditions and strongsubdifferentiability of a norm in geometry of Banach spaces. 2003m:46015

Baronti, Marco (with Casini, Emanuele; Franchetti, Carlo) The retraction constant insome Banach spaces. (English summary) 2003k:46015

Bastero, Jesus (with Romance, Miguel) Extensions of Khinchin-Kahane inequalities forthe unit ball of lnq , 0< q < 1. (Spanish. English summary) 2003b:46015

Becerra Guerrero, Julio (with Rodrıguez Palacios, Angel) Convex-transitiveBanachspaces, big points, and the duality mapping. 2003g:46008



Bilik, Dmitriy (with Kadets, Vladimir M.; Shvidkoy, Roman; Sirotkin, G. G.; Werner,Dirk) Narrow operators on vector-valued sup-normed spaces. (English summary)2003j:46014

Bossard, Benoıt A coding of separable Banach spaces. Analytic and coanalytic families ofBanach spaces. (English summary) 2003d:46016

Cabrera, I. J. (with Sadarangani, Kishin B.) Weak near convexity and smoothness ofBanach spaces. (English summary) 2003a:46022

Casazza, Peter G. (with Nielsen, Niels Jørgen) The Maurey extension property for Banachspaces with the Gordon-Lewis property and related structures. (English summary)2003k:46016

Casini, Emanuele see Baronti, Marco et al., 2003k:46015Chen, Dong Xiao (with Chen, Jian Lan) On infinitely singular operators. (Chinese. English

and Chinese summaries) 2003k:46017

Chen, Jian Lan see Chen, Dong Xiao, 2003k:46017 and Zhong,Huai Jie, 2003m:46024

Chen, Shu Tao (with Hu, Chang Ying) Extreme points and rotundity of the Luxemburgnorm in Orlicz-Sobolev spaces. (Chinese. English and Chinese summaries)

Cheng, Li Xin (with Ruan, Ying-bin; Teng, Yan Mei) Approximation of convex functionson the dual of Banach spaces. (English summary) 2003d:46017

see also Zhong,Huai Jie, 2003f:46029Cho, Chong-Man Operators from certain Banach spaces to Banach spaces of cotype q ≥ 2.

(English summary) 2003c:46021Cilia, Raffaella (with D’Anna, Maria; Gutierrez del Alamo, Joaquın M.) Polynomial

characterization ofL∞-spaces. (English summary) 2003j:46015

Cui, Yun An (with Wu, Chun-xue) Some geometric coefficient in Banach space cα.(English and Chinese summaries)

D’Anna, Maria see Cilia, Raffaella et al., 2003j:46015Deng, Lei (with Xia, Xia) A property for uniformly convex Banach spaces. (Chinese.

English and Chinese summaries)Dilworth, S. J. (with Patterson, Joseph P.) An extension of Elton’s ln1 theorem to complex

Banach spaces. (English summary) 2003i:46007

Douglas, Ronald G. (with Misra, Gadadhar) On quotient modules. (English summary)2003c:46022

Dowling, Patrick N. (with Lennard, C. J.; Turett, B.) Characterizations of weakly compactsets and new fixed point free maps in c0. (English summary) 2003m:46016

Dutrieux, Yves Lipschitz-quotients and the Kunen-Martin theorem. (English summary)2003e:46020

Fabian,Marian J. (with Zizler, Vaclav) Norms that locally depend on countably manylinear functionals. 2003i:46008(with Montesinos Santalucıa, Vicente; Zizler, Vaclav) Weakly compact sets and smoothnorms in Banach spaces. (English summary) 2003f:46021

Fang, Xi Nian (with Wang, Jian Hua3) Convexity and Banach-Saks property. (Chinese.English and Chinese summaries) 2003f:46022

Fetter, Helga (with Gamboa de Buen, Berta) Properties ' versus . (English summary)2003h:46020

Finet, Catherine (with Martın Suarez, Miguel; Paya-Albert, Rafael) Numerical index andrenorming. (English summary) 2003h:46021

Franchetti,Carlo see Baronti, Marco et al., 2003k:46015Freedman,Walden An extension property for Banach spaces. (English summary)

2003a:46023

Fry, Robb Extensions of uniformly smooth norms on Banach spaces. (English summary)2003e:46021

(with McManus, S.) Smooth bump functions and the geometry of Banach spaces: a briefsurvey. (English summary) 2003g:46009

Gamboa de Buen, Berta see Fetter, Helga, 2003h:46020Gao, Ji Normal structure, fixed points and related parameters in Banach spaces. (English

summary) 2003j:46016Modulus of convexity in Banach spaces. (English summary) 2003k:46018

Garcia-Falset, Jesus (with Jimenez-Melado, Antonio; Llorens Fuster, Enrique) Stability ofthe fixed point property for nonexpansivemappings. 2003j:46017

Garcıa Raffi, L. M. (with Romaguera, Salvador; Sanchez Perez, Enrique A.) Extensions ofasymmetric norms to linear spaces. (English summary) 2003i:46009

Godefroy, Gilles The Szlenk index and its applications. (English summary) 2003b:46016Renormings of Banach spaces. 2003f:46023

(with Kalton, Nigel J.; Lancien, G.) Szlenk indices and uniform homeomorphisms.(English summary) 2003c:46023

(with Indumathi, V.) Norm-to-weakupper semi-continuity of the duality and pre-dualitymappings. (English summary) 2003j:46018

Goebel, Kazimierz On the problem of retracting balls onto their boundary. (Englishsummary) 2003k:46019

Gowda,Huche (with Lokesha, V.) A note on characterisations of strict convexity. (Englishsummary) 2003i:46010

(with Lokesha, V.) On normed linear spaces. (English summary) 2003i:46011Gutierrez del Alamo, JoaquınM. see Cilia, Raffaella et al., 2003j:46015Haller, Rainis M (r, s)-inequalities. (English and Estonian summaries) 2003h:46022Hinrichs, Aicke (with Wenzel, Jorg) The average distance property of classical Banach

spaces. II. (English summary) 2003d:46018Hu, Chang Ying see Chen, Shu Tao

Indumathi, V. see Godefroy, Gilles, 2003j:46018Jimenez-Melado, Antonio see Garcia-Falset, Jesus et al., 2003j:46017Jimenez Sevilla,Mar (with Moreno, Jose P.) A note on porosity and the Mazur

intersection property. (English summary) 2003f:46024see also Azagra, Daniel, 2003j:46013 and Suarez Granero, Antonio et al., 2003m:46022

Johnson,William B. (with Lindenstrauss, Joram; Preiss, David; Schechtman, Gideon)Lipschitz quotients from metric trees and from Banach spaces containing l1. (Englishsummary) 2003h:46023

Kaczor, Wiesława (with Prus, Stanisław) Asymptotical smoothness and its applications.(English summary) 2003i:46012

Kadets, Vladimir M. (with Shumyatskiı, B. M.) Additions to the periodic decomposition

theorem. (English summary) 2003g:46010

see also Bilik, Dmitriy et al., 2003j:46014Kalenda, Ondrej F. K. Valdivia compacta and biduals of Asplund spaces. (English

summary) 2003d:46020A new Banach space with Valdivia dual unit ball. (English summary) 2003i:46013

A weak Asplund space whose dual is not in Stegall’s class. (English summary)2003a:46024

Kalton, Nigel J. see Godefroy, Gilles et al., 2003c:46023Kang, Dong Sheng see Bai, Guo Zhong

Karn, Anil K. see Sinha, Deba P., 2003g:46016Kato, Mikio see Saito, Kichi-Suke, 2003m:46021

Khrabrov, A. I. Distances between spaces with unconditional bases. (English summary)2003f:46025

Kislyakov, S. V. Banach spaces and classical harmonic analysis. (English summary)2003d:46021

Kubota, Yoshihisa Stable domains of automorphisms of Banach spaces at fixed points.(English summary) 2003b:46017

Lancien, G. see Godefroy, Gilles et al., 2003c:46023Lennard, C. J. see Dowling, Patrick N. et al., 2003m:46016

Leung, Denny H. (with Tang, Wee-Kee) The l1-indices of Tsirelson type spaces. (Englishsummary) 2003i:46014

Li, Yong Jin (with Shu, Xiao Bao) K -weak convexity and K -weak smoothness. (Chinese.English and Chinese summaries) 2003m:46017

Lindenstrauss, Joram see Johnson,William B. et al., 2003h:46023Llorens Fuster, Enrique Some moduli and constants related to metric fixed point theory.

2003j:46019

see also Garcia-Falset, Jesus et al., 2003j:46017Lokesha, V. see Gowda, Huche, 2003i:46010 and 2003i:46011

Maaden, Abdelhakim On the p-drop theorem, 1≤ p ≤∞. 2003f:46026Mankiewicz, Piotr (with Szarek, Stanisław J.) On the geometry of proportional quotients

of lm1 . (English summary) 2003m:46018Marchena, B. Diagonal operators from l1w(X ) into l1a (X ). (Spanish. Spanish summary)

2003d:46022Marino, Giuseppe (with Pietramala, P.; Xu, Hong-Kun) Geometrical conditions in product

spaces. 2003g:46011Martellotti, Anna The continuity of the drop mapping. (English summary) 2003d:46023

Martın Suarez, Miguel see Finet, Catherine et al., 2003h:46021Matouskova, Eva Almost isometries of balls. (English summary) 2003b:46018

Mazcunan-Navarro, Eva Marıa On the modulus of u-convexity of Ji Gao. (Englishsummary) 2003j:46020

McManus, S. see Fry, Robb, 2003g:46009Milicic, Pavle M. On moduli of expansion of the duality mapping of smooth Banach

spaces. (English summary) 2003g:46012

Characterizations of convexities of normed spaces by means of g-angles. (Englishsummary) 2003k:46020

Misra, Gadadhar see Douglas, Ronald G., 2003c:46022Mohebi, H. (with Rezapour, Sh.) On weak compactness of the set of extensions of a

continuous linear functional. (English summary) 2003g:46013Montesinos, Alejandro see Suarez Granero, Antonio et al., 2003m:46022

Montesinos Santalucıa,Vicente see Fabian,Marian J. et al., 2003f:46021Moreno, Jose P. see Jimenez Sevilla,Mar, 2003f:46024 and Suarez Granero, Antonio et al.,

2003m:46022Nakamoto, Ritsuo (with Takahasi, Sin-Ei) Norm equality condition in triangular

inequality. (English summary) 2003b:46019Nielsen, Niels Jørgen see Casazza, Peter G., 2003k:46016Nieto, Eduardo (with Rivas, Migdalia) OnM -structure, the asymptotic-normingproperty

and locally uniformly rotund renormings. (English summary) 2003m:46019

Nygaard, Olav Some dual Tauberian embeddings. (English summary) 2003g:46014Boundedness and surjectivity in normed spaces. (English summary) 2003h:46024

Odell, Edward see Alspach, Dale, 2003b:46013Ostrovskii, M. I. Weak∗ sequential closures in Banach space theory and their applications.

(English summary) 2003g:46015Paths between Banach spaces. (English summary) 2003c:46024

Pan, Wei (with Wang, Jian Hua3) On the substitution spaces. (Chinese. English andChinese summaries) 2003c:46025

Pan, Wen Xi see Xu, Jing Shi, 2003i:46015Papini, Pier Luigi Averaging at any level. (English summary) 2003d:46019

Patterson, Joseph P. see Dilworth, S. J., 2003i:46007Paya-Albert, Rafael see Finet, Catherine et al., 2003h:46021Pietramala, P. see Marino, Giuseppe et al., 2003g:46011Plichko, Anatoliı see Suarez Granero, Antonio et al., 2003m:46022

Praetorius, Dirk Remarks and examples concerning distance ellipsoids. (English summary)2003h:46025

Preiss, David see Johnson,William B. et al., 2003h:46023Prus, Stanisław Geometrical background of metric fixed point theory. 2003m:46020

see also Kaczor, Wiesława, 2003i:46012Qiu, Jing Hui On the quasi-weak drop property. (English summary) 2003d:46024Raja, M. On dual locally uniformly rotund norms. (English summary) 2003f:46027

Rao, T. S. S. R. K. Points of weak-norm continuity in the unit ball of Banach spaces.(English summary) 2003b:46020

Rassias, Themistocles M. (with Xiang, Shu Huang) On the stability of approximateisometries. (English summary) 2003e:46022

Rezapour, Sh. see Mohebi, H., 2003g:46013Rivas, Migdalia see Nieto, Eduardo, 2003m:46019

Rodrıguez Palacios, Angel see Becerra Guerrero, Julio, 2003g:46008Romaguera, Salvador see Garcıa Raffi, L. M. et al., 2003i:46009Romance, Miguel see Bastero, Jesus, 2003b:46015Ruan, Ying-bin see Cheng, Li Xin et al., 2003d:46017Rudelson, M. (with Vershynin, R.) Embedding Levy families into Banach spaces. (English



Rychtar, Jan Uniformly Gateaux differentiable norms in spaces with unconditional basis.(English summary) 2003a:46025

Sadarangani,Kishin B. see Cabrera, I. J., 2003a:46022and Banas, Jozef, 2003m:46015

Saidi, Fathi B. Characterisations of orthogonality in certain Banach spaces. (Englishsummary) 2003a:46026

An extension of the notion of orthogonality to Banach spaces. (English summary)2003a:46027

Saito, Kichi-Suke (with Kato, Mikio) Uniform convexity of +-direct sums of Banachspaces. (English summary) 2003m:46021

SanchezPerez, Enrique A. see Garcıa Raffi, L. M. et al., 2003i:46009Schechtman,Gideon see Johnson,William B. et al., 2003h:46023Schlumprecht,Th. see Androulakis, George, 2003b:46014Shekhtman,Boris Obstacles to bounded recovery. (English summary) 2003a:46028Shu, Xiao Bao see Li, Yong Jin, 2003m:46017

Shumyatskiı, B. M. see Kadets, Vladimir M., 2003g:46010Shvidkoy, Roman see Bilik, Dmitriy et al., 2003j:46014Sinha, Deba P. (with Karn, Anil K.) Compact operators whose adjoints factor through

subspaces of lp . (English summary) 2003g:46016Sirotkin, G. G. see Bilik, Dmitriy et al., 2003j:46014Somasundaram, Sivajah A Gateaux differentiability space that is not weak Asplund.

2003j:46021

Suarez Granero, Antonio (with Jimenez Sevilla,Mar; Montesinos, Alejandro; Moreno,Jose P.; Plichko, Anatoliı) On the Kunen-Shelah properties in Banach spaces. (Englishsummary) 2003m:46022

Szarek, Stanisław J. see Mankiewicz, Piotr, 2003m:46018

Takahasi, Sin-Ei see Nakamoto, Ritsuo, 2003b:46019Tang,Wee-Kee see Leung, Denny H., 2003i:46014Tang, Yang (with Wang, Yu Wen) Criteria for proximinal subspaces in Banach spaces.

(Chinese. English and Chinese summaries)Teng, Yan Mei see Cheng, Li Xin et al., 2003d:46017Turett, B. see Dowling, Patrick N. et al., 2003m:46016

Tyszka, Apoloniusz A discrete form of the Beckman-Quarles theorem for two-dimensionalstrictly convex normed spaces. (English summary) 2003k:46021

Vaisala, Jussi A survey of nearisometries. 2003g:46017Vershynin, R. see Rudelson,M., 2003c:46026Vesely, Libor A Banach space in which all compact sets, but not all bounded sets, admit

Chebyshev centers. (English summary) 2003m:46023

Wagner, Roy Finite high-order games and an inductive approach towards Gowers’sdichotomy. (English summary) 2003e:46023

Wang, Jian Hua3 see Pan, Wei, 2003c:46025 and Fang, Xi Nian, 2003f:46022Wang, Yu Wen see Tang, Yang

Wenzel, Jorg Uniformly convex operators and martingale type. (English summary)2003f:46028

see also Hinrichs, Aicke, 2003d:46018Werner, Dirk see Bilik, Dmitriy et al., 2003j:46014Wisnicki, Andrzej Towards the fixed point property for superreflexive spaces. (English

summary) 2003j:46022Wu, Chun-xue see Cui, Yun An

Xia, Xia see Deng, Lei

Xiang, Shu Huang seeRassias, Themistocles M., 2003e:46022Xu, Hong-Kun see Marino, Giuseppe et al., 2003g:46011Xu, Jing Shi (with Pan, Wen Xi) Criteria for farthest points and the uniqueness of

diameters. (Chinese. English and Chinese summaries) 2003i:46015

Zeleny,Miroslav An example of a C 1,1 function, which is not a d.c. function. (Englishsummary) 2003d:46025

Zhang, Zi Hou K -very smoothness and K -very convexity in Banach spaces. (Chinese.English and Chinese summaries) 2003a:46029

Zhong,Huai Jie (with Cheng, Li Xin) Recent achievements on the spaces of Gowers-Maurey type. (Chinese. English and Chinese summaries) 2003f:46029

(with Chen, Jian Lan) On G-M type Banach spaces. (Chinese. English and Chinesesummaries) 2003m:46024

Zizler, Vaclav see Fabian,Marian J. et al., 2003f:46021 and 2003i:46008


Abd El-Kader, Zeinab M. see Faried, Nashat, 2003g:41040Aiena, Pietro (with Gonzalez, Manuel; Martınez-Abejon, Antonio) Operator semigroups

in Banach space theory. (Italian summary) 2003a:47134


Albius, Edmond (with Morillon, Marianne) Uniform smoothness entails Hahn-Banach.(English summary) 2003a:46012

Alimohammady,Mohsen Weak∗-norm sequentially continuous operators. (Englishsummary) 2003c:46007

Andrica, Dorin Note on an abstract approximation theorem. (English summary)2003f:41053


Arias, Alvaro Operator Hilbert spaces without the operator approximation property.(English summary) 2003e:46024

Arregui Casaus, Jose Luis (with Blasco, Oscar) (p, q)-summing sequences. (Englishsummary) 2003i:46018

Arutyunyan,F. G. see Khachatryan,R. A., 2003e:49030Azagra, Daniel (with Jimenez Sevilla,Mar) On the size of the sets of gradients of bump

functions and starlike bodies on the Hilbert space. (English summary) 2003k:46056

Balaganskiı, V. S. Necessary conditions for the differentiability of the distance function.(Russian. Russian summary) 2003m:41056

Ball, Keith Convex geometry and functional analysis. 2003c:52001

Barcenas, Diomedes (with Echandıa, Ventura) On non-reflexive subspaces of Orlicz spaces.(English summary) 2003b:46035

Bastero, Jesus (with Romance, Miguel) John’s decomposition of the identity in the non-convex case. (English summary) 2003a:52003

Becerra Guerrero, Julio (with Rodrıguez Palacios, Angel; Wood, Geoffrey V.) Banachspaces whose algebras of operators are unitary: a holomorphic approach. (Englishsummary) 2003j:46026

Bedouhene, F. see Morsli, M. et al., 2003h:42014Behrends, Ehrhard (with Kadets, VladimirM.) Metric spaces with the small ball property.


Benıtez, Carlos (with Fernandez Garcıa-Hierro,Manuel; Soriano, Marıa L.) Weighted p-centers and the convex hull property. (English summary) 2003a:90023

(with Fernandez Garcıa-Hierro, Manuel; Soriano, Marıa L.) Location of the Fermat-Torricelli medians of three points. (English summary) 2003h:46032

Benoist, Joel (with Popovici, Nicolae) Characterizations of finite-dimensional shaded sets.(English summary) 2003m:90110

Blasco, Oscar A note on the boundedness of operators on weighted Bergman spaces.(English summary) 2003b:46047

(with Signes, T.) q-concavity and related properties on symmetric sequence spaces.(English summary) 2003j:46024

see also Arregui Casaus, Jose Luis, 2003i:46018Borwein, JonathanM. (with Fabian, Marian J.; Loewen, P. D.) The range of the gradient

of a Lipschitz C 1-smooth bump in infinite dimensions. (English summary) 2003j:58011Boulahia, F. see Morsli, M. et al., 2003h:42014Bunce, Leslie J. (with Sheppard, B.) Weak limits of the extreme dual ball in JB∗-triples.


(with Peralta, Antonio M.) The alternativeDunford-Pettis property in C ∗-algebras andvon Neumann preduals. (English summary) 2003m:46086

Cabello Sanchez,Felix The covering dimension of Wood spaces. (English summary)2003f:54029

Caruso, Andrea Orazio A short remark on Kolmogoroff normability theorem. (Englishsummary) 2003m:46006

Castillo, Jesus M. Fdez. see Argyros, Spiros A. et al., 2003k:46022Cepedello Boiso, Manuel Two characterizations of super-reflexiveBanach spaces by the

behaviour of differences of convex functions. (English summary) 2003e:46014Chakraborty, N. D. see Jaker Ali, Sk., 2003h:46026Chalmers, Bruce L. (with Shekhtman, Boris) On minimal, almost locally minimal, and

orthogonal minimal projections. (English summary) (see 2003e:41001)Chen, Ping Yan (with Liu, Jing Jun; Gan, Shi Xin) Convergence for B-valued random

fields and the type of Banach spaces. (Chinese. English and Chinese summaries)2003d:60009

Chen, Shu Tao (with Cui, Yun An; Hudzik, Henryk; Wang, Ting Fu) On some solved andunsolved problems in geometry of certain classes of Banach function spaces. (Englishsummary) 2003e:46034

(with Płuciennik, R.) A note onH -points in Kothe-Bochner spaces. (English summary)2003d:46046(with Hu, Chang Ying; Zhao, Charles Xuejin) Extreme points and rotundity of Orlicz-Sobolev spaces. (English summary) 2003i:46031

Crasmareanu, Mircea (with Dragomir, Sever Silvestru) 2k-inner products in real linearspaces. (English summary) 2003h:46033

Cui, Yun An (with Hudzik, Henryk) Orlicz spaces which are noncreasy. (Englishsummary) 2003c:46040see also Chen, Shu Tao et al., 2003e:46034 and Li, Xinghua, 2003m:46044

Daniilidis, Aris (with Martınez-Legaz, Juan-Enrique) Characterizations of evenly convexsets and evenly quasiconvex functions. (English summary) 2003j:90038

De Blasi, Francesco S. (with Zhivkov, N. V.) The number of nearest and farthest points toa compactum in Euclidean space. (English summary) 2003e:41052

Defant, Andreas (with Maestre, Manuel; Sevilla-Peris, Pablo) Cotype 2 estimates forspaces of polynomials on sequence spaces. (English summary) 2003h:46067

(with Mastyło, Mieczysław;Michels, Carsten) Orlicz norm estimates for eigenvalues ofmatrices. (English summary) 2003j:47022

Deshpande, Bhavana see Sharma, Sushil, 2003a:47116Deville, Robert (with Ghoussoub, Nassif) Perturbed minimization principles and

applications. (English summary) 2003b:49012Dhompongsa, S. see Saejung, S., 2003j:46029Dineen, Sean Extreme integral polynomials on a complex Banach space. (English


Dobrowolski, Tadeusz Weak bump functions and applications. (English summary)2003j:46121

Domınguez Benavides, Tomas (with Japon Pineda, Maria A.; Lopez Acedo, Genaro)Metric fixed point results concerning measures of noncompactness. 2003e:47095

Dragomir, Sever Silvestru see Crasmareanu, Mircea, 2003h:46033Echandıa, Ventura see Barcenas, Diomedes, 2003b:46035Enflo, Per (with Lomonosov, V.) Some aspects of the invariant subspace problem.

2003g:47011

Fabian, Marian J. (with Montesinos Santalucıa, Vicente; Zizler, Vaclav) Pointwisesemicontinuous smooth norms. (English summary) 2003g:46019

see also Borwein, JonathanM. et al., 2003j:58011Faried, Nashat (with Abd El-Kader, Zeinab M.) Some type of rotational scheme. (English


FernandezGarcıa-Hierro, Manuel see Benıtez, Carlos et al., 2003a:90023 and 2003h:46032Ferrando, Juan Carlos (with Lopez Pellicer, M.) Complemented copies of c0 in C0(Ω).

(English and Spanish summaries) 2003e:46033Galego, Eloi Medina On solutions to the Schroeder-Bernstein problem for Banach spaces.

(English summary) 2003k:46009Banach spaces complemented in each other without isomorphic finite sums. (Englishsummary) 2003c:46015On subspaces and quotients of Banach spaces C (K,X ). (English summary)2003g:46038

Gamelin, T. W. (with Kislyakov, S. V.) Uniform algebras as Banach spaces. (Englishsummary) 2003b:46065

Gan, Shi Xin see Chen, Ping Yan et al., 2003d:60009


Garcıa-Cuerva, Jose (with Parcet, Javier) Quantized orthonormal systems: a non-commutativeKwapien theorem. (English summary) 2003m:46089

Ghoussoub, Nassif see Deville, Robert, 2003b:49012Godefroy, Gilles (with Indumathi, V.; Lust-Piquard, F.) Strong subdifferentiability of

convex functionals and proximinality. (English summary) 2003d:41034

Gok, Omer A result on strictly separating functionals. (English summary) 2003b:47106Gonzalez,Manuel (with Herrera, Jose M.) Operators on quotient indecomposable spaces.

(English summary) 2003c:47022

see also Aiena, Pietro et al., 2003a:47134Grecu, Bogdan C. Geometry of 2-homogeneous polynomials on lp spaces, 1< p<∞.


Extreme 2-homogeneous polynomials on Hilbert spaces. (English summary)2003j:46065

Guerrini, Luca (with Papini, Pier Luigi) Rigid sets. (English summary) 2003i:54035

Gutman, A. E. (with Ryabko, D. B.) A completeness criterion for the nonstandard hull of anormed space in a Boolean-valued universe. (Russian)

Hagler, J. Complemented isometric copies of L1 in dual Banach spaces. (Englishsummary) 2003g:46005

Han, Jing (with Li, Xiu Lin2) Exact value of the sphere-packing constant in a class ofOrlicz function spaces. (Chinese. English and Chinese summaries) 2003j:46032

Hashimoto, Kazuo1 see Kato, Mikio et al., (2003a:00030)He, Jin Su see Luo, Xian Fa et al., 2003g:41024Hedayatian,K. A remark on norms onMn(A ). (English summary) 2003e:46104

Herrera, Jose M. see Gonzalez,Manuel, 2003c:47022Hirzallah,Omar (with Kittaneh, Fuad) Non-commutative Clarkson inequalities for

unitarily invariant norms. (English summary) 2003a:47020Horvat-Marc, Andrei Retraction methods in fixed point theory. (English summary)

2003h:47100

Hu, Chang Ying see Chen, Shu Tao et al., 2003i:46031Hudzik,Henryk (with Liu, Xin Bo; Wang, Ting Fu) Points of monotonicity in Musielak-

Orlicz function spaces endowed with the Orlicz norm. (English summary) 2003d:46033

see also Cui, Yun An, 2003c:46040 and Chen, Shu Tao et al., 2003e:46034Hussein, Deeb seeKhandaqji,M. et al., 2003m:46042

Indumathi, V. see Godefroy, Gilles et al., 2003d:41034Iovino, Jose On the maximality of logics with approximations. 2003a:03042

Jaker Ali, Sk. (with Chakraborty, N. D.) Weak Radon-Nikodym property in a Banachspace associated with a compact metrizable abelian group. 2003h:46026

Japon Pineda, Maria A. Some fixed point results on L-embedded Banach spaces. (Englishsummary) 2003j:47072

see also Domınguez Benavides, Tomas et al., 2003e:47095Jimenez Sevilla,Mar see Argyros, Spiros A. et al., 2003k:46022 and Azagra, Daniel,

2003k:46056Jimenez-Vargas, A. (with Mena-Jurado, J. F.; Navarro-Pascual, J. C.) Lipschitz mappings

on the unit sphere of an infinite-dimensional normed space. (English summary)2003k:47092

Johnson,William B. (with Lindenstrauss, Joram; Preiss, David; Schechtman, Gideon)Almost Frechet differentiability of Lipschitz mappings between infinite-dimensionalBanach spaces. 2003a:46064

Junge,Marius On cotype and summing properties in Banach spaces. (English summary)2003j:47025

Kaczor, Wiesława Weak convergence of almost orbits of asymptotically nonexpansivecommutative semigroups. (English summary) 2003h:47094

Kadets, Vladimir M. see Behrends, Ehrhard, 2003b:54032Kalton, Nigel J. (with Lancien, G.) Lp-maximal regularity on Banach spaces with a

Schauder basis. (English summary) 2003b:34123Kato, Mikio (with Takahashi, Yasuji; Hashimoto, Kazuo1) On some generalizations of q-

uniform convexity inequalities. (English summary) (see 2003a:00030)Khachatryan,R. A. (with Arutyunyan, F. G.) Intersection of tents in infinite dimensional

spaces. (English summary) 2003e:49030

Khalil, Roshdi see Khandaqji,M. et al., 2003m:46042

Khandaqji,M. (with Khalil, Roshdi; Hussein, Deeb) Proximinality in Orlicz-Bochnerfunction spaces. (English summary) 2003m:46042

Kim, SungGuen There are no denting points in the unit ball of P (2H ). (English summary)2003k:46065

(Kirk, William A.) see Handbook:Metric fixed point theory, 2003b:47002Kislyakov, S. V. see Gamelin, T. W., 2003b:46065Kittaneh,Fuad see Hirzallah,Omar, 2003a:47020Kohlenbach,Ulrich On the computational content of the Krasnoselski and Ishikawa fixed

point theorems. (English summary) 2003b:47090

Kolwicz, Paweł Orthogonal uniform convexity in Kothe spaces and Orlicz spaces. (Englishsummary) 2003i:46029

Uniform Kadec-Klee property and nearly uniform convexity in Kothe-Bochner sequencespaces. (English and Italian summaries) 2003j:46025

Kvaratskheliya,V. V. see Vakhaniya,Nikolaı Nikolaevich, 2003k:46013Lancien, G. see Kalton, Nigel J., 2003b:34123Leranoz, C. see Albiac, F., 2003j:46005Li, Chong1 (with Ni, Ren Xing; Watson, G. Alistair) On nonlinear coapproximation in

Banach spaces. (English summary) 2003a:41035

On well posedness of best simultaneous approximation problems in Banach spaces.(English summary) 2003c:41023

(with Ni, Ren Xing) Derivatives of generalized distance functions and existence ofgeneralized nearest points. (English summary) 2003k:41047see also Luo, Xian Fa et al., 2003g:41024

Li, Xinghua (with Cui, Yun An) Compact midpoint local uniform convexity in Orliczspaces. (English summary) 2003m:46044

Li, Xiu Lin2 see Han, Jing, 2003j:46032Lindenstrauss, Joram see Johnson,William B. et al., 2003a:46064Linial, Nathan (with Saks, Michael) The Euclidean distortion of complete binary trees.

(English summary) 2003i:54036

Liu, Hong-yu (with Liu, Xin Bo; Wang, Ting Fu) MBSP and CBSP of Orlicz functional

spaces. (English and Chinese summaries) 2003d:46035

Liu, Jing Jun see Chen, Ping Yan et al., 2003d:60009Liu, Xin Bo see Hudzik, Henryk et al., 2003d:46033 and Liu, Hong-yu et al., 2003d:46035Loewen, P. D. see Borwein, JonathanM. et al., 2003j:58011Lokot′, V. V. Constants of strong uniqueness of minimal projections onto hyperplanes in

the space ln∞ (n ≥ 3). (Russian. Russian summary) 2003k:41041Lomonosov, V. see Enflo, Per, 2003g:47011Lopez Acedo, Genaro see Domınguez Benavides,Tomas et al., 2003e:47095Lopez Pellicer, M. (with Montesinos Santalucıa, Vicente) Some remarks on l1-sequences.

(English summary) 2003h:46014see also Ferrando, Juan Carlos, 2003e:46033

Luo, Xian Fa (with He, Jin Su; Li, Chong1) On best simultaneous approximation fromsuns to an infinite sequence in Banach spaces. (Chinese. English and Chinese summaries)2003g:41024

Lust-Piquard, F. seeGodefroy, Gilles et al., 2003d:41034Maestre, Manuel see Defant, Andreas et al., 2003h:46067Martınez-Abejon,Antonio see Aiena, Pietro et al., 2003a:47134Martınez-Legaz, Juan-Enrique see Daniilidis, Aris, 2003j:90038Martın Suarez, Miguel Numerical index and subspaces. (Spanish. Spanish summary)

2003b:47010Mastyło, Mieczysław see Defant, Andreas et al., 2003j:47022Mena-Jurado, J. F. see Jimenez-Vargas, A. et al., 2003k:47092Michels, Carsten see Defant, Andreas et al., 2003j:47022Milicic, Pavle M. On the g-orthogonal projection and the best approximation of a vector in

a quasi-inner product spaces. (English summary) 2003a:46039

Montesinos Santalucıa,Vicente see Fabian, Marian J. et al., 2003g:46019 and LopezPellicer, M., 2003h:46014

Moreno, Jose P. see Argyros, Spiros A. et al., 2003k:46022Morillon, Marianne see Albius, Edmond, 2003a:46012Morsli, M. (with Bedouhene, F.; Boulahia, F.) Duality properties and Riesz representation

theorem in the Besicovitch-Orlicz space of almost periodic functions. (English summary)2003h:42014

Mustata, Costica Some remarks concerning norm preserving. Extensions and bestapproximation. (English summary) 2003g:41057

Nakamoto, Ritsuo (with Takahasi, Sin-Ei) On the equality condition of the triangleinequality for norms. (Japanese)

Naor, Assaf (with Schechtman, Gideon) Remarks on non linear type and Pisier’sinequality. (English summary) 2003j:46010

Narang, T. D. see Sharma, Meenu, 2003b:41029Navarro-Pascual, J. C. see Jimenez-Vargas, A. et al., 2003k:47092Ng, Kung Fu (with Zheng, Xi Yin) Existence of efficient points in vector optimization and

generalized Bishop-Phelps theorem. (English summary) 2003i:90075

Ni, Ren Xing Coapproximation in linear spaces. (Chinese. English and Chinese summaries)Existence of generalized nearest points. (English summary) 2003k:41049

see also Li, Chong1 et al., 2003a:41035 and 2003k:41047

Papini, Pier Luigi see Guerrini, Luca, 2003i:54035Parcet, Javier see Garcıa-Cuerva, Jose, 2003m:46089

Paya-Albert, Rafael (with Saleh, Yousef) New sufficient conditions for the denseness ofnorm attaining multilinear forms. (English summary) 2003a:46033

Pelczar, Anna Maria Subsymmetric sequences and minimal spaces. (English summary)2003j:46012

Peralta, AntonioM. see Bunce, Leslie J., 2003m:46086Pfitzner, Hermann Perturbation of l1-copies and measure convergence in preduals of von

Neumann algebras. (English summary) 2003e:46109

Płuciennik, R. see Chen, Shu Tao, 2003d:46046Popovici, Nicolae see Benoist, Joel, 2003m:90110Preiss, David see Johnson,William B. et al., 2003a:46064Randrianantoanina,Beata A note on the Banach-Mazur problem. (English summary)

2003a:46038

Randrianantoanina,Narcisse Banach spaces with complete continuity properties. (Englishsummary) 2003a:46056

Rao, MalempatiMadhusudana (with Ren, Z. D.) Applications of Orlicz spaces.2003e:46041

Rao, T. S. S. R. K. Chebyshev centres and centrable sets. (English summary) 2003a:41037

Reich, Simeon (with Zaslavski, Alexander J.) Well-posedness and porosity in bestapproximation problems. (English summary) 2003h:49047

Ren, Z. D. see Rao, MalempatiMadhusudana,2003e:46041Robbins, D. A. Some extremal properties of section spaces of Banach bundles and their

duals. (English summary) 2003b:46049Rodrıguez Palacios, Angel see Becerra Guerrero, Julio et al., 2003j:46026Romance, Miguel see Bastero, Jesus, 2003a:52003Runde, Volker Banach space properties forcing a reflexive, amenable Banach algebra to be

trivial. (English summary) 2003c:46061Ryabko, D. B. see Gutman, A. E.

Saejung, S. (with Dhompongsa, S.) Extreme points in Musielak-Orlicz sequence spaces.(English summary) 2003j:46029

Saks, Michael see Linial, Nathan, 2003i:54036Saleh, Yousef see Paya-Albert, Rafael, 2003a:46033Sandberg, Irwin W. A partial converse to Hadamard’s theorem on homeomorphisms.

(English summary) 2003d:47012

Schechtman, Gideon see Johnson, William B. et al., 2003a:46064 and Naor, Assaf,2003j:46010

Sevilla-Peris, Pablo see Defant, Andreas et al., 2003h:46067Sharma, Meenu (with Narang, T. D.) On ε-Birkhoff orthogonality and ε-near best

approximation. (English summary) 2003b:41029Sharma, Sushil (with Deshpande, Bhavana) Fixed point theorem and its application to

best approximation theory. (English summary) 2003a:47116Shekhtman, Boris On interpolation by and Banach spaces of polynomials. (English

summary) 2003m:41059see also Chalmers, Bruce L., (2003e:41001)


Sheppard,B. see Bunce, Leslie J., 2003f:46112Shi, Feng1 Property (U ) in Lp(,X ). (Chinese. English and Chinese summaries)

2003d:46048

Signes, T. see Blasco, Oscar, 2003j:46024Sims, Brailey Examples of fixed point free mappings. 2003f:47099

see also Handbook:Metric fixed point theory, 2003b:47002Soriano,Marıa L. see Benıtez, Carlos et al., 2003a:90023 and 2003h:46032Suarez Granero, Antonio see Argyros, Spiros A. et al., 2003k:46022Takahashi,Wataru Totsu kaiseki to fudoten kinji. (Japanese) [Convex analysis &

approximation of fixed points] 2003a:49003

Takahashi, Yasuji see Kato, Mikio et al., (2003a:00030)Takahasi, Sin-Ei see Nakamoto, RitsuoVakhaniya,Nikolaı Nikolaevich (with Kvaratskheliya, V. V.) An application of the Brunel-

Sucheston spreading model. (English and Georgian summaries) 2003k:46013Valdivia,Manuel Linear extension operators and applications. (Spanish) 2003e:46118

Weak-star compact subsets in the bidual of a Banach space. (English summary)2003a:46036

Vath,Martin On the minimal displacement problem of -Lipschitz maps and -Lipschitzretractions onto the sphere. (English summary) 2003m:47101

Vesely, Libor Chebyshev centers in hyperplanes of c0. (English summary) 2003h:41044


Wang, Ting Fu see Hudzik, Henryk et al., 2003d:46033;Liu, Hong-yu et al., 2003d:46035and Chen, Shu Tao et al., 2003e:46034

Watson, G. Alistair see Li, Chong1 et al., 2003a:41035Wisła, Marek Closedness of the set of extreme points in Orlicz spaces with Orlicz norm.

(English summary) 2003d:46036Wisnicki, Andrzej Products of uniformly noncreasy spaces. (English summary)

2003f:47101Wood,Geoffrey V. see Becerra Guerrero, Julio et al., 2003j:46026Wu, Zi Li2 A Chebyshev set and its distance function. (English summary) 2003i:41046

Yan, Ya Qiang On the nonsquare constants of Orlicz spaces with Orlicz norm. (Englishsummary) 2003j:46035

Zalinescu,C. Convex analysis in general vector spaces. (English summary) 2003k:49003Zaslavski, Alexander J. see Reich, Simeon, 2003h:49047Zhao, Charles Xuejin see Chen, Shu Tao et al., 2003i:46031Zheng, Xi Yin Error bounds for convex multifunctions in normed spaces. (English and

Chinese summaries)see also Ng, Kung Fu, 2003i:90075

Zhivkov, N. V. see De Blasi, Francesco S., 2003e:41052Zippin,M. The space of differences of convex functions on [0, 1]. (English summary)

2003b:46027

Zizler, Vaclav see Fabian,Marian J. et al., 2003g:46019Zsak, Andras A Banach space whose operator algebra has K0-group Q. 2003c:46084


Handbook:

Metric fixed point theory Handbook of metric fixed point theory. 2003b:47002

46B22 Radon-Nikodym, Kreın-Milman and related properties[see also 46G10]

Bu, ShangQuan (with Chill, Ralph) Banach spaces with the Riemann-Lebesgue or theanalytic Riemann-Lebesgue property. (English summary) 2003c:46027

Chakraborty, N. D. see Jaker Ali, Sk., 2003h:46026Chill, Ralph see Bu, ShangQuan, 2003c:46027Giles, J. R. A subdifferential characterisation of Banach spaces with the Radon-Nikodym

property. (English summary) 2003g:46018

Jaker Ali, Sk. (with Chakraborty, N. D.) Weak Radon-Nikodym property in a Banachspace associated with a compact metrizable abelian group. 2003h:46026

Zemek, Martin Asplund functions and the projectional resolutions of the identity. (Englishsummary) 2003a:46030


Arvanitakis, AlexanderD. Some remarks on Radon-Nikodym compact spaces. (Englishsummary) 2003c:54069


Brink, H. E. (with Maritz, P.) Integration of multifunctions with respect to a multimea-sure. (English summary) 2003f:28025

Bu, Qing Ying (with Dowling, Patrick N.) Observations about the projective tensorproduct of Banach spaces. III. Lp[0, 1]⊗X, 1< p <∞. (English summary) 2003i:46016

Dineen, Sean see Boyd, Christopher et al., 2003k:46062Dowling, Patrick N. see Bu, Qing Ying, 2003i:46016Lopez Pellicer, M. (with Montesinos Santalucıa, Vicente) Cantor sets in the dual of a

separable Banach space. Applications. (English summary) 2003e:46015

Maritz, P. see Brink, H. E., 2003f:28025Montesinos Santalucıa,Vicente see Lopez Pellicer, M., 2003e:46015Randrianantoanina,Narcisse Banach spaces with complete continuity properties. (English

summary) 2003a:46056Rueda,Maria Pilar see Boyd, Christopher et al., 2003k:46062

46B25 Classical Banach spaces in the general theory


Belinskiı, E. S. Entropy numbers of vector-valued diagonal operators. (English summary)2003e:41040

Cheng, Raymond (with Miamee, A. G.; Pourahmadi, Mohsen) On the geometry of Lp()with applications to infinite variance processes. (English summary) 2003m:60103

Dutta, Tarini Kumar (with Nath, H. K.; Sarmah, H. K.) Compact Hermitian operators onprojective tensor products of Banach algebras. (English summary) 2003c:47039

Farmaki, Vassiliki Ordinal indices and Ramsey dichotomies measuring c0-content andsemibounded completeness. (English summary) 2003b:46010

Godefroy, Gilles (with Kalton, Nigel J.; Lancien, G.) Szlenk indices and uniformhomeomorphisms. (English summary) 2003c:46023

Kalton, Nigel J. see Godefroy, Gilles et al., 2003c:46023Lancien, G. see Godefroy, Gilles et al., 2003c:46023Miamee, A. G. see Cheng, Raymond et al., 2003m:60103

Nath, H. K. see Dutta, Tarini Kumar et al., 2003c:47039Nygaard, Olav Boundedness and surjectivity in normed spaces. (English summary)

2003h:46024

Pourahmadi, Mohsen seeCheng, Raymond et al., 2003m:60103

Saidi, Fathi B. Explicit characterizations of orthogonality in lpS (C). (English summary)

2003h:46027

Sarmah, H. K. see Dutta, Tarini Kumar et al., 2003c:47039Shekhtman, Boris Obstacles to bounded recovery. (English summary) 2003a:46028

Vesely, Libor A Banach space in which all compact sets, but not all bounded sets, admitChebyshev centers. (English summary) 2003m:46023

46B26 Nonseparable Banach spaces


Castillo, Jesus M. Fdez. Wheeling around Sobczyk’s theorem. (English summary)2003d:46026a

see also Argyros, Spiros A. et al., 2003k:46022Jimenez Sevilla,Mar see Argyros, Spiros A. et al., 2003k:46022Moreno, Jose P. see Argyros, Spiros A. et al., 2003k:46022Plichko, Anatoliı Examples of n-Sobczyk spaces. (English summary) 2003d:46026b

Suarez Granero, Antonio see Argyros, Spiros A. et al., 2003k:46022Wark, H. M. A non-separable reflexive Banach space on which there are few operators.

(English summary) 2003a:46031


Fry, Robb (with McManus, S.) Smooth bump functions and the geometry of Banachspaces: a brief survey. (English summary) 2003g:46009

Jimenez Sevilla,Mar see Suarez Granero, Antonio et al., 2003h:46018 and 2003m:46022

Johnson,William B. (with Lindenstrauss, Joram; Preiss, David; Schechtman, Gideon)Lipschitz quotients from metric trees and from Banach spaces containing l1. (Englishsummary) 2003h:46023

Kalenda, Ondrej F. K. Note on Markushevich bases in subspaces and quotients of Banachspaces. (English summary) 2003e:46017

M -bases in spaces of continuous functions on ordinals. (English summary) 2003b:46012

Lindenstrauss, Joram see Johnson,William B. et al., 2003h:46023Lopez Pellicer, M. (with Montesinos Santalucıa, Vicente) Cantor sets in the dual of a

separable Banach space. Applications. (English summary) 2003e:46015

McManus, S. see Fry, Robb, 2003g:46009Montesinos, Alejandro see Suarez Granero, Antonio et al., 2003m:46022

Montesinos Santalucıa,Vicente see Lopez Pellicer, M., 2003e:46015Moreno, Jose P. see Suarez Granero, Antonio et al., 2003h:46018 and 2003m:46022

Plichko, Anatoliı see Suarez Granero, Antonio et al., 2003m:46022

Preiss, David see Johnson,William B. et al., 2003h:46023Rychtar, Jan Uniformly Gateaux differentiable norms in spaces with unconditional basis.


Schechtman, Gideon see Johnson,William B. et al., 2003h:46023Suarez Granero, Antonio (with Jimenez Sevilla,Mar; Moreno, Jose P.) On -independence

and the Kunen-Shelah property. (English summary) 2003h:46018

(with Jimenez Sevilla,Mar; Montesinos, Alejandro; Moreno, Jose P.; Plichko, Anatoliı)On the Kunen-Shelah properties in Banach spaces. (English summary) 2003m:46022


46B28 Spaces of operators; tensor products; approximationproperties [see also 46A32, 46M05, 47L05, 47L20]

Antonescu, Cristina Some interpolation results for the completely bounded operators.(English summary) 2003m:46025


Bator, Elizabeth M. (with Slavens, Dawn R.) Applications of a decomposition in X ⊗ Y .(English summary) 2003a:46032

Bu, Qing Ying Observations about the projective tensor product of Banach spaces. II.Lp(0, 1)⊗X, 1< p<∞. (English summary) 2003e:46025

(with Dowling, Patrick N.) Observations about the projective tensor product of Banachspaces. III. Lp[0, 1]⊗X, 1< p<∞. (English summary) 2003i:46016

A new proof of l1∨⊗X ⊆ c0

∧⊗X . (English summary) 2003b:46021

Dowling, Patrick N. see Bu, Qing Ying, 2003i:46016Gok, Omer An algebraically reflexive representation result of the second dual of C (K).


Kato, Mikio see Takahashi, Yasuji

Le Merdy, Christian (with Mezrag, Lahcene) Caracterisation des espaces 1-matriciellementnormes. (English summary) [Characterization of 1-matricially normed spaces]2003m:46026

Melendez, Y. (with Tonge, A.) Polynomials and the Pietsch domination theorem. (Englishsummary) 2003e:46026

Mezrag, Lahcene see Le Merdy, Christian, 2003m:46026


Nourouzi, Kourosh Strongly exposed points in the unit ball of trace-class operators.(English summary) 2003c:46028

Paya-Albert, Rafael (with Saleh, Yousef) New sufficient conditions for the denseness ofnorm attaining multilinear forms. (English summary) 2003a:46033

Reinov,O. I. How bad can a Banach space with approximation property be? II. (Englishsummary) 2003m:46027

Ryan, Raymond A. Introduction to tensor products of Banach spaces. (Englishsummary) 2003f:46030

Saleh, Yousef see Paya-Albert, Rafael, 2003a:46033Slavens,Dawn R. see Bator, ElizabethM., 2003a:46032Takahashi, Yasuji (with Kato, Mikio) On tensor matrices and norm inequalities. (Japanese.

English summary)Tonge, A. see Melendez,Y., 2003e:46026Venkova, M. Properties of Q-reflexive Banach spaces. (English summary) 2003a:46034


Androulakis,George (with Schlumprecht, Th.) Strictly singular, non-compact operatorsexist on the space of Gowers and Maurey. (English summary) 2003b:46014

Antonescu,Cristina On tensor product stability of some operator ideals. (Englishsummary) 2003e:47118

Aqzzouz,Belmesnaoui The εC -product of a Schwartz b-space by a quotient Banach spaceand applications. (English summary) 2003m:46106

Aron, Richard M. (with Garcıa, Domingo; Maestre, Manuel) On norm attainingpolynomials. (English summary) 2003h:46066

Barraa, Mohamed Convexoid and generalized derivations. (English summary)2003c:47066

Blasco, Oscar (with Gregori, Pablo;Calabuig, Jose M.) Finite semivariation and regulatedfunctions by means of bilinear maps. (English summary) 2003d:26010

Bombal, Fernando (with Villanueva Dıez, Ignacio) Integral operators on the product ofC (K) spaces. (English summary) 2003e:47106

Bu, Qing Ying A characterization of adjoint 1-summing operators. 2003f:47034

Calabuig, Jose M. see Blasco, Oscar et al., 2003d:26010Castaneda,G. (with Lopez Molina, J. A.; Rivera Ortun, Marıa Jose) New tensor norms

and operator ideals associated to interpolation spaces between sequence spaces. (Englishsummary) 2003f:46005

Cilia, Raffaella (with D’Anna, Maria; Gutierrez del Alamo, Joaquın M.) Polynomialcharacterization ofL∞-spaces. (English summary) 2003j:46015

D’Anna, Maria see Cilia, Raffaella et al., 2003j:46015Defant, Andreas (with Maestre, Manuel; Sevilla-Peris, Pablo) Cotype 2 estimates for

spaces of polynomials on sequence spaces. (English summary) 2003h:46067

Diestel, Joe (with Jarchow, Hans; Pietsch, Albrecht) Operator ideals. 2003h:47137

(with Fourie, Jan H.; Swart, Johan1) The metric theory of tensor products (Grothen-dieck’s resume revisited). I. Tensor norms. (English summary) 2003j:46112a

(with Fourie, Jan H.; Swart, Johan1) The metric theory of tensor products (Grothen-dieck’s resume revisited). II. Bilinear forms and linear operators of type α. (English sum-mary) 2003j:46112b

(with Fourie, Jan H.; Swart, Johan1) The metric theory of tensor products (Grothen-dieck’s resume revisited). III. Vector sequence spaces. (English summary) 2003j:46112c

(with Fourie, Jan H.; Swart, Johan1) The metric theory of tensor products (Grothen-dieck’s resume revisited). IV. The role of C (K)-spaces and L1-spaces. (English summary)2003j:46112d

Du, Hong Ke see Zhang, Jian Hua4, 2003f:47122Fernandez-Unzueta,Maite A new approach to unconditionality for polynomials on Banach

spaces. (English summary) 2003i:46042

Ferrera Cuesta, Juan Norm-attaining polynomials and differentiability. (English summary)2003c:46058

Fourie, Jan H. (with Rontgen, Ilse M.) Banach space sequences and projective tensorproducts. (English summary) 2003m:46031

see also Diestel, Joe et al., 2003j:46112a;2003j:46112b;2003j:46112cand 2003j:46112d

Garcıa, Domingo see Aron, Richard M. et al., 2003h:46066Garcıa-Cuerva, Jose (with Parcet, Javier) Quantized orthonormal systems: a non-


Gregori, Pablo see Blasco, Oscar et al., 2003d:26010Gutierrez del Alamo, JoaquınM. see Cilia, Raffaella et al., 2003j:46015Jarchow, Hans see Diestel, Joe et al., 2003h:47137Karn, Anil K. see Sinha, Deba P., 2003g:46016

Kislyakov, S. V. Banach spaces and classical harmonic analysis. (English summary)2003d:46021

Konig,Hermann Eigenvalues of operators and applications. 2003f:47035

Lopez Molina, J. A. see Castaneda,G. et al., 2003f:46005Maestre, Manuel see Aron, Richard M. et al., 2003h:46066 and Defant, Andreas et al.,

2003h:46067

Oertel, Frank Extension of finite rank operators and operator ideals with the property (I).(English summary) 2003h:46031

Parcet, Javier see Garcıa-Cuerva, Jose, 2003m:46089

Park, Chun-Gil On the stability of the linear mapping in Banach modules. (Englishsummary) 2003i:46045

Pietsch, Albrecht see Diestel, Joe et al., 2003h:47137Reinov,O. I. Approximation properties and some classes of operators. (English summary)

2003i:47017

Ricard, Eric A tensor norm for Q-spaces. (English summary) 2003j:46084

Rivera Ortun, Marıa Jose see Castaneda,G. et al., 2003f:46005Rontgen, Ilse M. see Fourie, Jan H., 2003m:46031

Schlumprecht,Th. see Androulakis, George, 2003b:46014Sevilla-Peris,Pablo see Defant, Andreas et al., 2003h:46067Sinha, Deba P. (with Karn, Anil K.) Compact operators whose adjoints factor through

subspaces of lp . (English summary) 2003g:46016

Swart, Johan1 see Diestel, Joe et al., 2003j:46112a; 2003j:46112b; 2003j:46112cand2003j:46112d

Tabor, Jacek (with Yost, David Thomas) Applications of inverse limits to extensions ofoperators and approximation of Lipschitz functions. (English summary) 2003j:41032

Tian, Chang An (with Yang, Chang Sen) The entropy of an isomorphism between two n-dimensional Banach spaces. (Chinese. English and Chinese summaries)

Villanueva Dıez, Ignacio Representation of multilinear operators on C (K,X ) spaces.(English and Spanish summaries) 2003e:46053see also Bombal, Fernando, 2003e:47106

Vıta, Luminita Embedding a linear subset ofB(H ) in the dual of its predual. (Englishsummary) 2003b:47112

Yang, Chang Sen see Tian, Chang An

Yost, David Thomas see Tabor, Jacek, 2003j:41032Zhang, Jian Hua4 (with Du, Hong Ke) Perturbations of nest subalgebras in von Neumann

algebras. (Chinese. English and Chinese summaries) 2003f:47122

46B40 Ordered normed spaces [see also 46A40, 46B42]




Kutateladze,S. S. see Kusraev, A. G., (2003f:46001)Mouton,H. du T. (with Mouton, S.) Domination properties in ordered Banach algebras.

(English summary) 2003e:46076

Mouton, S. see Mouton,H. du T., 2003e:46076Pumplun, Dieter The metric completion of convex sets and modules. (English summary)

2003f:52001Rubinov, Aleksandr M. (with Zaslavski, Alexander J.) Two porosity results in monotonic

analysis. (English summary) 2003g:49039

Zaslavski, Alexander J. see Rubinov, Aleksandr M., 2003g:49039Zhang, Xiao Dong3 An extension theorem for sequentially smooth functionals and

extension theorems for measures. (English summary) 2003a:46015

46B42 Banach lattices [see also 46A40, 46B40]

Cao, Ji Ling (with Reilly, Ivan L.; Xiong, Hong Yun) A lattice-valuedBanach-Stonetheorem. (English summary) 2003m:46028


Cobos, Fernando (with Pustylnik, Evgenii) On strictly singular and strictly cosingularembeddings between Banach lattices of functions. (English summary) 2003f:46032

Cui, Yun An see Chen, Shu Tao et al., 2003f:46031Dilworth, S. J. Special Banach lattices and their applications. 2003d:46027Flores, Julio A note on regular isomorphisms between L2-spaces. (English summary)

2003j:46023Hudzik, Henryk see Chen, Shu Tao et al., 2003f:46031Kaminska, Anna (with Mastyło, Mieczysław) The Schur and (weak) Dunford-Pettis

properties in Banach lattices. (English summary) 2003e:46027


Mastyło, Mieczysław see Kaminska, Anna, 2003e:46027Polyrakis, Ioannis A. Lattice-subspaces and positive bases. An application in economics.


Pustylnik, Evgenii see Cobos, Fernando, 2003f:46032Reilly, Ivan L. see Cao, Ji Ling et al., 2003m:46028

Sims, Brailey see Chen, Shu Tao et al., 2003f:46031Xiong, Hong Yun see Cao, Ji Ling et al., 2003m:46028


Abramovich, Yuri A. (with Aliprantis, Charalambos D.) Positive operators. 2003e:47071

(with Aliprantis, Charalambos D.) An invitation to operator theory. (Englishsummary) 2003h:47072

(with Aliprantis, Charalambos D.) Problems in operator theory. (English summary)2003h:47073

Aliprantis, Charalambos D. see Abramovich, Yuri A., 2003e:47071; 2003h:47072 and2003h:47073

Blasco, Oscar (with Signes, T.) q-concavity and related properties on symmetric sequencespaces. (English summary) 2003j:46024

Chen, Zi Li (with Wickstead, A. W.) Equalities involving the modulus of an operator.(English summary) 2003a:47081

Danet, Rodica-Mihaela (with Wong, Ngai Ching) Hahn-Banach-Kantorovich typetheorems with the range space not necessarily (o)-complete. (English summary)2003c:47072

Darmawijaya, Soeparna see Supama, 2003h:46057Drewnowski, Lech Continuity of monotone functions with values in Banach lattices.


(with Wnuk, Witold) On the modulus of measures with values in topological Rieszspaces. (English summary) 2003m:28013

Drnovsek, Roman Bounds for the spectral radius of positive operators. (English summary)2003a:47082

Flores, Julio (with Hernandez, Francisco L.) Domination by positive strictly singularoperators. 2003k:47047

Garcıa Raffi, L. M. (with Romaguera, Salvador; Sanchez Perez, Enrique A.) Extensions ofasymmetric norms to linear spaces. (English summary) 2003i:46009

Hernandez,Francisco L. see Flores, Julio, 2003k:47047Hudzik, Henryk (with Maligranda, Lech) Amemiya norm equals Orlicz norm in general.


Jackson, Frances Y. (with Luxemburg, W. A. J.) Sundual characterizations of thetranslation group of R. (English summary) 2003i:47040


Kaminska, Anna (with Maligranda, Lech; Persson, Lars Erik) Indices, convexity andconcavity of Calderon-Lozanovskii spaces. (English summary) 2003m:46041

Kislyakov, S. V. On BMO-regular lattices of measurable functions. (Russian) 2003m:46043

Luxemburg, W. A. J. see Jackson, Frances Y., 2003i:47040Maligranda,Lech see Hudzik, Henryk, 2003e:46039 and Kaminska, Anna et al.,

2003m:46041

Persson, Lars Erik see Kaminska, Anna et al., 2003m:46041Romaguera, Salvador see Garcıa Raffi, L. M. et al., 2003i:46009SanchezPerez, Enrique A. see Garcıa Raffi, L. M. et al., 2003i:46009Signes, T. see Blasco, Oscar, 2003j:46024Supama (with Darmawijaya, Soeparna) An orthogonally additive functional on a space of

Banach lattice valued functions. (English summary) 2003h:46057Urbanıkova,Marta Limit theorems for B-lattice valued random variables. (English

summary) 2003b:60013Wickstead, A. W. see Chen, Zi Li, 2003a:47081Wnuk, Witold see Drewnowski, Lech, 2003m:28013

Wong,Ngai Ching see Danet, Rodica-Mihaela,2003c:47072


Problems:

Operator theory see Abramovich, Yuri A., 2003h:47072 and 2003h:47073

46B45 Banach sequence spaces [see also 46A45]

Aizpuru Tomas, Antonio (with Perez Fernandez, Francisco Javier) Sequence spacesassociated to a series in a Banach space (sequence spaces associated to a series). (Englishsummary) 2003i:46017

Amin, W. see Khalil, Roshdi et al., 2003f:46034Arregui Casaus, Jose Luis (with Blasco, Oscar) (p, q)-summing sequences. (English

summary) 2003i:46018Bhardwaj, Vinod K. (with Singh, Niranjan) Banach space valued sequence spaces defined

by a modulus. (English summary) 2003a:46035

Blasco, Oscar (with Signes, T.) q-concavity and related properties on symmetric sequencespaces. (English summary) 2003j:46024

see also Arregui Casaus, Jose Luis, 2003i:46018Bu, Qing Ying Weakly sequential completeness of Banach-valued sequence spaces lp[X ].

(English summary) 2003f:46033Fourie, Jan H. (with Rontgen, Ilse M.) Banach space sequences and projective tensor

products. (English summary) 2003m:46031Hussein, Deeb seeKhalil, Roshdi et al., 2003f:46034Kananthai, A. (with Musarleen, M.; Sanhan, Winate; Suantai, Suthep) On property (H)

and rotundity of difference sequence spaces. (English summary) 2003i:46019

Khalil, Roshdi (with Hussein, Deeb; Amin, W.) Geometry of modulus spaces. (Englishsummary) 2003f:46034

Kolwicz, Paweł Uniform Kadec-Klee property and nearly uniform convexity in Kothe-Bochner sequence spaces. (English and Italian summaries) 2003j:46025

Liflyand, Elijah On quasi-monotone functions and sequences. (English summary)2003k:46023

Lin, Bor-Luh (with Shi, Zhongrui) On Orlicz sequence spaces with the -property. (see2003m:46003)

Liu, Xin Bo see Wang, Ting Fu, 2003h:46028Musarleen,M. see Kananthai,A. et al., 2003i:46019Perez Fernandez,Francisco Javier see Aizpuru Tomas, Antonio, 2003i:46017Rontgen, Ilse M. see Fourie, Jan H., 2003m:46031

Saidi, Fathi B. Explicit characterizations of orthogonality in lpS (C). (English summary)2003h:46027

Sanhan,Winate seeKananthai, A. et al., 2003i:46019Shi, Zhongrui see Lin, Bor-Luh, (2003m:46003)Signes, T. see Blasco, Oscar, 2003j:46024Singh, Niranjan see Bhardwaj, Vinod K., 2003a:46035Smailov, E. S. Embedding theorems for Sobolev spaces of numerical sequences [Translation

of Proceedings on Analysis and Geometry (Russian) (Novosibirsk Akademgorodok,1999), 553–570, Izdat. Ross. Akad. Nauk Sib. Otd. Inst. Mat., Novosibirsk, 2000; MR2002j:46030]. (English summary)

Suantai, Suthep see Kananthai,A. et al., 2003i:46019Wang, Ting Fu (with Liu, Xin Bo) Monotone points of Musielak-Orlicz sequence spaces

with Orlicz norm. (Chinese. English and Chinese summaries) 2003h:46028

Yan, Ya Qiang Riesz angles of Orlicz sequence spaces. (English summary) 2003e:46028

WCS coefficients in Orlicz sequence spaces. (English summary) 2003i:46020


Abakumov, E. V. (with Borichev, A. A.) Shift invariant subspaces with arbitrary indices inlp spaces. (English summary) 2003b:47014

Borichev, A. A. see Abakumov, E. V., 2003b:47014Bu, Qing Ying A characterization of adjoint 1-summing operators. 2003f:47034Castillo, Jesus M. Fdez. (with Moreno Salguero, Yolanda) Strictly singular quasi-linear

maps. 2003a:47122


Cui, Yun An see Chen, Shu Tao et al., 2003e:46034Dragilev, M. M. On Kothe spaces with pre-equivalent unconditional basis. (Russian)

2003b:46005

Esterle, Jean Toeplitz operators on weighted Hardy spaces. (English summary)2003f:47047

Hinrichs, Aicke Approximation numbers of identity operators between symmetric sequencespaces. (English summary) 2003h:47036

Hudzik,Henryk see Chen, Shu Tao et al., 2003e:46034(Jain, Pawan Kumar) see Sequence spaces and applications, 2003m:46003

(Kamthan, Pawan Kumar) see Sequence spaces and applications,2003m:46003

Kanjin, Yuichi (with Satake,M.) Inequalities for discrete Hardy spaces. (English summary)2003c:46036

Kemprasit, Yupaporn (with Petranuarat, Somkit) Superposition operators of cs, c, bs andl∞ into lp(1≤ p <∞). (English summary) 2003j:47037

Li, Jinlu On the core of a sequence in Banach spaces. (English summary) 2003f:40008

Lopez Molina, J. A. Pitt’s theorem for operators between general Lorentz sequence spaces.(English summary) 2003b:47060

Maleev, R. (with Zlatanov, B.) Smoothness in Musielak-Orlicz sequence spaces. (Englishsummary) 2003d:46010

(Malkowsky, Eberhard) see Sequence spaces and applications,2003m:46003

Michels, Carsten On Gaussian-summing identity maps between Lorentz sequence spaces.(English summary) 2003k:47031

Moreno Salguero,Yolanda see Castillo, Jesus M. Fdez., 2003a:47122Petranuarat, Somkit see Kemprasit, Yupaporn,2003j:47037Randrianantoanina,Beata Norm-one projections in Banach spaces. (English summary)

2003d:46001

Rhoades, Billy E. see Savas, Ekrem, 2003d:46011Saidi, Fathi B. Characterisations of orthogonality in certain Banach spaces. (English

summary) 2003a:46026

An extension of the notion of orthogonality to Banach spaces. (English summary)2003a:46027

Satake,M. see Kanjin, Yuichi, 2003c:46036Savas, Ekrem (with Rhoades, Billy E.) On some new sequence spaces of invariant means

defined by Orlicz functions. (English summary) 2003d:46011Wang, Ting Fu see Chen, Shu Tao et al., 2003e:46034Yan, Ya Qiang On the nonsquare constants of Orlicz spaces with Orlicz norm. (English


Zlatanov, B. see Maleev, R., 2003d:46010


Memorial Volume:

Kamthan, Pawan Kumar Sequence spaces and applications. 2003m:46003


46B50 Compactness in Banach (or normed) spaces

Fabian, Marian J. (with Montesinos Santalucıa, Vicente; Zizler, Vaclav) Pointwisesemicontinuous smooth norms. (English summary) 2003g:46019

Matouskova, Eva (with Stegall, Charles) Compact spaces with a finer metric topology andBanach spaces. (English summary) 2003e:46029

Montesinos Santalucıa,Vicente see Fabian,Marian J. et al., 2003g:46019Stegall, Charles see Matouskova, Eva, 2003e:46029Valdivia, Manuel Weak-star compact subsets in the bidual of a Banach space. (English

summary) 2003a:46036Zizler, Vaclav see Fabian,Marian J. et al., 2003g:46019


Almira, Jose Marıa (with Luther, U.) Compactness and generalized approximation spaces.(English summary) 2003d:41033

Banas, Jozef (with Sadarangani, Kishin B.) Compactness conditions and strongsubdifferentiability of a norm in geometry of Banach spaces. 2003m:46015

Chandler-Wilde,Simon N. (with Zhang, Bo1) A generalized collectively compact operatortheory with an application to integral equations on unbounded domains. (Englishsummary) 2003f:47022

Dorfler, Monika (with Feichtinger, Hans G.; Grochenig, Karlheinz) Compactness criteriain function spaces. (English summary) 2003j:46041

Fabian, Marian J. (with Montesinos Santalucıa, Vicente; Zizler, Vaclav) Weakly compactsets and smooth norms in Banach spaces. (English summary) 2003f:46021

Falcon, Sergio (with Sadarangani, Kishin B.) Set quantities and Tauberian operators.(English summary) 2003d:47024

Feichtinger, Hans G. see Dorfler, Monika et al., 2003j:46041Grochenig, Karlheinz see Dorfler, Monika et al., 2003j:46041Kalenda, Ondrej F. K. Valdivia compacta and biduals of Asplund spaces. (English

summary) 2003d:46020Karn, Anil K. see Sinha, Deba P., 2003g:46016Luther, U. seeAlmira, Jose Marıa, 2003d:41033Montesinos Santalucıa,Vicente see Fabian,Marian J. et al., 2003f:46021Sadarangani,Kishin B. see Falcon, Sergio, 2003d:47024 and Banas, Jozef, 2003m:46015

Sinha, Deba P. (with Karn, Anil K.) Compact operators whose adjoints factor throughsubspaces of lp . (English summary) 2003g:46016

Wang, Jincai Sequentially compact sets in a class of generalized Orlicz spaces. (Englishsummary) 2003e:46042

Zhang, Bo1 see Chandler-Wilde,Simon N., 2003f:47022Zizler, Vaclav see Fabian,Marian J. et al., 2003f:46021

46B70 Interpolation between normed linear spaces[see also 46M35]


Bagdasaryan, A. G. Interpolation and traces of functions from some spaces of Sobolev-Liouville type. (Russian. English and Russian summaries) 2003m:46046

Baghdasarian, A. On one approach to the intersection problem of Peetre. (English andGeorgian summaries) 2003d:46100

Defant, Andreas (with Mastyło, Mieczysław;Michels, Carsten) Applications of summinginclusion maps to interpolation of operators. (English summary) 2003m:46108

Dmitrishin, M. I. Interpolation of spaces of ultrasmooth vectors of closed operators.(Ukrainian. English, Russian and Ukrainian summaries) 2003j:46115

Folch-Gabayet,Magali (with Wright, James Robert) An estimation for a family ofoscillatory integrals. (English summary) 2003m:42029


Kaijser, Sten (with Sigstam, Kibret Negussie) A pseudo-metric structure on interpolationfunctors. (English summary) 2003a:46103

Kaminska, Anna (with Maligranda, Lech; Persson, Lars Erik) Indices, convexity andconcavity of Calderon-Lozanovskii spaces. (English summary) 2003m:46041

Maligranda,Lech see Kaminska, Anna et al., 2003m:46041

Mastyło,Mieczysław see Defant, Andreas et al., 2003m:46108

Michels, Carsten see Defant, Andreas et al., 2003m:46108Persson, Lars Erik see Kaminska, Anna et al., 2003m:46041

Sigstam, Kibret Negussie see Kaijser, Sten, 2003a:46103Stan, Ilie Minimal and maximal description for the real interpolation methods in the case

of quasi-Banach triples. (English summary) 2003k:46108

Wright, James Robert see Folch-Gabayet,Magali, 2003m:42029

46B99 None of the above, but in this section

Abdullaev,A. R. Steady properties of elements in Banach spaces. (English and Georgiansummaries) 2003h:46029


Bhattacharya,S. see Lal, Shiva Narain et al., 2003g:46020Bornemann, Folkmar A. Normen zur Charakterisierung der schwach∗-Konvergenz

beschrankter Folgen. (German summary) [Norms for the characterization of weak∗

convergence of bounded sequences] 2003h:46030Casevitz, Pierre The complexity of subdifferentiation and its inverse on convex functions in

Banach spaces. (English summary) 2003k:46024Chen, Ten Ging On a generalization of 2-normed linear space. (English summary)

2003d:46028Kalton, Nigel J. A remark on quasi-isometries. (English summary) 2003k:46025

Lal, Shiva Narain (with Bhattacharya, S.; Reddi, E. Keshava) Convergence of Cauchysequences in 2-normed spaces. (English summary) 2003g:46020

Oertel, Frank Extension of finite rank operators and operator ideals with the property (I).(English summary) 2003h:46031

On normed products of operator ideals which contain L2 as a factor. (English summary)2003m:46032

Reddi, E. Keshava see Lal, Shiva Narain et al., 2003g:46020RodrıguezPalacios, Angel see Becerra Guerrero, Julio et al., 2003j:46026Stouti, Abdelkader Fix-finite approximation property in normed vector spaces.

2003g:46021Wood, Geoffrey V. see Becerra Guerrero, Julio et al., 2003j:46026


Azagra, Daniel (with Ferrera Cuesta, Juan) Every closed convex set is the set of minimizersof some C∞-smooth convex function. (English summary) 2003d:49009

Brattka, Vasco Computable versions of Baire’s category theorem. (English summary)2003d:03101

Bridges, Douglas S. (with Dudley Ward,Nicholas F.) Kernels of seminorms in constructiveanalysis. (English summary) 2003f:03077

Burachik, Regina Sandra (with Svaiter, B. F.) Maximal monotone operators, convexfunctions and a special family of enlargements. (English summary) 2003k:90085

Buse, Constantin (with Dragomir, Sever Silvestru; Roumeliotis, John; Sofo, Anthony)Generalised trapezoid type inequalities for vector-valued functions and applications.(English summary) 2003d:26025

Cabello Sanchez,Felix The singular case in the stability of additive functions. 2003b:39040

Cho, Kyugeun Averaging property in Banach spaces. (English summary) 2003j:46011Dilworth, S. J. (with Howard, Ralph; Roberts, James W.) Extremal approximately convex

functions and the best constants in a theorem of Hyers and Ulam. (English summary)2003m:26017

Dimant, Veronica Strongly p-summing multilinear operators. (English summary)2003m:47031

Dodds, P. G. (with Semenov, E. M.; Sukochev, F. A.; Franchetti, Carlo) The Banach-Saksproperty for function spaces. (Russian) 2003g:46030

Dragomir, Sever Silvestru An inequality improving the first Hermite-Hadamard inequalityfor convex functions defined on linear spaces and applications for semi-inner products.(English summary) 2003f:26032

see also Buse, Constantin et al., 2003d:26025Dudley Ward, Nicholas F. see Bridges, Douglas S., 2003f:03077Ferrera Cuesta, Juan see Azagra, Daniel, 2003d:49009Franchetti,Carlo see Dodds, P. G. et al., 2003g:46030Friedman, Theresa L. Relating strictly singular operators to the condition X <Y mod

(= ,T ) and resulting perturbations. (English summary) 2003m:47003

Garcıa Raffi, L. M. (with Romaguera, Salvador; Sanchez Perez, Enrique A.) Thebicompletion of an asymmetric normed linear space. (English summary) 2003m:46012

Gasparis, Ioannis Strictly singular non-compact operators on hereditarily indecomposableBanach spaces. (English summary) 2003j:46009

Goebel, Kazimierz Metric environment of the topological fixed point theorems.2003e:47096

Gunawan, Hendra Inner products on n-inner product spaces. (English summary)2003i:46023

Gutev, Valentin (with Ohta, Haruto; Yamazaki, Kaori) Selections and sandwich-like properties via semi-continuous Banach-valued functions. (English summary)2003m:54024

Gutman, A. E. (with Ryabko, D. B.) The nonstandard hull of a normed space ina Boolean-valued universe [Translation of Mat. Tr. 4 (2001), no. 2, 42–52; MR2002h:46126]. (English summary)

Haydon,R. G. Boolean rings that are Baire spaces. (English summary) 2003e:46031Horvath, A. G. On bisectors in Minkowski normed spaces. (English summary)

2003e:52007Howard, Ralph see Dilworth, S. J. et al., 2003m:26017

Jayne, John E. (with Rogers, C. Ambrose) Selectors. (English summary) 2003j:54018

Kamal, Aref On weak Chebyshev subspaces and the property awc1: a survey. (Englishsummary) 2003c:41037

Lafuerza-Guillen, B. D -bounded sets in probabilistic normed spaces and in their products.(English and Italian summaries) 2003k:46110

Li, Chi-Kwong (with Schneider, Hans) Orthogonality of matrices. (English summary)2003c:15036

Lindenstrauss, Joram (with Preiss, David) On Frechet differentiability of Lipschitz mapsbetween Banach spaces. (English summary) 2003k:46058

Malceski, Risto An n-semi-inner product of characteristicp. (Macedonian. English andMacedonian summaries) 2003a:46040

Martinon, Antonio (with Sadarangani, Kishin B.) Ideals of operators and ideals of sets inBanach spaces. (Spanish. English summary) 2003b:47108

Mitani, Ken-ichi (with Saito, Kichi-Suke; Suzuki, Tomonari) Differentiability of absolutenorm on Cn. (Japanese) (see 2003a:00030)

Moors, Warren B. (with Somasundaram, Sivajah) A weakly Stegall space that is not aStegall space. (English summary) 2003h:54021

Navarro, M. A. A note on extreme operators on finite-dimensional Banach spaces.(Spanish. Spanish summary) (see 2003a:00034)

Nortemann, Stefan The Hahn-Banach theorem for partially ordered totally convex,positively convex and superconvexmodules. (English summary) 2003m:46009

Ohta, Haruto see Gutev, Valentin et al., 2003m:54024

Oja, Eve Fields Medal for the theory of Banach spaces. (Estonian) (see 2003a:00013)Pestov, Vladimir Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely

amenable groups. (English summary) 2003f:43001

Preiss, David see Lindenstrauss, Joram, 2003k:46058Rassias, Themistocles M. Isometric mappings and the problem of A. D. Aleksandrov for

conservative distances. (English summary) 2003c:54057

Roberts, James W. see Dilworth, S. J. et al., 2003m:26017

Rogers, C. Ambrose see Jayne, John E., 2003j:54018Rojas-Medar,Marko Antonio see Roman-Flores, Heriberto, 2003i:46086Romaguera, Salvador see Garcıa Raffi, L. M. et al., 2003m:46012

Roman-Flores, Heriberto (with Rojas-Medar, Marko Antonio) Embedding of level-continuous fuzzy sets on Banach spaces. (English summary) 2003i:46086

Roumeliotis, John see Buse, Constantin et al., 2003d:26025Ryabko, D. B. see Gutman, A. E.

Sadarangani,Kishin B. see Martinon, Antonio, 2003b:47108Saito, Kichi-Suke see Mitani, Ken-ichi et al., (2003a:00030)Sanchez Perez, Enrique A. see Garcıa Raffi, L. M. et al., 2003m:46012

Schneider, Hans see Li, Chi-Kwong, 2003c:15036Semenov, E. M. see Dodds, P. G. et al., 2003g:46030Shtern, A. I. Criteria for weak and strong continuity of representations of topological

groups in Banach spaces. (Russian. Russian summary) 2003i:22003

Sofo, Anthony see Buse, Constantin et al., 2003d:26025Somasundaram, Sivajah see Moors, Warren B., 2003h:54021Song, Fumin see Sun, Jing Xian, 2003g:54072Sukochev, F. A. see Dodds, P. G. et al., 2003g:46030Sun, Jing Xian (with Song, Fumin) A property of connected components and its

applications. (English summary) 2003g:54072

Suzuki, Tomonari see Mitani, Ken-ichi et al., (2003a:00030)Svaiter, B. F. see Burachik, Regina Sandra, 2003k:90085Vahabov, N. G. The localization of spectrum and its application. I. (English and Azerbai-

jani summaries) 2003g:47009Villanueva Dıez, Ignacio Integral mappings between Banach spaces. (English summary)

2003m:47118

Vladimirescu, Cristian (with Vladimirescu, Simona) On separability and metrisability ofweak topologies. (English summary)

Vladimirescu, Simona see Vladimirescu, CristianWu, Jian Rong2 An embedding theorem for fuzzy numbers on Banach spaces and its

applications. (English summary) 2003c:46088

Yamazaki, Kaori see Gutev, Valentin et al., 2003m:54024Zarnadze, D. On spline algorithms and best approximations in finite codimensional

subspaces.

46Cxx Inner product spaces and their generalizations,Hilbert spaces For function spaces, see 46Exx.

46C05 Hilbert and pre-Hilbert spaces: geometry and topology(including spaces with semidefinite inner product)

Ding, Guanggui The 1-Lipschitz mapping between the unit spheres of two Hilbert spacescan be extended to a real linear isometry of the whole space. (English summary)2003d:46029

Duan, Huo Yuan A characterization of the orthogonal decomposition of Hilbert spaces andits application. (Chinese. English and Chinese summaries) 2003i:46021

Dvurecenskij, Anatolij A new algebraic criterion for completeness of inner product spaces.(English summary) 2003a:46037

Kashin, B. S. (with Kulikova, T. Yu.) A remark on the approximation properties of framesof general form. (Russian) 2003m:46033

(with Kulikova, T. Yu.) A remark on the description of frames of general form.(Russian) 2003m:46034

Kulikova, T. Yu. see Kashin, B. S., 2003m:46033 and 2003m:46034

Items with secondary classifications in 46C05

Azagra, Daniel (with Jimenez Sevilla,Mar) On the size of the sets of gradients of bumpfunctions and starlike bodies on the Hilbert space. (English summary) 2003k:46056

Balashov, M. V. An analogue of the Kreın-Milman theorem for a strongly convex hull in aHilbert space. (Russian. Russian summary) 2003a:46021

46C Inner product spaces and their generalizations, Hilbert spaces1201 2003 46C50

Bercovici, Hari (with Kostov, Stoyko) Perturbation of orthonormal bases with anapplication to diagonalization. (English summary) 2003i:47002

Catinas, Daniela On a possible determination of the frame bounds. (English summary)2003j:65142

Christensen,Ole An introduction to frames and Riesz bases. 2003k:42001

Corach, Gustavo (with Maestripieri, Alejandra; Stojanoff, Demetrio) Oblique projectionsand abstract splines. (English summary) 2003h:41011

Dragomir, Sever Silvestru A note on Bessel’s inequality. 2003d:26027Dranishnikov, A. N. (with Gong, Guihua; Lafforgue, Vincent; Yu, Guo Liang) Uniform

embeddings into Hilbert space and a question of Gromov. (English summary)2003a:57043

Faure, Claude-Alain An elementary proof of the fundamental theorem of projectivegeometry. (English summary) 2003a:51001

Ganichev,M. (with Kadets, Vladimir M.) Filter convergence in Banach spaces andgeneralized bases. (English summary) 2003f:46019


Giannopoulos,Apostolos A. (with Milman, Vitali D.) Euclidean structure in finitedimensional normed spaces. 2003b:46008

Gong, Guihua see Dranishnikov, A. N. et al., 2003a:57043Holub, James R. Invertibility of operators on Hilbert space defined by frames. (English


Jimenez Sevilla,Mar see Azagra, Daniel, 2003k:46056Kadets, Vladimir M. see Ganichev,M., 2003f:46019Kadison, Richard V. The Pythagorean theorem. I. The finite case. (English summary)

2003e:46108a

The Pythagorean theorem. II. The infinite discrete case. (English summary)2003e:46108b

Karabyn,O. Nonstandard bases of subspaces in a Hilbert space. (Ukrainian. English,Russian and Ukrainian summaries) 2003k:46012

On notion of bases in a Hilbert space. (English and Russian summaries) 2003j:46117Kim, Kang-Tae (with Krantz, Steven G.) Characterization of the Hilbert ball by its

automorphism group. (English summary) 2003a:32033Kostov, Stoyko see Bercovici, Hari, 2003i:47002Krantz, Steven G. see Kim, Kang-Tae, 2003a:32033Kudrik, T. S. see Lyantse, V. E., 2003j:46118Lafforgue, Vincent see Dranishnikov, A. N. et al., 2003a:57043Li, FengWei see Yao, Xi YanLyantse, V. E. (with Kudrik, T. S.) On near-standardness in Hilbert spaces. (Russian.

Russian summary) 2003j:46118Maestripieri, Alejandra see Corach, Gustavo et al., 2003h:41011Milman, Vitali D. see Giannopoulos,ApostolosA., 2003b:46008Mirzakhanyan, E. A. Construction of infinite-dimensional relative homotopy groups in a

Hilbert space. (Russian) 2003i:55014Parcet, Javier see Garcıa-Cuerva, Jose, 2003m:46089

Saidi, Fathi B. Characterisations of orthogonality in certain Banach spaces. (Englishsummary) 2003a:46026

Explicit characterizations of orthogonality in lpS (C). (English summary) 2003h:46027

Saitoh,Saburou Inverses of a family of bounded linear operators. (English summary)Shevchik, V. V. Images of orthonormal sequences and flattened subspaces in a Hilbert

space. (English summary) 2003c:46020

Stojanoff,Demetrio see Corach, Gustavo et al., 2003h:41011Terekhin, P. A. Riesz bases generated by contractions and translations of a function on an

interval. (Russian. Russian summary) 2003k:42056Vaisala, Jussi A survey of nearisometries. 2003g:46017

Xin, Jie (with Zhou, Jia Yun) Perturbation and stability of frames and atomic decomposi-tions for Banach spaces. (Chinese. English and Chinese summaries) 2003k:46014

Yao, Xi Yan (with Li, Feng Wei) Some characterizations of Bessel sets and generalizedframes. (Chinese. English and Chinese summaries)(with Zhang, Jing Jie) Equivalence relations between generalized frames. (Chinese.English and Chinese summaries) 2003d:46015

Yu,Guo Liang seeDranishnikov, A. N. et al., 2003a:57043Zhang, Jing Jie see Yao, Xi Yan, 2003d:46015Zhang, Ke Wei1 A bilinear inequality. (English summary) 2003f:47033

Zhou, Jia Yun see Xin, Jie, 2003k:46014

46C07 Hilbert subspaces (= operator ranges); complementation(Aronszajn, de Branges, etc.) [see also 46B70, 46M35]


Buechler, Steven (with Lessmann, Olivier) Simple homogeneous models. 2003i:03036Corach, Gustavo (with Maestripieri, Alejandra; Stojanoff, Demetrio) Generalized

orthogonal projections and shorted operators. (English summary) 2003a:47043Lessmann, Olivier see Buechler, Steven, 2003i:03036Maestripieri, Alejandra see Corach, Gustavo et al., 2003a:47043Stojanoff,Demetrio see Corach, Gustavo et al., 2003a:47043

46C15 Characterizations of Hilbert spaces


Benıtez, Carlos (with Fernandez Garcıa-Hierro,Manuel; Soriano, Marıa L.) Location ofthe Fermat-Torricelli medians of three points. (English summary) 2003h:46032

FernandezGarcıa-Hierro, Manuel see Benıtez, Carlos et al., 2003h:46032Navarro, M. A. A note on extreme operators on finite-dimensional Banach spaces.

(Spanish. Spanish summary) (see 2003a:00034)Randrianantoanina,Beata A note on the Banach-Mazur problem. (English summary)

2003a:46038

RodrıguezPalacios, Angel see Becerra Guerrero, Julio, 2003i:46022

Soriano, Marıa L. see Benıtez, Carlos et al., 2003h:46032


Fonf, V. P. (with Plichko, Anatoliı; Shevchik, V. V.) On a functional-analysis approach toorthogonal sequences problems. (English and Spanish summaries) 2003b:46011

Gunawan, Hendra A generalization of Bessel’s inequality and Parseval’s identity. (Englishsummary) 2003h:42008

Plichko, Anatoliı see Fonf, V. P. et al., 2003b:46011Shevchik, V. V. see Fonf, V. P. et al., 2003b:46011

46C20 Spaces with indefinite inner product (Kreın spaces,Pontryagin spaces, etc.) [see also 47B50]

Hofmann, Gerald On self-polar Hilbertian norms on (indefinite) inner product spaces.(English summary) 2003d:46030On inner characterizations of pseudo-Kreın and pre-Kreın spaces. (English summary)2003e:46030


Alpay, Daniel (with Vinnikov, Victor) Finite dimensional de Branges spaces on Riemannsurfaces. (English summary) 2003f:47038

Azizov, Tomas Ya. (with Dijksma, Aad; Gridneva, Irina V.) On the boundedness ofHamiltonian operators. (English summary) 2003g:47069

Bagchi, Bijan Kumar (with Quesne, Christianne) Pseudo-Hermiticity, weak pseudo-Hermiticity and 1-orthogonality condition. (English summary) 2003g:81064

Constantinescu, Tiberiu (with Gheondea, Aurelian) Representations of Hermitian kernelsby means of Krein spaces. II. Invariant kernels. (English summary) 2003b:47032

Dijksma, Aad see Azizov, Tomas Ya. et al., 2003g:47069Gheondea, Aurelian see Constantinescu, Tiberiu, 2003b:47032Gridneva, Irina V. see Azizov, Tomas Ya. et al., 2003g:47069Jonas, Peter1 (with Trunk, Carsten) On a class of analytic operator functions and their

linearizations. (English summary) 2003h:47070Molnar, Lajos Orthogonality preserving transformations on indefinite inner product

spaces: generalization of Uhlhorn’s version of Wigner’s theorem. (English summary)2003h:47069

Mostafazadeh,Ali Erratum: “Pseudo-Hermiticity for a class of nondiagonalizableHamiltonians” [J. Math. Phys. 43 (2002), no. 12, 6343–6352;MR 2003k:81054a].2003k:81054b

Osilenker, Boris P. Symmetric Legendre-Sobolev polynomials in Pontryagin-Sobolevspaces. (Russian. English, Russian and Ukrainian summaries) 2003g:46036

Quesne, Christianne see Bagchi, Bijan Kumar, 2003g:81064Rema, P. S. (with Sribala, S.; Vijayarangan, N.) KreinH ∗-triple systems. (English


Schmidt, Andreas U. Infinite infrared regularization and a state space for the Heisenbergalgebra. (English summary) 2003b:81114a

Erratum: “Infinite infrared regularization and a state space for the Heisenberg algebra”.2003b:81114b

Sribala, S. see Rema, P. S. et al., 2003j:46077Trunk, Carsten see Jonas, Peter1, 2003h:47070Vijayarangan,N. see Rema, P. S. et al., 2003j:46077Vinnikov, Victor see Alpay, Daniel, 2003f:47038Znojil, Miloslav ShouldPT symmetric quantum mechanics be interpreted as nonlinear?


46C50 Generalizations of inner products (semi-inner products,partial inner products, etc.)

Crasmareanu, Mircea (with Dragomir, Sever Silvestru) 2k-inner products in real linearspaces. (English summary) 2003h:46033

Dragomir, Sever Silvestru see Crasmareanu, Mircea, 2003h:46033Gunawan, Hendra Inner products on n-inner product spaces. (English summary)

2003i:46023

Milicic, Pavle M. On the g-orthogonal projection and the best approximation of a vector ina quasi-inner product spaces. (English summary) 2003a:46039


Bakic, Damir (with Guljas, Boris) Hilbert C ∗-modules overC ∗-algebras of compactoperators. (English summary) 2003f:46092

(with Guljas, Boris) On a class of module maps of Hilbert C ∗-modules. (Englishsummary) 2003k:46084

Cokilavany, R. see Meenakshi, A. R., 2003f:46118Gowda, Huche (with Lokesha, V.) On numerical range and spectrum of linear operators on

G.S.I.P. spaces. (English summary) 2003m:47009

(with Lokesha, V.) A note on characterisations of strict convexity. (English summary)2003i:46010

(with Lokesha, V.) On spectral properties of operators on Banach spaces. (Englishsummary) 2003g:47005

(with Lokesha, V.) On normed linear spaces. (English summary) 2003i:46011Guljas, Boris see Bakic, Damir, 2003f:46092 and 2003k:46084

Gunawan, Hendra A generalization of Bessel’s inequality and Parseval’s identity. (Englishsummary) 2003h:42008

Ilisevic, Dijana On redundance of one of the axioms of a generalized normed space.(English summary) 2003f:46079

Lokesha, V. see Gowda, Huche, 2003g:47005;2003i:46010;2003i:46011 and 2003m:47009

Meenakshi, A. R. (with Cokilavany, R.) Fuzzy 2-inner product spaces. (English summary)2003f:46118

Milicic, Pavle M. On the orthogonal projection and the best approximation of a vector in aquasi-inner product space. (English summary) 2003a:41036

Characterizations of convexities of normed spaces by means of g-angles. (Englishsummary) 2003k:46020

FUNCTIONAL ANALYSIS46C99 2003 1202

46C99 None of the above, but in this section

Enomoto,Masatoshi see Watatani,Yasuo

Lin, Chia-Shiang On inequalities in inner product and 2-inner product spaces. (Englishsummary) 2003k:46026

Malceski, Risto An n-semi-inner product of characteristicp. (Macedonian. English andMacedonian summaries) 2003a:46040

Watatani,Yasuo (with Enomoto, Masatoshi) Arrangement problems for 4 subspaces in aHilbert space. (Japanese)


Dragomir, Sever Silvestru An inequality improving the first Hermite-Hadamard inequalityfor convex functions defined on linear spaces and applications for semi-inner products.(English summary) 2003f:26032

Gowda,Huche (with Lokesha, V.) Adjoint-abelian and iso-abelian operators on Banachspaces. (English summary) 2003a:47003

Lokesha, V. see Gowda, Huche, 2003a:47003

46Exx Linear function spaces and their duals Forfunction algebras, see 46J10.

Items with secondary classifications in 46Exx

(Hartmann, Andreas) see Nikol′skiı, Nikolai K., 2003i:47001a and 2003i:47001bNikol′skiı, Nikolai K. Operators, functions, and systems: an easy reading. Vol. 1.

(English summary) 2003i:47001aOperators, functions, and systems: an easy reading. Vol. 2. (English summary)2003i:47001b

46E05 Lattices of continuous, differentiable or analytic functions

Claus, I. H. A. W. (with Dondergoor, D.; van Rooij, A. C. M.) M -seminorms on spaces ofcontinuous functions. (English summary) 2003c:46029

Dondergoor, D. see Claus, I. H. A. W. et al., 2003c:46029Haydon,R. G. Boolean rings that are Baire spaces. (English summary) 2003e:46031van Rooij, A. C. M. see Claus, I. H. A. W. et al., 2003c:46029

Items with secondary classifications in 46E05

Cao, Ji Ling (with Reilly, Ivan L.; Xiong, Hong Yun) A lattice-valuedBanach-Stonetheorem. (English summary) 2003m:46028

Garrido Carballo,Marıa Isabel (with Jaramillo, Jesus A.) A Banach-Stone theorem foruniformly continuous functions. (English summary) 2003g:54035

Jaramillo, Jesus A. see Garrido Carballo,Marıa Isabel, 2003g:54035Polyrakis, Ioannis A. Lattice-subspaces and positive bases. An application in economics.

(English summary) 2003m:46030Reilly, Ivan L. see Cao, Ji Ling et al., 2003m:46028

Xiong,Hong Yun see Cao, Ji Ling et al., 2003m:46028

46E10 Topological linear spaces of continuous, differentiable oranalytic functions

Abanin, D. A. Stability zones in Whitney’s extension problem for ultradifferentiablefunctions. (Russian. Russian summary) 2003c:46030

Abdul-Hussein,Mushtaq Shaker (with Srivastava, G. S.) A study on bornologicalproperties of the space of entire functions of several complex variables. (Englishsummary) 2003h:46034

Abul-Ez,M. A. A study on the space of entire functions having finite growth. (Englishsummary) 2003j:46027

Archoun,M. (with Ouakkasse, N.; Raıssouli, Mustapha) Decomposition en produittensoriel inductif de quelques espaces fonctionnels. (English summary) [Inductive tensorproduct decomposition of some functional spaces] 2003e:46032

Arslan, Bora (with Goncharov, A. P.; Kocatepe, Mefharet) Spaces of Whitney functions onCantor-type sets. (English summary) 2003a:46041

Bierstedt, Klaus D. (with Holtmanns, Silke) An operator representation for weightedinductive limits of spaces of vector valued holomorphic functions. (English summary)2003b:46023

Bruck, Rainer (with Frerick, Leonhard) Holomorphic extensions of Whitney jets. (Englishsummary) 2003m:46035

Frerick, Leonhard see Bruck, Rainer, 2003m:46035

Goncharov, A. P. see Arslan, Bora et al., 2003a:46041Holtmanns, Silke see Bierstedt, Klaus D., 2003b:46023Kakol, Jerzy Remarks on linear homeomorphisms of function spaces. (English summary)

2003d:46031Khabibullin,B. N. Dual representation of superlinear functionals and its applications in the

theory of functions. II. (Russian. Russian summary) 2003b:46024Kocatepe,Mefharet see Arslan, Bora et al., 2003a:46041Korobeınik,Yu. F. Absolutely representing systems of exponentials in the spaces of

infinitely-differentiable functions and extendability in the sense of Whitney. (Englishsummary) 2003b:46025

Kovrijkine,Oleg Some results related to the Logvinenko-Sereda theorem. (Englishsummary) 2003c:46031

Kozitskiı, Yu. V. (with Wołowski, Lech) Laguerre entire functions and related locallyconvex spaces. (English summary) 2003g:46022

Le Mau Hai (with Tang Van Long) The non-pluripolarity of compact sets in complexspaces and the property (LB∞) for the space of germs of holomorphic functions.(English summary) 2003h:46035

Napalkov, V. V., Jr. (with Popenov, S. V.) The holomorphic Cauchy problem for theconvolution operator in analytically uniform spaces, and Fisher expansions. (Russian)2003g:46023

Ouakkasse, N. see Archoun, M. et al., 2003e:46032

Popenov, S. V. see Napalkov, V. V., Jr., 2003g:46023Precupanu, Anca (with Precupanu, Teodor) A dual property for a class of quasi-convex

functions on a functional space. (English summary) 2003c:46032

Precupanu, Teodor see Precupanu, Anca, 2003c:46032Raıssouli, Mustapha see Archoun, M. et al., 2003e:46032Raj, Jagdish see Sharma, Som Datt, 2003i:46024Schmets, Jean (with Valdivia, Manuel) Ultraholomorphic extension maps for spaces of

ultradifferentiable jets. (English summary) 2003d:46032

Sharma, Som Datt (with Raj, Jagdish) A space of analytic functions with Montel property.(English summary) 2003i:46024

Shlapunov, A. A. On duality in spaces of polyharmonic functions. (Russian) 2003k:46027Srivastava, G. S. see Abdul-Hussein,Mushtaq Shaker, 2003h:46034Tang Van Long see Le Mau Hai, 2003h:46035Tidten, Michael A geometric characterization for the property (DN ) of E (K) for arbitrary

compact subsets K of R. (English summary) 2003b:46026

Valdivia, Manuel see Schmets, Jean, 2003d:46032Wirths, Karl-Joachim (with Xiao, Jie1) Recognizing Qp,0 functions per Dirichlet space

structure. (English summary) 2003a:46042Wołowski, Lech see Kozitskiı, Yu. V., 2003g:46022Xiao, Jie1 see Wirths, Karl-Joachim, 2003a:46042Zippin, M. The space of differences of convex functions on [0, 1]. (English summary)

2003b:46027


Afanas, Dorin N. (with Choban, MitrofanM.) Topological properties of function spaces.(English, Romanian and Russian summaries) 2003m:54022Topologies on functional spaces. (English summary)

Albanese, Angela A. (with Corli, Andrea; Rodino, Luigi) Hypoellipticity and localsolvability in Gevrey classes. (English summary) 2003d:35044

Araujo, Jesus Realcompactness and spaces of vector-valued functions. (English summary)2003h:54033

Balaz, Vladimır (with Salat, Tibor) Zeros of continuous functions and the structure of twofunction spaces. (English summary) 2003k:26004

Behnam, Hazem Shaba (with Srivastava,G. S.) On the spaces of a class of entire functionsof two complex variables having slow rate of growth. (English summary) 2003a:32001

Beshimov, R. B. The space of continuous functions with pointwise convergence, and weakdenseness. (Russian. English and Uzbek summaries) 2003h:54019

Bierstedt, Klaus D. A survey of some results and open problems in weighted inductivelimits and projective description for spaces of holomorphic functions. (English summary)2003f:46004(with Bonet, Jose) Biduality in (LF)-spaces. (English and Spanish summaries)2003d:46002

Bonet, Jose (with Domanski, Paweł; Vogt, Dietmar) Interpolation of vector-valued realanalytic functions. (English summary) 2003h:46056see also Bierstedt, Klaus D., 2003d:46002

Boyd, Christopher (with Dineen, Sean; Rueda, Maria Pilar) Locally Asplund preduals ofspaces of holomorphic functions. (English summary) 2003j:46059

(with Dineen, Sean; Rueda, Maria Pilar) Locally Asplund spaces of holomorphicfunctions. 2003k:46062

Choban,Mitrofan M. see Afanas, Dorin N., 2003m:54022Colojoara, Ion Ultradifferentiable representations. (English summary) 2003b:46048

Corli, Andrea see Albanese, Angela A. et al., 2003d:35044Dineen, Sean see Boyd, Christopher et al., 2003j:46059 and 2003k:46062Domanski, Paweł see Bonet, Jose et al., 2003h:46056Gavrilov, V. I. (with Zakharyan, V. S.; Subbotin, A. V.) Linear topological properties of

maximal Hardy spaces of functions harmonic in the disk. (Russian. Armenian summary)2003i:30052

Gulisashvili, Archil On the Kato classes of distributions and the BMO-classes. 2003a:46058

Li, Bao Qin (with Villamor, Enrique) Interpolating multiplicity varieties in Cn. (Englishsummary) 2003c:32015

Matsugu, Yasuo (with Ueki, Sei-ichiro) Isometries of weightedBergman-Privalov spaceson the unit ball of Cn. (English summary) 2003b:32010

Mincheva, Svetlana Automorphisms commuting with generalized integration operators inthe space of locally holomorphic functions. (English summary) 2003d:47047

Musin, I. Kh. Surjectivity of a linear differential operator in a weighted space of infinitelydifferentiable functions. (Russian. Russian summary) 2003k:47040

Napalkov, V. V., Jr. Complex analysis and the Cauchy problem for convolution operators.(Russian. Russian summary) 2003f:47054

Nawrocki, Marek On the Smirnov class defined by the maximal function. (Englishsummary) 2003f:42029

Oubbi, L. Multiplication operators on weighted spaces of continuous functions. (Englishsummary) 2003a:47068

see also Errata: “Multiplication operators on weighted spaces of continuous functions”

Reznichenko,E. A. (with Shkarin, S. A.) On linear extension operators. (Englishsummary) 2003k:54010

Rodino, Luigi see Albanese, Angela A. et al., 2003d:35044Rueda, Maria Pilar see Boyd, Christopher et al., 2003j:46059 and 2003k:46062

Salat, Tibor see Balaz, Vladimır, 2003k:26004Schmets, Jean (with Valdivia,Manuel) Holomorphic extension maps for spaces of

Whitney jets. (English and Spanish summaries) 2003e:58011

Shkarin, S. A. see Reznichenko,E. A., 2003k:54010Smirnov, E. I. Hausdorff spectra in functional analysis. 2003m:46107

Srivastava, G. S. see Behnam, Hazem Shaba, 2003a:32001Stevic, Stevo Weighted integrals of holomorphic functions in Cn. (English summary)

2003k:32005Subbotin, A. V. see Gavrilov, V. I. et al., 2003i:30052(Tweddle, Ian) see Smirnov, E. I., 2003m:46107

Ueki, Sei-ichiro see Matsugu, Yasuo, 2003b:32010Valdivia, Manuel see Schmets, Jean, 2003e:58011Villamor, Enrique see Li, Bao Qin, 2003c:32015

46E Linear function spaces and their duals1203 2003 46E15

Vogt, Dietmar see Bonet, Jose et al., 2003h:46056Zakharyan,V. S. see Gavrilov, V. I. et al., 2003i:30052


Errata:“Multiplication operators on weighted spaces of continuous functions” Erratum to:

“Multiplication operators on weighted spaces of continuous functions” [Port. Math.(N.S.) 59 (2002), no. 1, 111–124;MR 2003a:47068] by L. Oubbi.

46E15 Banach spaces of continuous, differentiable or analyticfunctions

Abkar, Ali Norm approximation by polynomials in some weighted Bergman spaces.(English summary) 2003h:46036

Bastero, Jesus (with Milman, Mario; Ruiz Blasco, Francisco Jose) On the connectionbetween weighted norm inequalities, commutators and real interpolation. (Englishsummary) 2003c:46033

Bennewitz, Christer (with Saito, Yoshimi) An embedding norm and the Lindqvisttrigonometric functions. (English summary) 2003j:46028

Boe, Bjarte A norm on the holomorphic Besov space. (English summary) 2003g:46024

Chalendar, Isabelle (with Partington, Jonathan R.) Interpolation between Hardy spaces oncircular domains with applications to approximation. (English summary) 2003c:46034

Ciesielski, Zbigniew A look at bases in function spaces at the beginning of the XXI century.(English summary) 2003h:46037

De Pascale, Espedito (with Lewicki, Grzegorz; Marino, Giuseppe) Some conditions forcompactness in BC (Q) and their application to boundary value problems. (Englishsummary) 2003g:46025

Dong, Zu Yin see Zhou, Ji Dong

Fan, Ming Commutators in real interpolation with quasi-power parameters. (Englishsummary) 2003c:46035

Godefroy, Gilles Banach spaces of continuous functions on compact spaces.Grellier, Sandrine Hardy-Sobolev spaces of complex tangential derivatives of holomorphic

functions in domains of finite type. (English summary) 2003b:46028

Guo, Ji Dong see Lou, Zeng Jian et al., 2003m:46037

(Hedenmalm, Hakan) see Shimorin, SergeiHoffmann,Mark Robert The Banach envelope of Paley-Wiener type spaces. (English

summary) 2003i:46025

Imai, Ryuta The corona type decomposition of Hardy-Orlicz spaces. (English summary)Jarosz, Krzysztof (with Rao, T. S. S. R. K.) Local isometries of function spaces. (English


Kanjin, Yuichi (with Satake,M.) Inequalities for discrete Hardy spaces. (English summary)2003c:46036

(Korenblum, Boris) see Shimorin, SergeiLewicki, Grzegorz see De Pascale, Espedito et al., 2003g:46025Li, Zhao Hui see Zhang, Bin Wu et al., 2003k:46028Liu, Cong Wen (with Shi, Ji Huai; Ren, Guang Bin) Duality for harmonic mixed-norm

spaces in the unit ball of Rn. (English and French summaries) 2003g:46026Liu, Guan Ting The interpolation theorems of LBa

a (D) spaces. (Chinese. English andChinese summaries) 2003b:46029

Lou, Zeng Jian (with Guo, Ji Dong; Song, Dao Jin) Multipliers and cyclic vectors in Blochtype spaces. (English summary) 2003m:46037

Marco, Nicolas Generalized interpolation in the unit ball. (English summary) 2003a:46043

Marino, Giuseppe see De Pascale, Espedito et al., 2003g:46025Matsugu,Yasuo (with Miyazawa, Jun) A characterization of weightedBergman-Orlicz

spaces on the unit ball in Cn. (English summary) 2003m:46038Milman, Mario see Bastero, Jesus et al., 2003c:46033Miyachi,Akihiko Weighted Hardy spaces on a domain. (see 2003g:00024)Miyazawa, Jun see Matsugu,Yasuo, 2003m:46038

Mizuta, Yoshihiro Boundary limits of functions in weighted Lebesgue or Sobolev classes.(English summary) 2003c:46037

Nakai, Eiichi Hardy spaces and preduals of Campanato spaces. (Japanese)Niwa, Norio On norm-closed z-invariant subspaces ofH∞. (Japanese)Partington, JonathanR. see Chalendar, Isabelle, 2003c:46034Rao, T. S. S. R. K. see Jarosz, Krzysztof, 2003m:46036Ren, Guang Bin Harmonic Bergman spaces with small exponents in the unit ball. (English

summary) 2003b:46030see also Liu, Cong Wen et al., 2003g:46026

Ruiz Blasco, Francisco Jose see Bastero, Jesus et al., 2003c:46033Saito, Yoshimi see Bennewitz, Christer, 2003j:46028Satake,M. seeKanjin, Yuichi, 2003c:46036Shi, Ji Huai see Liu, Cong Wen et al., 2003g:46026Shimorin, Sergei A review of Theory of Bergman spaces [Springer, New York, 2000; MR

2001c:46043] by H. Hedenmalm, B. Korenblum and Z. Zhu. (Russian)Song, Dao Jin see Lou, Zeng Jian et al., 2003m:46037

Stray, Arne Simultaneous approximation in the Dirichlet space. 2003g:46027Vertesi, P. On an interpolatory inequality of Erdos and Turan and its application. (English

summary) 2003b:46031Yousefi, B. Interpolating sequence on certain Banach spaces of analytic functions. (English


Yu,Wei Hong2 see Zhang, Bin Wu et al., 2003k:46028Zhang, Bin Wu (with Li, Zhao Hui; Yu, Wei Hong2) Carleson measure and Carleson

measure in weighted Bergman spaces. (Chinese. English and Chinese summaries)2003k:46028

Zhou, Ji Dong (with Dong, Zu Yin) A necessary and sufficient condition for sequen-tial compactness of sets of Ck(M )-class functions. (Chinese. English and Chinese sum-maries)

(Zhu, Kehe) see Shimorin, Sergei


Adamczak,Marek Some remarks on almost periodic functions. (English summary)

2003m:42022

Akeroyd, John R. (with Alhami, Kifah) Overconvergence and cyclic vectors in Bergmanspaces. (English summary) 2003f:30046

A note concerning the index of the shift. (English summary) 2003c:30038Aleman, Alexandru (with Richter, Stefan; Sundberg, Carl) The majorization function and

the index of invariant subspaces in the Bergman spaces. (English summary) 2003g:30058Alhami, Kifah see Akeroyd, John R., 2003f:30046Arcozzi, Nicola (with Rochberg, Richard; Sawyer, Eric) Carleson measures for analytic

Besov spaces. (English summary) 2003j:30080

Argyros, Spiros A. (with Arvanitakis, Alexander D.) A characterization of regularaveraging operators and its consequences. (English summary) 2003e:54017

Arregui Casaus, Jose Luis see Blasco, Oscar, 2003m:42017Arvanitakis, AlexanderD. see Argyros, Spiros A., 2003e:54017Aulaskari, Rauno (with Girela, Daniel; Wulan, Hasi) Qp spaces, Hadamard products and

Carleson measures. (English summary) 2003e:30048

Bachir, Mohammed A non-convex analogue to Fenchel duality. (English summary)2003e:49050

Bayart, Frederic Hardy spaces of Dirichlet series and their composition operators. (Englishsummary) 2003i:42032

Similarity to an isometry of a composition operator. (English summary) 2003j:47040Beneker, Paul (with Wiegerinck, Jan) Exposedness in Hardy spaces of domains of finite

connectivity. (English summary) 2003e:30049Bernal-Gonzalez,Luis (with Calderon-Moreno, Marıa Del Carmen) Monsters in Hardy

and Bergman spaces. (English summary) 2003d:47045Bjorn, Anders Properties of removable singularities for Hardy spaces of analytic functions.

(English summary) 2003j:30049Blasco, Oscar (with Arregui Casaus, Jose Luis) Multipliers on vector valued Bergman

spaces. (English summary) 2003m:42017Borichev, A. A. On convolution equations with restrictions on supports. 2003i:47031

Bourdaud, Gerard Remarques sur certains sous-espaces de BMO(Rn) et de bmo(Rn).(English and French summaries) [Remarks on some subspaces of BMO(Rn) andbmo(Rn)] 2003f:42033

(with Lanza de Cristoforis, Massimo; Sickel, W.) Functional calculus on BMO andrelated spaces. (English summary) 2003c:47059

Calderon-Moreno,Marıa Del Carmen see Bernal-Gonzalez,Luis, 2003d:47045Castillo, Jesus M. Fdez. Wheeling around Sobczyk’s theorem. (English summary)

2003d:46026a

Chang, Chiu-Cheng A unified approach to uniqueness, expansion, approximation, andinterpolation problems. (English summary) 2003g:30065

Choi, Ki Seong Lipschitz type inequality in weightedBloch spaceBq . (English summary)2003b:32011

Claus, I. H. A. W. (with Dondergoor, D.; van Rooij, A. C. M.) M -seminorms on spaces ofcontinuous functions. (English summary) 2003c:46029

Dafni, Galia Local VMO and weak convergence in h1. (English summary) 2003d:42034


Ding, Yong (with Lu, Shan Zhen; Zhang, Pu2) Continuity of higher order commutators oncertain Hardy spaces. (English summary) 2003d:42035

Dondergoor, D. see Claus, I. H. A. W. et al., 2003c:46029Dubinskiı, Yuliı A. The general form of arbitrary linear functionals on the analytic Sobolev

spaces. 2003h:46046Duren, Peter L. (with Schuster, Alexander P.) Finite unions of interpolation sequences.

(English summary) 2003b:30068Ferguson, Sarah H. Higher-order Hankel forms and cohomology groups. (English


Galego, Eloi Medina On solutions to the Schroeder-Bernstein problem for Banach spaces.(English summary) 2003k:46009

Girela, Daniel see Aulaskari, Rauno et al., 2003e:30048Grellier, Sandrine (with Peloso, MarcoM.) Decomposition theorems for Hardy spaces on

convex domains of finite type. (English summary) 2003j:32004

Guo, Kunyu (with Zheng, Dechao) Invariant subspaces, quasi-invariant subspaces, andHankel operators. (English summary) 2003b:47050

Gurlebeck, Klaus On some weighted spaces of quaternion-valued functions. (Englishsummary) 2003g:30093On weighted spaces of monogenic quaternion-valued functions. (English summary)2003e:30071

Hajek, Petr1 Smooth norms on certain C (K) spaces. (English summary) 2003m:46013

He, Weixiang (with Jiang, Lijian) Composition operator on Bers-type spaces. (Englishsummary) 2003f:47040

Ho, Mark C. Operators on spaces of analytic functions belonging toL (1,∞). (Englishsummary) 2003b:47051

Ibadov, N. V. Convolution equations in spaces of functions of given increase near theboundary. II. Countable systems of inhomogeneous convolution equations. (English andArmenian summaries)

Jarchow, Hans (with Xiao, Jie1) Composition operators between Nevanlinna classes andBergman spaces with weights. (English summary) 2003d:47034

Jeang, Jyh-Shyang (with Wong, Ngai Ching) Isometric shifts on C0(X ). (Englishsummary) 2003h:47060

Jiang, Lijian see He, Weixiang, 2003f:47040Lanza de Cristoforis, Massimo see Bourdaud, Gerard et al., 2003c:47059Li, Chong1 On best uniform restricted range approximation in complex-valued continuous

function spaces. (English summary) 2003k:41023Li, Wen Ming1 On maximal function characterizations of H 1(Rn). (English and Chinese

summaries) 2003j:42021Interpolation spaces betweenH 1 and L∞ on spaces of homogeneous type. (Englishsummary) 2003j:46116

Liu, Cong Wen (with Shi, Ji Huai) Families of fractional-degreeCauchy-Stieltjes integralsin Cn. (Chinese. English and Chinese summaries) 2003g:32008

Liu, Yong-min Compact composition operators mapping into the E0(p, q) spaces. (Englishand Chinese summaries) 2003i:47024

Boundedness of the Bergman type operators on mixed norm spaces. (English summary)

FUNCTIONAL ANALYSIS46E15 2003 1204

2003a:47066

Lu, Shan Zhen see Ding, Yong et al., 2003d:42035Lu, Yu Feng Localization of Toeplitz operators on Bergman spaces. (English summary)

2003m:47047

MacCluer, Barbara D. (with Zhao, Ruhan) Vanishing logarithmic Carleson measures.(English summary) 2003h:30045

Matsugu,Yasuo (with Ueki, Sei-ichiro) Homomorphisms of Privalov spaces. (Japanese)(see 2003a:41001)

Mazaheri, H. A characterization of weakly-Chebyshev subspaces of Banach spaces.(English summary) 2003g:42023

Mehrpour,M. see Yousefi, B., 2003j:47042Meng,Hong Bing see Zhang, Bin Wu

Muller, Paul F. X. A simplification in the proof of the non-isomorphism betweenH 1(')andH 1('2). (English summary) 2003e:30050

Nakazi, Takahiko Interpolation problems by functions in Hardy spaces. (Japanese. Englishsummary)

Ochakovskaya,O. A. A new uniqueness theorem for functions with zero integrals over ballsof fixed radius. (Russian. Russian summary) 2003g:26017

Peloso, Marco M. see Grellier, Sandrine, 2003j:32004Perez-Gonzalez,Fernando2 (with Ramos, Julio C.) Dominating sets in weightedBergman

spaces. (Spanish. English summary) 2003a:30038Plichko, Anatoliı Examples of n-Sobczyk spaces. (English summary) 2003d:46026b

Poltoratskiı, A. G. Properties of exposed points in the unit ball of H 1. (English summary)2003a:30039

Popa, Irina Some remarks on spaces of matrix-valued analytic functions. (Englishsummary) 2003i:30079

Ramazanov, A.-R. K. On the structure of spaces of polyanalytic functions. (Russian.Russian summary) 2003m:30094

Ramos, Julio C. see Perez-Gonzalez, Fernando2, 2003a:30038Rao, Murali (with Vondracek, Zoran) Nonlinear potentials in function spaces. (English

summary) 2003c:31009Ren, Guang Bin (with Shi, Ji Huai) Sharp estimates in Bergman and Besov spaces on

bounded symmetric domains. (English summary) 2003h:32006

Richter, Stefan see Aleman, Alexandru et al., 2003g:30058Rochberg,Richard see Arcozzi, Nicola et al., 2003j:30080van Rooij, A. C. M. see Claus, I. H. A. W. et al., 2003c:46029Sawyer, Eric see Arcozzi, Nicola et al., 2003j:30080Schuster, Alexander P. see Duren, Peter L., 2003b:30068Shamoyan,R. F. On the coefficient multipliers of Bloch and Hardy spaces in a polydisk.

(Russian. Russian summary) 2003a:32005

Shapiro,Harold S. Spectral aspects of a class of differential operators. (English summary)2003i:47035

Shen, Yu Liang On some projection operators between function spaces. (English summary)2003k:30015

Shi, Ji Huai see Liu, Cong Wen, 2003g:32008;Ren, Guang Bin, 2003h:32006 and Zhou, Ze

Hua, 2003h:47048Sickel, W. see Bourdaud, Gerard et al., 2003c:47059Stevic, Stevo A note on weighted integrals of analytic functions. (English summary)

2003f:30044Cesaro averaging operators. (English summary) 2003k:47041

The generalized Libera transform on Hardy, Bergman and Bloch spaces on the unitpolydisc. (English summary) 2003k:47042

Sundberg,Carl see Aleman, Alexandru et al., 2003g:30058Swart, Johan1 see Diestel, Joe, 2003m:46001Tolsa, Xavier The spaceH 1 for nondoubling measures in terms of a grand maximal

operator. (English summary) 2003e:42030Ueki, Sei-ichiro see Matsugu, Yasuo, (2003a:41001)Vondracek, Zoran see Rao, Murali, 2003c:31009Vukotic, Dragan The isoperimetric inequality and a theorem of Hardy and Littlewood.Wang,Heng Geng (with Zhang, Song Yan; Wang, Yuan) Molecule decomposition of

Hardy spaces on exterior regular domains. (Chinese. English and Chinese summaries)Wang, Xiao Feng3 see Xu, An Jian, 2003j:47029Wang, Yuan see Wang, Heng Geng et al.

Weir, Rachel J. Canonical divisors in weighted Bergman spaces. (English summary)2003a:30041

Wiegerinck, Jan see Beneker, Paul, 2003e:30049Wong,Ngai Ching see Jeang, Jyh-Shyang,2003h:47060Wulan,Hasi see Aulaskari, Rauno et al., 2003e:30048Xiao, Jie1 see Jarchow, Hans, 2003d:47034Xu, An Jian (with Wang, Xiao Feng3) Orlicz-Bergman spaces and their composition

operators. (Chinese. English and Chinese summaries) 2003j:47029Yousefi, B. (with Mehrpour, M.) On the direct sum of multiplication operators on Banach

spaces of analytic functions. (English summary) 2003j:47042

Zhang, Bin Wu (with Meng, Hong Bing) Inequalities for the double Carleson measureand a description of the Carleson inverse inequality. (Chinese. English and Chinesesummaries)

Zhang, Pu2 see Ding, Yong et al., 2003d:42035Zhang, Song Yan see Wang, Heng Geng et al.

Zhao, Ruhan see MacCluer, Barbara D., 2003h:30045Zheng, Dechao see Guo, Kunyu, 2003b:47050Zheng, Lixin The essential norms and spectra of composition operators onH∞. (English

summary) 2003e:47052Zhou, Ze Hua (with Shi, Ji Huai) Compactness of composition operators on the Bloch

space in classical bounded symmetric domains. 2003h:47048

46E20 Hilbert spaces of continuous, differentiable or analyticfunctions

Burnol, Jean-Francois Sur les “espaces de Sonine” associes par de Branges a la transforma-tion de Fourier. (English and French summaries) [On the “Sonine spaces” associated by

de Branges to the Fourier transformation] 2003k:46029Cui, Ming Gen see Li, Chun Li, 2003f:46035 and Li, Yun Hui, 2003f:46036Dhompongsa, S. see Saejung, S., 2003j:46029Fedorov, Sergei On a recent result on the intersection of weighted Hardy spaces. (English

summary) 2003a:46044Hu, Peng Yan (with Shi, Ji Huai) Multipliers on Dirichlet type spaces [MR 2002c:46052].

(Chinese. English and Chinese summaries)Langer, Matthias (with Woracek, Harald) A characterization of intermediate Weyl

coefficients. (English summary) 2003g:46028Li, Chun Li (with Cui, Ming Gen) Exact solutions for a class of nonlinear integral

equations in a reproducing kernel space. (Chinese. English and Chinese summaries)2003f:46035

Li, Yun Hui (with Cui, Ming Gen) An extremumproblem for a functional in the reproduc-ing kernel spaceW 1

2 (R). (Chinese. English and Chinese summaries) 2003f:46036Saejung, S. (with Dhompongsa, S.) Extreme points in Musielak-Orlicz sequence spaces.


Seto, Michio Invariant subspaces on RN . (Japanese. Japanese summary)Shi, Ji Huai see Hu, Peng YanWoracek, Harald see Langer, Matthias, 2003g:46028


Aleman, Alexandru (with Richter, Stefan) Single point extremal functions in Bergman-typespaces. (English summary) 2003c:30036

Ball, Joseph A. (with Vinnikov, Victor) Hardy spaces on a finite bordered Riemannsurface, multivariable operator model theory and Fourier analysis along a unimodularcurve. 2003f:47016

Bittner, Kai (with Chui, Charles K.) Gabor frames with arbitrary windows. (Englishsummary) 2003h:42055

Carswell, Brent J. (with Duren, Peter L.; Stessin, Michael I.) Multiplication invariantsubspaces of the Bergman space. (English summary) 2003i:30051

Chartrand, Rick Toeplitz operators on Dirichlet-type spaces. (English summary)2003g:47046

Chui, Charles K. see Bittner, Kai, 2003h:42055Cichon, Dariusz Generalization of the Newman-Shapiro isometry theorem and Toeplitz

operators. II. (English summary) 2003b:47047Duren, Peter L. see Carswell, Brent J. et al., 2003i:30051Hardt, Robert (with Riviere, Tristan) Ensembles singuliers topologiques dans les espaces

fonctionnels entre varietes. [Topological singular sets in functional spaces betweenmanifolds] 2003h:58010

Putinar, Mihai (with Shapiro, Harold S.) The Friedrichs operator of a planar domain. II.(English summary) 2003e:47054

Richter, Stefan see Aleman, Alexandru, 2003c:30036Riviere, Tristan see Hardt, Robert, 2003h:58010Shapiro, Harold S. see Putinar, Mihai, 2003e:47054Stessin, Michael I. see Carswell, Brent J. et al., 2003i:30051Stroethoff, Karel (with Zheng, Dechao) Invertible Toeplitz products. (English summary)

2003g:47051Vasilevskiı, N. L. Bergman type spaces on the unit disk. (English summary) 2003a:30040

Vinnikov, Victor see Ball, Joseph A., 2003f:47016Zakariasy, Lova The rank of Hankel operators on harmonic Bergman spaces. (English


Zeriahi, Ahmed Comportement asymptotique des systemes doublement orthogonauxde Bergman: une approche elementaire. (English summary) [Asymptotic behavior ofBergman doubly orthogonal systems: an elementary approach] 2003g:32010

Zheng, Dechao see Stroethoff,Karel, 2003g:47051

46E22 Hilbert spaces with reproducing kernels (= [proper]functional Hilbert spaces, including de Branges-Rovnyakand other structured spaces) [see also 47B32]

Begehr, Heinrich G. W. Orthogonal decompositions of the function space L2(D ;C).(English summary) 2003f:46037

Chen, Xiaoman (with Guo, Kunyu; Hou, Shen Zhao) Analytic Hilbert spaces over thecomplex plane. (English summary) 2003f:46038

Crasnaru, Octavian Hilbert spaces insideH 2d . 2003c:46038

Fricain, Emmanuel Bases of reproducing kernels in model spaces. (English summary)2003b:46033

Completude des noyaux reproduisants dans les espaces modeles. (English and Frenchsummaries) [Completeness of reproducing kernels in model spaces] 2003g:46029

Greene, Devin C. V. (with Richter, Stefan; Sundberg, Carl) The structure of innermultipliers on spaces with complete Nevanlinna-Pick kernels. (English summary)2003h:46038

Guo, Kunyu see Chen, Xiaoman et al., 2003f:46038Hou, Shen Zhao see Chen, Xiaoman et al., 2003f:46038Lyubarskii, Yurii I. (with Seip, Kristian) Weighted Paley-Wiener spaces. 2003m:46039Pu, An Shan (with Qu, Su Rong) Construction of multi-dimensional reproducing kernel

spaces. (Chinese. English and Chinese summaries)Qu, Su Rong see Pu, An Shan

Richter, Stefan see Greene, Devin C. V. et al., 2003h:46038Seip, Kristian see Lyubarskii, Yurii I., 2003m:46039Sundberg, Carl see Greene, Devin C. V. et al., 2003h:46038


Agler, Jim (with McCarthy, John E.) Pick interpolation and Hilbert function spaces.(English summary) 2003b:47001

Alpay, Daniel (with Dijksma, Aad; Rovnyak, James) Un theoreme de type Beurling-Laxdans la boule unite. (English and French summaries) [A Beurling-Lax type theorem inthe unit ball] 2003a:47023

(with Vinnikov, Victor) Finite dimensional de Branges spaces on Riemann surfaces.(English summary) 2003f:47038


(with Dubi, C.) Caratheodory-Fejer interpolation in the ball. (English summary)2003h:47026

Arazy, Jonathan (with Upmeier, Harald) Invariant symbolic calculi and eigenvalues ofinvariant operators on symmetric domains. (English summary) 2003k:32031

Boe, Bjarte Interpolating sequences for Besov spaces. (English summary) 2003h:46044

Bolotnikov, Vladimir A boundary Nevanlinna-Pickproblem for a class of analyticmatrix-valued functions in the unit ball. (English summary) 2003f:47026

(with Rodman, Leiba) Finite dimensional backward shift invariant subspaces ofArveson spaces. (English summary) 2003g:47042Interpolation for multipliers on reproducing kernel Hilbert spaces. (English summary)2003m:47023

Constantinescu, Tiberiu (with Gheondea, Aurelian) Representations of Hermitian kernelsby means of Krein spaces. II. Invariant kernels. (English summary) 2003b:47032

Deng, Cai Xia see Ma, Xiao Jian et al.

Deng, Zhong Xing see Ma, Xiao Jian et al.

Dijksma, Aad see Alpay, Daniel et al., 2003a:47023Douglas, Ronald G. (with Misra, Gadadhar) On quotient modules. (English summary)

2003c:46022

(with Misra, Gadadhar; Varughese, Cherian) Some geometric invariants fromresolutions of Hilbert modules. 2003d:46058

Dubi, C. see Alpay, Daniel, 2003h:47026Dym, Harry On Riccati equations and reproducing kernel spaces. (English summary)

2003d:47016

Gheondea,Aurelian see Constantinescu, Tiberiu, 2003b:47032Jakobsson, Stefan The harmonic Bergman kernel and the Friedrichs operator. (English


Jorgensen, Palle E. T. Diagonalizing operators with reflection symmetry. (Englishsummary) 2003e:47069

Kaptanoglu,H. Turgay Besov spaces and Bergman projections on the ball. (English andFrench summaries) 2003k:46038

Liu, Zhen Jie The best approximating functional in the reproducing kernel spaceWm2 [a, b].

(Chinese. English and Chinese summaries)Luger, Annemarie A factorization of regular generalized Nevanlinna functions. (English

summary) 2003d:47015

Ma, Xiao Jian (with Deng, Zhong Xing; Deng, Cai Xia) The best operator of interpo-lation in the reproducing kernel space H [0, a]⊗H [0, b]. (Chinese. English and Chinesesummaries)

McCarthy, John E. see Agler, Jim, 2003b:47001McCullough, Scott (with Richter, Stefan) Bergman-type reproducing kernels, contractive

divisors, and dilations. (English summary) 2003c:47043Mendelson,Shahar Learnability in Hilbert spaces with reproducing kernels. (English


Misra, Gadadhar see Douglas, Ronald G. et al., 2003c:46022 and 2003d:46058Oliveira e Silva, Jorge-Nuno see Sarason, Donald, 2003m:47043

Ortega-Cerda, Joaquim (with Seip, Kristian) Fourier frames. (English summary)2003k:42055

Remling, Christian Schrodinger operators and de Branges spaces. (English summary)2003j:47055

Richter, Stefan see McCullough,Scott, 2003c:47043Rodman, Leiba see Bolotnikov, Vladimir, 2003g:47042Rovnyak, James see Alpay, Daniel et al., 2003a:47023Sarason, Donald (with Oliveira e Silva, Jorge-Nuno) Composition operators on a local

Dirichlet space. 2003m:47043

Seip, Kristian see Ortega-Cerda, Joaquim, 2003k:42055Shimorin, Sergei Complete Nevanlinna-Pick property of Dirichlet-type spaces. (English


Upmeier, Harald see Arazy, Jonathan,2003k:32031Vaezpour, S. M. On the commutant of certain multiplication operators. (English summary)

2003f:47055Varughese, Cherian see Douglas, Ronald G. et al., 2003d:46058Vasilevskiı, N. L. Toeplitz operators on the Bergman spaces: inside-the-domain effects.

2003a:47061Vinnikov, Victor see Alpay, Daniel, 2003f:47038Zhou, Ding-Xuan The covering number in learning theory. (English summary)

2003k:68095

46E25 Rings and algebras of continuous, differentiable oranalytic functions For Banach function algebras, see46J10, 46J15.

Ferrando, Juan Carlos (with Lopez Pellicer, M.) Complemented copies of c0 in C0(Ω).(English and Spanish summaries) 2003e:46033

Kundu, Subiman (with Raha, A. B.) The Stone-Weierstrass theorem and Dini’s theorem: aninsight. (English summary) 2003a:46045

Lopez Pellicer, M. see Ferrando, Juan Carlos, 2003e:46033Raha, A. B. see Kundu, Subiman, 2003a:46045


Font, Juan J. (with Sanchis, Manuel) A characterization of locally compact spaces withhomeomorphic one-point compactifications. (English summary) 2003f:54056

Glockner, Helge Algebras whose groups of units are Lie groups. (English summary)2003j:46066

Henriksen, M. (with Raphael, R.; Woods, R. G.) A minimal regular ring extension ofC (X ). (English summary) 2003d:54033

Li, Bao Qin (with Villamor, Enrique) Interpolation in the unit ball of Cn. (Englishsummary) 2003a:32018

Manhas, J. S. see Singh, Raj Kishor, 2003a:47052O’Farrell, A. G. (with Sanabria-Garcıa,M. A.) Pervasive algebras of analytic functions on

Riemann surfaces. (English summary) 2003g:30079

Raphael, R. see Henriksen, M. et al., 2003d:54033Sanabria-Garcıa,M. A. see O’Farrell, A. G., 2003g:30079Sanchis,Manuel see Font, Juan J., 2003f:54056Singh, Raj Kishor (with Manhas, J. S.) Invertibility and compactness of weighted

composition operations on some weighted spaces of continuous functions. (Englishsummary) 2003a:47052

Villamor, Enrique see Li, Bao Qin, 2003a:32018Woods, R. G. see Henriksen, M. et al., 2003d:54033

46E27 Spaces of measures [see also 28A33, 46Gxx]

Shortt, R. M. A base space approach to weak topologies and sequential compactness forspaces of vector measures. (English summary) 2003f:46039



Florescu, Liviu C. Compacity in narrow limit tower spaces. (English summary)2003f:54068

Siggini, Kenny Koffi Sur la compacite des multimesures. I. (English and French summaries)[Compactness of set-valued measures. I] 2003e:28036

Swart, Johan1 see Diestel, Joe, 2003m:46001

Zaitov, A. A. Some properties of weakly additive functionals and of measures withalternating signs. (Russian. English and Uzbek summaries) 2003j:28012

46E30 Spaces of measurable functions (Lp-spaces, Orlicz spaces,Kothe function spaces, Lorentz spaces, rearrangementinvariant spaces, ideal spaces, etc.)

Aganin, A. I. On necessary and sufficient conditions for the embedding of Nikol′skiı classesfrom Lorentz spaces. (Russian. English and Russian summaries) 2003b:46034

Akishev, G. A. On some theorems for the Price system. (Russian) 2003f:46040Barcenas, Diomedes (with Echandıa, Ventura) On non-reflexive subspaces of Orlicz spaces.


Berezhnoı, E. I. A correction theorem for anisotropic spaces. (Russian. Russian summary)2003a:46046

Bilalov, B. T. Necessary condition of basisity of power system in Lp. (English andAzerbaijani summaries) 2003c:46039

Boccuto, Antonio (with Bukhvalov, A. V.; Sambucini, Anna Rita) Some inequalities inclassical spaces with mixed norms. (English summary) 2003m:46040

Bukhvalov, A. V. see Boccuto, Antonio et al., 2003m:46040

Carro, Marıa J. (with Martın, Joaquim) On embedding properties of some extrapolationspaces. (English summary) 2003i:46026


Cruz-Uribe, David (with Krbec, Miroslav) Localization and extrapolation in Orlicz-Lorentz spaces. (English summary) 2003j:46030

Cui, Yun An (with Hudzik, Henryk) Orlicz spaces which are noncreasy. (Englishsummary) 2003c:46040see also Chen, Shu Tao et al., 2003e:46034;Yu, Fei Fei, 2003e:46043 and Li, Xinghua,2003m:46044

Curbera, Guillermo P. (with Rodin, Vladimir A.) Multiplication operators on the space ofRademacher series in rearrangement invariant spaces. (English summary) 2003h:46039

Cwikel, Michael (with Kozlov, Inna) Interpolation of weightedL1 spaces—a new proof ofthe Sedaev-Semenov theorem. (English summary) 2003j:46031

Dilworth, S. J. (with Kutzarova, Denka; Troyanski, S. L.) On some uniform geometricproperties in function spaces. (English summary) 2003e:46035

Dodds, P. G. (with Semenov, E. M.; Sukochev, F. A.; Franchetti, Carlo) The Banach-Saksproperty for function spaces. (Russian) 2003g:46030

(with Semenov, E. M.; Sukochev, F. A.) RUC systems in rearrangement invariant spaces.(English summary) 2003f:46041

Echandıa, Ventura see Barcenas, Diomedes, 2003b:46035Edmunds, David E. (with Krbec, Miroslav) Decomposition and Moser’s lemma. (English


(with Opic, Bohumır) Equivalent quasi-norms on Lorentz spaces. (English summary)2003i:46027

Feichtinger, Hans G. (with Zimmermann, Georg) An exotic minimal Banach space offunctions. (English summary) 2003e:46037

Figiel, Tadeusz (with Wojtaszczyk, P.) Special bases in function spaces. (English summary)2003b:46036

(with Kalton, Nigel J.) Symmetric linear functionals on function spaces. (Englishsummary) 2003i:46028

Filippov, V. I. Linear continuous functionals and representation of functions by series in thespaces Eϕ . (English and Russian summaries) 2003b:46037

Fiorenza, Alberto (with Krbec, Miroslav) On an optimal decomposition in Zygmundspaces. (English summary) 2003e:46038

Franchetti, Carlo see Dodds, P. G. et al., 2003g:46030and Semenov, E. M., 2003m:46045

Galperin, Yevgeniy V. (with Grochenig, Karlheinz) Uncertainty principles as embeddingsof modulation spaces. (English summary) 2003h:46040

Gogatishvili, Amiran (with Sobukawa, Takuya) On the extrapolation estimates. (Englishsummary) 2003k:46030

Grochenig, Karlheinz see Galperin, Yevgeniy V., 2003h:46040Ha Huy Bang (with Mai Thi Thu) A Landau-Kolmogorov inequality for Orlicz spaces.


Han, Jing (with Li, Xiu Lin2) Exact value of the sphere-packing constant in a class ofOrlicz function spaces. (Chinese. English and Chinese summaries) 2003j:46032

Hernandez,Francisco L. see Novikov, S. Ya. et al., 2003b:46038Hudzik, Henryk (with Maligranda, Lech) Amemiya norm equals Orlicz norm in general.



(with Liu, Xin Bo; Wang, Ting Fu) Points of monotonicity in Musielak-Orlicz functionspaces endowed with the Orlicz norm. (English summary) 2003d:46033

see also Cui, Yun An, 2003c:46040 and Chen, Shu Tao et al., 2003e:46034Hussein, Deeb seeKhandaqji,M. et al., 2003m:46042Johnson,William B. (with Schechtman, Gideon) Finite dimensional subspaces of Lp.

(English summary) 2003c:46041Kalton, Nigel J. see Figiel, Tadeusz, 2003i:46028Kaminska, Anna (with Maligranda, Lech; Persson, Lars Erik) Indices, convexity and

concavity of Calderon-Lozanovskii spaces. (English summary) 2003m:46041

Khalil, Roshdi see Khandaqji,M. et al., 2003m:46042Khandaqji,M. (with Khalil, Roshdi; Hussein, Deeb) Proximinality in Orlicz-Bochner

function spaces. (English summary) 2003m:46042Kislyakov, S. V. On BMO-regular lattices of measurable functions. (Russian) 2003m:46043

Kleper, Dvir (with Schechtman, Gideon) Block bases of the Haar system as complementedsubspaces of Lp, 2< p<∞. (English summary) 2003k:46031

Klimov, V. S. (with Panasenko, E. S.) Functional inequalities and relative capacities.(Russian. Russian summary) 2003g:46031

Kolwicz, Paweł P-convexity of generalized Calderon-Lozanowskiı spaces of Bochner type.(English summary) 2003d:46034Orthogonal uniform convexity in Kothe spaces and Orlicz spaces. (English summary)2003i:46029

Kozlov, Inna see Cwikel, Michael, 2003j:46031Krbec, Miroslav see Edmunds, David E., 2003e:46036;Fiorenza, Alberto, 2003e:46038 and

Cruz-Uribe, David, 2003j:46030Kutzarova, Denka see Dilworth, S. J. et al., 2003e:46035Li, Bao Lin The compactness of a new function space. (Chinese. English and Chinese

summaries) 2003f:46042Li, Jun see Yu, Fei Fei, 2003g:46032Li, Xinghua (with Cui, Yun An) Compact midpoint local uniform convexity in Orlicz

spaces. (English summary) 2003m:46044

Li, Xiu Lin2 see Han, Jing, 2003j:46032Liu, Hong-yu (with Liu, Xin Bo; Wang, Ting Fu) MBSP and CBSP of Orlicz functional

spaces. (English and Chinese summaries) 2003d:46035Liu, Xin Bo see Hudzik, Henryk et al., 2003d:46033 and Liu, Hong-yu et al., 2003d:46035Lopes Filho, Milton C. (with Nussenzveig Lopes, Helena J.) Pointwise blow-up of

sequences bounded in L1. (English summary) 2003a:46047

Mai Thi Thu see Ha Huy Bang, 2003h:46041Maligranda,Lech see Hudzik, Henryk, 2003e:46039 and Kaminska, Anna et al.,

2003m:46041Martın, Joaquim see Carro, Marıa J., 2003i:46026Mazzone,Fernando On the structure of the set of best ‖ · ‖Φ-approximants. (English


Nekvinda, Ales Equivalence of lpn norms and shift operators. (English summary)2003j:46034

Novikov, S. Ya. (with Semenov, E. M.; Hernandez, Francisco L.) Strictly singularembeddings. (Russian) 2003b:46038

Nussenzveig Lopes, Helena J. see Lopes Filho, Milton C., 2003a:46047Opic, Bohumır see Edmunds, David E., 2003i:46027Ovchinnikov, Vladimir I. (with Titenkov, A. S.) A criterion for the contiguity of quasicon-

cave functions. (Russian. Russian summary) 2003b:46039

Interpolation orbits in couples of Lp spaces. (English and French summaries)2003c:46042

Panasenko, E. S. see Klimov, V. S., 2003g:46031Persson, Lars Erik see Kaminska, Anna et al., 2003m:46041

Pustylnik, Evgenii Some extensions of optimal interpolation in spaces of Lorentz-Zygmundtype. (English summary) 2003e:46040

Rakotoson, Jean Michel Some new applications of the pointwise relations for the relativerearrangement. (English summary) 2003c:46043


Ren, Z. D. see Rao, MalempatiMadhusudana,2003e:46041Rodin, Vladimir A. see Curbera, Guillermo P., 2003h:46039Sagher, Y. (with Shvartsman, Pavel) Rearrangement-function inequalities and interpola-

tion theory. (English summary) 2003k:46032

Sambucini, Anna Rita see Boccuto, Antonio et al., 2003m:46040Schechtman,Gideon see Johnson,William B., 2003c:46041 and Kleper, Dvir, 2003k:46031Semenov, E. M. (with Franchetti, Carlo) Orthogonal subspaces of rearrangement-

invariant spaces. (Russian) 2003m:46045

see also Novikov, S. Ya. et al., 2003b:46038;Dodds, P. G. et al., 2003f:46041 and2003g:46030

Shvartsman, Pavel see Sagher, Y., 2003k:46032Sinnamon,Gord Embeddings of concave functions and duals of Lorentz spaces. (English

summary) 2003h:46042Sobukawa, Takuya see Gogatishvili, Amiran, 2003k:46030Sukochev,F. A. see Dodds, P. G. et al., 2003f:46041and 2003g:46030Titenkov, A. S. see Ovchinnikov, Vladimir I., 2003b:46039Troyanski, S. L. see Dilworth, S. J. et al., 2003e:46035Wang, Jincai Sequentially compact sets in a class of generalized Orlicz spaces. (English

summary) 2003e:46042Wang, Ting Fu see Hudzik, Henryk et al., 2003d:46033;Liu, Hong-yu et al., 2003d:46035

and Chen, Shu Tao et al., 2003e:46034Wisła, Marek Closedness of the set of extreme points in Orlicz spaces with Orlicz norm.

(English summary) 2003d:46036Wojtaszczyk, P. see Figiel, Tadeusz, 2003b:46036Yamada,Masahiro Carleson inequalities in weighted harmonic Bergman spaces, 0< p ≤ 1.

(English summary)Yan, Ya Qiang On the nonsquare constants of L(Φ)[0,+∞). (English summary)

2003k:46033

On the nonsquare constants of Orlicz spaces with Orlicz norm. (English summary)2003j:46035

Yu, Fei Fei (with Li, Jun) w∗-smooth points in Musielak-Orlicz spaces. (Chinese. Englishand Chinese summaries) 2003g:46032

(with Cui, Yun An) The Opial property in measure in Orlicz function spaces. (Chinese.English and Chinese summaries) 2003e:46043

Zimmermann, Georg see Feichtinger, Hans G., 2003e:46037


Aimar, Hugo (with Harboure, Eleonor; Iaffei, Bibiana) Boundedness of convolutionoperators with smooth kernels on Orlicz spaces. (English summary) 2003f:47050

Aıssaoui, Noureddine Strongly nonlinear potential theory of metric spaces. (Englishsummary) 2003j:31016Maximal operators, Lebesgue points and quasicontinuity in strongly nonlinear potentialtheory. (English summary) 2003k:31008

Aldroubi, Akram (with Sun, Qiyu) Locally finite dimensional shift-invariant spaces in Rd .(English summary) 2003d:42049


Alspach, Dale (with Odell, Edward) Lp spaces. 2003b:46013Bedouhene, F. see Morsli, M. et al., 2003h:42014Benth, Fred Espen On weightedL2(Ω)-spaces, their duals and Ito integration. (English


Berezhnoı, E. I. (with Novikov, A. V.) On the halo problem in the theory of differentiationof integrals. (Russian. Russian summary) 2003k:26008

Besov, K. O. On the continuity of the generalized Nemytskiı operator in spaces ofdifferentiable functions. (Russian. Russian summary) 2003g:47110

Bilalov, B. T. Bases in Lp from exponents, cosines and sines. (English and Azerbaijanisummaries) 2003m:42014

Boulahia, F. see Morsli, M. et al., 2003h:42014Brudnyı, A. Yu. On a BMO-property for subharmonic functions. (English summary)

2003h:31001

Burnecki, M. (with Grzaslewicz, R.) Strict convexity and doubly stochastic operators.(English summary) 2003b:47062

Buse, Constantin (with Dragomir, Sever Silvestru) A theorem of Rolewicz’s type in solidfunction spaces. (English summary) 2003a:47088

Chalmers, Bruce L. (with Shekhtman, Boris) On spaces admitting minimal projectionswhich are orthogonal. (English summary) 2003f:41045


(with Płuciennik, R.) A note onH -points in Kothe-Bochner spaces. (English summary)2003d:46046

Cheng, Raymond (with Miamee, A. G.; Pourahmadi, Mohsen) On the geometry of Lp()with applications to infinite variance processes. (English summary) 2003m:60103

Cuenya,Hector (with Rodriguez, C. N.) Rational approximation in Lϕ spaces on a finiteunion of disjoint intervals. (English summary) 2003j:41013

Cui, Yun An see Chen, Shu Tao et al., 2003f:46031Curbera, Guillermo P. (with Rodin, Vladimir A.) Multipliers on the set of Rademacher

series in symmetric spaces. (Russian) 2003i:42017

(with Ricker, Werner J.) Optimal domains for kernel operators via interpolation.(English summary) 2003g:47045

Dai, Xing De (with Diao, Yuanan; Gu, Qing1) Subspaces with normalized tight framewavelets in R. (English summary) 2003b:42050

Dechevsky, Lubomir T. (with Dubuc, Serge) Multidimensional dyadic iterative interpola-tion and Fourier multipliers on Lebesgue spaces. (English summary) 2003h:42023

Diao, Yuanan see Dai, Xing De et al., 2003b:42050Diestel, Joe (with Fourie, Jan H.; Swart, Johan1) The metric theory of tensor products

(Grothendieck’s resume revisited). IV. The role of C (K)-spaces and L1-spaces. (Englishsummary) 2003j:46112d


Djumabayeva, D. G. (with Nursultanov, E. D.) On the convergence of double Fourierseries of functions in Lp[0, 1]

2, where p = (p1, p2). (English and Russian summaries)2003e:42018

Dragomir, Sever Silvestru see Buse, Constantin, 2003a:47088Drewnowski, Lech (with Labuda, Iwo) Topological vector spaces of Bochner measurable

functions. (English summary) 2003j:46058

Dubuc, Serge see Dechevsky, Lubomir T., 2003h:42023Edmunds, David E. (with Nekvinda, Ales) Averaging operators on lpn and Lp(x).

(English summary) 2003a:47064(with Meskhi, A. N.) Potential-type operators in Lp(x) spaces. (English summary)2003h:47087

Episkoposian, S. A. see Grigoryan,M. G., 2003b:42045Fan, Xian-Ling (with Zhao, Dun) On the spaces Lp(x)(Ω) andWm,p(x)(Ω). (English


Fiorenza, Alberto (with Krbec, Miroslav) On some fundamental properties of the maximaloperator. (see 2003m:46002)

Flores, Julio A note on regular isomorphisms between L2-spaces. (English summary)2003j:46023

Florescu, Liviu C. Extensions of Fatou’s inequality. (English summary) 2003c:28003

Fourie, Jan H. see Diestel, Joe et al., 2003j:46112dGaposhkin, V. F. On the maximal quadratic function for power-bounded operators in Lp.

(Russian) 2003a:47021


Gatzouras, Dimitrios On images of Borel measures under Borel mappings. (Englishsummary) 2003d:28018

Giao, HuynhMong see Ha Huy Bang, 2003i:26014Gilbert, J. E. (with Han, Yong Sheng1; Hogan, J. A.; Lakey, J. D.; Weiland, D.; Weiss,

Guido) Smooth molecular decompositions of functions and singular integral operators.(English summary) 2003f:42026

Grigoryan, M. G. (with Episkoposian, S. A.) Representation of functions in the weightedspace L1

by trigonometric and Walsh series. (English and Russian summaries)


2003b:42045

Grzaslewicz, R. see Burnecki, M., 2003b:47062Gu, Qing1 see Dai, Xing De et al., 2003b:42050Gubreev, G. M. (with Tarasenko, A. A.) Unconditional basis property for some families

of functions and continuous invertibility of Toeplitz operators with unimodular symbols.(English summary) 2003h:47051

Ha Huy Bang An inequality of Bohr and Favard for Orlicz spaces. (English summary)2003a:26015

(with Giao, Huynh Mong) On the Kolmogorov inequality forMΦ-norm. (Englishsummary) 2003i:26014

Han, Yong Sheng1 see Gilbert, J. E. et al., 2003f:42026Harboure, Eleonor (with Salinas, O.; Viviani, B.) Orlicz boundedness for certain classical

operators. (English summary) 2003b:47083

see also Aimar, Hugo et al., 2003f:47050Hare, Kathryn E. (with Sato, Enji) Spaces of Lorentz multipliers. (English summary)

2003c:43004

Heinich,Henri Probleme de Monge pour n probabilites. (English and French summaries)[Monge problem for n probabilities] 2003d:60032

Hogan, J. A. see Gilbert, J. E. et al., 2003f:42026Hudzik,Henryk see Chen, Shu Tao et al., 2003f:46031Iaffei, Bibiana see Aimar, Hugo et al., 2003f:47050Kaijser, Sten (with Sunehag, Peter) Interpolation of subspaces and the unit problem.

(English summary) 2003k:46106

Kananthai, A. (with Musarleen, M.; Sanhan, Winate; Suantai, Suthep) On property (H)and rotundity of difference sequence spaces. (English summary) 2003i:46019

Kapanadze,E. Wavelet bases properties in some function spaces.Khan,Mushir A. see Mursaleen et al., 2003e:46009Kislyakov, S. V. Banach spaces and classical harmonic analysis. (English summary)

2003d:46021

Kita, Hiroo A reverse weighted inequality for the Hardy-Littlewoodmaximal function inOrlicz spaces. (English summary) 2003m:42037

Kokilashvili,Vakhtang (with Meskhi, A. N.) Criteria for the boundedness and compact-ness of operators with power-logarithmic kernels. (English and Russian summaries)2003e:47085

Korotkov, V. B. Integral operators and systems of absolute convergence. (Russian. Russiansummary) 2003e:47086

Krbec, Miroslav see Fiorenza, Alberto, (2003m:46002)Kudaıbergenov, K. K. Choquet’s theorem for measures with values in the ring of measurable

functions. (Russian. English and Uzbek summaries) 2003m:46029Kuhn, Thomas Compact embeddings of Besov spaces in exponential Orlicz spaces. (English

summary) 2003j:46049Kurokawa, Takahide On the closure of the Lizorkin space in spaces of Beppo Levi type.

(English summary) 2003g:46034Labuda, Iwo see Drewnowski, Lech, 2003j:46058Lakey, J. D. see Gilbert, J. E. et al., 2003f:42026Lepsveridze, G. (with Mchedlishvili, D.) On the growth order of integralmeans functions

from LΦ(L)(Rn).Liskowski, Marian Integral of function with values in complete modular space. (English

summary) 2003c:46057Liu, San Yang (with Sheng, Bao Huai) The inverse theorems for modified higher order

Hermite interpolation and Hermite-Fejer interpolation in Lpw spaces. (English and

Chinese summaries) 2003j:41002Liu, Xin Bo see Wang, Ting Fu, 2003h:46028Lopez Molina, J. A. (with Puerta, M. E.; Rivera Ortun, Marıa Jose) On the structure of

ultraproducts of real interpolation spaces. 2003f:46116

Lopushanskiı, O. V. (with Lozins′ka, V. Ya.) Analytic distributions of exponential type.(Ukrainian. English, Russian and Ukrainian summaries) 2003j:46060

Lozins′ka, V. Ya. see Lopushanskiı, O. V., 2003j:46060Luther, U. see Almira, Jose Marıa, 2003i:41042Mchedlishvili,D. see Lepsveridze, G.

Mehemmed, Ali A. An application of Kwapien’s theorem to the investigation of thestructure of L0-space. (English summary) 2003e:46002

Meskhi, A. N. see Kokilashvili, Vakhtang, 2003e:47085 and Edmunds, David E.,2003h:47087

Miamee, A. G. see Cheng, Raymond et al., 2003m:60103Montgomery-Smith,Stephen Rearrangement invariant norms of symmetric sequence

norms of independent sequences of random variables. (English summary) 2003m:46014Morsli, M. (with Bedouhene, F.; Boulahia, F.) Duality properties and Riesz representation

theorem in the Besicovitch-Orlicz space of almost periodic functions. (English summary)2003h:42014

Murakami, Riichiro Composition operators on Riesz space. (English summary)2003c:47071

Mursaleen (with Khan, Mushir A.; Qamaruddin) Some difference sequence spaces definedby Orlicz functions. (English summary) 2003e:46009

Musarleen,M. see Kananthai,A. et al., 2003i:46019Musielak, Julian Approximation by a nonlinear convolution operator in s-normed function

spaces. (English summary) 2003a:41022

Nakai, Eiichi In generalized fractional integrals in the Orlicz spaces. (see 2003g:00024)On generalized fractional integrals on the weak Orlicz spaces, BMOϕ , the Morrey spacesand the Campanato spaces. (English summary) 2003k:26014

Nekvinda, Ales see Edmunds, David E., 2003a:47064Neves, J. S. Lorentz-Karamata spaces, Bessel and Riesz potentials and embeddings.


Nillsen, Rodney (with Okada, Susumu) Function spaces and multiplier operators.2003d:43008

Novikov, A. V. see Berezhnoı, E. I., 2003k:26008Nursultanov, E. D. see Djumabayeva, D. G., 2003e:42018Odell, Edward see Alspach, Dale, 2003b:46013Okada, Susumu see Nillsen, Rodney, 2003d:43008Piccinini, Laurent On best approximation in L1

E . (English summary) (see 2003a:00031)

Płuciennik, R. see Chen, Shu Tao, 2003d:46046Pompe, Waldemar Unconditional biorthogonal wavelet bases in Lp(Rd ). (English

summary) 2003c:42038Pourahmadi, Mohsen seeCheng, Raymond et al., 2003m:60103

Puerta, M. E. see Lopez Molina, J. A. et al., 2003f:46116Qamaruddin see Mursaleen et al., 2003e:46009Rakotoson, Jean Michel General pointwise relations for the relative rearrangement and

applications. (English summary) 2003e:35124Randrianantoanina,Beata Norm-one projections in Banach spaces. (English summary)

2003d:46001Rhoades, Billy E. see Savas, Ekrem, 2003d:46011Ricker, Werner J. see Curbera, Guillermo P., 2003g:47045Rivera Ortun, Marıa Jose see Lopez Molina, J. A. et al., 2003f:46116Rodin, Vladimir A. see Curbera, Guillermo P., 2003i:42017Rodionov, T. V. Analogues of the Hausdorff-Young and Hardy-Littlewood theorems.

(Russian. Russian summary) 2003f:42042Rodriguez, C. N. see Cuenya,Hector, 2003j:41013Rzaev, R. M. John-Nirenberg’s theorem for the high order mean oscillation and its

applications. (English and Azerbaijani summaries) 2003a:42016

Salinas, O. see Harboure, Eleonor et al., 2003b:47083Sanchez Perez, Enrique A. Convexity and polynomial equations in Banach spaces with the

Radon-Nikodym property. (English summary) 2003e:46069

Compactness arguments for spaces of p-integrable functions with respect to a vectormeasure and factorization of operators through Lebesgue-Bochner spaces. (Englishsummary) 2003d:46055

Sanhan,Winate see Kananthai, A. et al., 2003i:46019Sato, Enji see Hare, Kathryn E., 2003c:43004Sato, Ryotaro A general differentiation theorem for multiparameter additive processes.


Savas, Ekrem (with Rhoades, Billy E.) On some new sequence spaces of invariant meansdefined by Orlicz functions. (English summary) 2003d:46011

Sedletskiı, A. M. Bases of exponentials in the spaces Lp(−6, 6). (Russian. Russiansummary) 2003m:42049

Shekhtman, Boris see Chalmers, Bruce L., 2003f:41045Sheng, Bao Huai see Liu, San Yang, 2003j:41002Sims, Brailey see Chen, Shu Tao et al., 2003f:46031Stempak, Krzysztof Transferring Fourier multipliers on admissible spaces. (English

summary) 2003e:42021Stepanets, Aleksandr Ivanovich Approximation characteristics of the spaces Sp . (Russian.

Russian summary) 2003c:41036

Suantai, Suthep see Kananthai,A. et al., 2003i:46019Sun, Qiyu see Aldroubi, Akram, 2003d:42049Sunehag, Peter see Kaijser, Sten, 2003k:46106Swart, Johan1 see Diestel, Joe et al., 2003j:46112dTarasenko, A. A. see Gubreev, G. M., 2003h:47051Trombetta, Alessandro (with Trombetta, Giulio) On the existence of (p) k-set contractive

retractions in Lp[0, 1] spaces, 1≤ p <∞. (English summary) 2003g:47092

Trombetta, Giulio see Trombetta, Alessandro, 2003g:47092Trujillo-Gonzalez, Rodrigo Two-weight norm inequalities for fractionalmaximal operators

on spaces of generalized homogeneous type. (English summary) 2003a:42028

Vakarchuk, S. B. On K -functionals and exact values of n-widths of some classes in thespaces C (26) and L1(26). (Russian. Russian summary) 2003d:41026

Vath, Martin Riesz spaces and ideals of measurable functions. 2003j:28015Vestfrid, I. A. Isometric embedding of some metric spaces in lp-spaces. (English and

Ukrainian summaries) 2003b:54035

Viviani, B. see Harboure, Eleonor et al., 2003b:47083Wang, Ting Fu (with Liu, Xin Bo) Monotone points of Musielak-Orlicz sequence spaces

with Orlicz norm. (Chinese. English and Chinese summaries) 2003h:46028

Wang, Xiao Feng3 see Xu, An Jian, 2003j:47029Weiland, D. see Gilbert, J. E. et al., 2003f:42026Weiss, Guido see Gilbert, J. E. et al., 2003f:42026Wu, Zhengchang The shift-invariant subspaces in L1(R)1. (English summary) 2003h:42035

Xu, An Jian (with Wang, Xiao Feng3) Orlicz-Bergman spaces and their compositionoperators. (Chinese. English and Chinese summaries) 2003j:47029

Yan, Ya Qiang Riesz angles of Orlicz sequence spaces. (English summary) 2003e:46028

WCS coefficients in Orlicz sequence spaces. (English summary) 2003i:46020Yoneda, Kaoru A survey of control functions for almost everywhere convergence.Zhang, Xiao Dong3 An extension theorem for sequentially smooth functionals and

extension theorems for measures. (English summary) 2003a:46015Zhao, Dun see Fan, Xian-Ling, 2003a:46051Zhao, Ruhan An exponential decay characterization of BMOA on Riemann surfaces.

(English summary) 2003g:30080

Zink, Robert E. On the Gram-Schmidt orthonormalizations of subsystems of Schaudersystems. (English summary) 2003c:42028

46E35 Sobolev spaces and other spaces of “smooth” functions,embedding theorems, trace theorems

Adams, David R. (with Hurri-Syrjanen, Ritva) Capacity estimates. (English summary)2003k:46034

Adimurthi Hardy-Sobolev inequality inH 1(Ω) and its applications. (English summary)2003e:46044

Aıssaoui, Noureddine Capacitary type estimates in strongly nonlinear potential theory andapplications. (English summary) 2003j:46036Weighted strongly nonlinear potential theory. (English summary) 2003j:46037

Aıtenova, M. S. On the asymptotics of the approximation numbers of the embeddingoperator of two-weight Sobolev spaces. (Russian. English, Russian and Kazakhsummaries) 2003h:46043

Akhmedov, M. A. On the imbedding and compactness theorems for anisotropic weightSobolev spaces. (English and Azerbaijani summaries) 2003f:46043


Aliev, Ilham A. (with Bayrakci, Simten) On inversion of Bessel potentials associated withthe Laplace-Bessel differential operator. (English summary) 2003e:46045

Alvarez, Venancio (with Pestana, Domingo; Rodrıguez Garcia, Jose Manuel; Romera,Elena) Weighted Sobolev spaces on curves. (English summary) 2003j:46038

Anghel, Paul see Ispas, Mihai, 2003b:46041Bagdasaryan, A. G. Interpolation and traces of functions from some spaces of Sobolev-

Liouville type. (Russian. English and Russian summaries) 2003m:46046Bak, Jong-Guk (with Shkalikov, A. A.) Multipliers in dual Sobolev spaces and

Schrodinger operators with distribution potentials. (Russian. Russian summary)2003i:46030

Bandaliev,R. A. Weighted imbedding theorems for anisotropic Banach-valued Sobolevspaces. (English and Azerbaijani summaries) 2003c:46044see also Guliev, Vagif S., 2003k:46037

Bansal, Bindu see Jain, Pankaj2 et al., 2003j:46046and 2003m:46054

Bayrakci, Simten see Aliev, IlhamA., 2003e:46045Begehr, Heinrich G. W. (with Dubinskiı, Yuliı A.) Orthogonal decompositions of Sobolev

spaces in Clifford analysis. (English summary) 2003d:46037Besov, O. V. Spaces of functions of fractional smoothness on an irregular domain.

(Russian) 2003f:46044

Betancor, Jorge J. (with Mendez Perez, Jose Manuel; Rodrıguez-Mesa, Lourdes) Besovspaces associated with the Hankel transform. (Spanish. English summary) 2003a:46048

Boe, Bjarte Interpolating sequences for Besov spaces. (English summary) 2003h:46044Bojarski, Bogdan (with Hajłasz, Piotr; Strzelecki, Paweł) Improved Ck, approximation of

higher order Sobolev functions in norm and capacity. (English summary) 2003d:46038

Bongiorno,Donatella A regularity condition in Sobolev spacesW1,ploc (R

n) with 1≤ p < n.(English summary) 2003j:46039

Bourgain, Jean (with Brezis, Haım R.; Mironescu, Petru) Limiting embedding theoremsforWs,p when s ↑ 1 and applications. 2003k:46035

Brezis, Haım R. How to recognize constant functions. A connection with Sobolev spaces.(Russian. Russian summary) 2003m:46047see also Bourgain, Jean et al., 2003k:46035

Burenkov, V. I. Extension theorems for Sobolev and more general spaces for degenerateopen sets. (see 2003f:00023)

Cavaliere, Paola (with Di Gironimo, Patrizia; Transirico, Maria) Embedding andcompactness theorems for irregular domains. (English and Italian summaries)2003h:46045

Chen, Shu Tao (with Hu, Chang Ying; Zhao, Charles Xuejin) Extreme points androtundity of Orlicz-Sobolev spaces. (English summary) 2003i:46031

Chuvenkov, A. F. Imbedding theorems in Sobolev-Orlicz spaces. (see 2003f:00023)Cohn,William S. (with Lu, Guo Zhen) Best constants for Moser-Trudinger inequalities on

the Heisenberg group. (English summary) 2003i:46032(with Lu, Guo Zhen) Best constants for Moser-Trudinger inequalities, fundamentalsolutions and one-parameter representation formulas on groups of Heisenberg type.(English summary) 2003e:46046

Cruz-Baez, Domingo Israel (with Rodrıguez Exposito, Jose) Generalized Bessel potentials.(Spanish. English summary) 2003a:46049

Dachkovski, Serguei Anisotropic function spaces and related semi-linear hypoellipticequations. (English summary) 2003j:46040

Davila, J. On an open question about functions of bounded variation. 2003m:46048

Di Fazio, Giuseppe (with Zamboni, Pietro) A Fefferman-Poincare type inequality forCarnot-Caratheodory vector fields. (English summary) 2003a:46050

Di Gironimo, Patrizia seeCavaliere, Paola et al., 2003h:46045Ding, Shu Sen (with Gai, Yun Ying) Ar-weighted Poincare-type inequalities for differential

forms in some domains [MR 2002b:46053].(Chinese. English and Chinese summaries)Dorfler, Monika (with Feichtinger, Hans G.; Grochenig, Karlheinz) Compactness criteria

in function spaces. (English summary) 2003j:46041Drihem, D. (with Moussai, Madani) Some embeddings into the multiplier spaces

associated to Besov and Lizorkin-Triebel spaces. (English summary) 2003d:46039

Dubinskiı, Yuliı A. The general form of arbitrary linear functionals on the analytic Sobolevspaces. 2003h:46046

see also Begehr, Heinrich G. W., 2003d:46037D′yakonov, E. G. Extension theorems for energy spaces on composite manifolds and their

applications in the theory of stationary ill-posed problems. (Russian) 2003j:46042Dzhabrailov, A. D. (with Maıorova, I. V.) The properties of traces of functions on the

boundary of a surface. (English and Azerbaijani summaries) 2003e:46047Edmunds, David E. (with Hurri-Syrjanen, Ritva) Necessary conditions for Poincare

domains. (English summary) 2003d:46040(with Rakosnık, Jirı) Sobolev embeddings with variable exponent. II. (Englishsummary) 2003m:46049

Fan, Xian-Ling (with Zhao, Dun) On the spaces Lp(x)(Ω) andWm,p(x)(Ω). (Englishsummary) 2003a:46051

Fedotov, I. Diffraction problems and the extension of Hs -functions. (English summary)2003e:46048

Feichtinger, Hans G. see Dorfler, Monika et al., 2003j:46041FernandezBonder, Julian (with Rossi, Julio Daniel) Asymptotic behavior of the best

Sobolev trace constant in expanding and contracting domains. (English summary)2003h:46047

Filippas,Stathis (with Tertikas, Achilles) Optimizing improved Hardy inequalities.(English summary) 2003f:46045

Fukushima,Masatoshi (with Uemura, Toshihiro) On Sobolev and capacitary inequalitiesfor contractiveBesov spaces over d -sets. (English summary) 2003k:46036

Futamura, Toshihide (with Mizuta, Yoshihiro) Existence of functions in weighted Sobolevspaces. (English summary) 2003h:46048

Gai, Yun Ying see Ding, Shu Sen

Gale, Jose E. On Besov spaces defined by Riesz means. (Spanish. English summary)2003f:46046

Garakhanova, N. N. Sobolev type theorems for Bk,n-Riesz potentials. (English andAzerbaijani summaries) 2003d:46041

Gheorghe, Liliana Gabriela Interpolation of Besov spaces and applications. (Englishsummary) 2003h:46049

Girardi, Maria (with Weis, Lutz) Operator-valuedFourier multiplier theorems on Besovspaces. (English summary) 2003m:46050

Gol′dshtein, Vladimir (with Troyanov, Marc) Axiomatic Sobolev spaces on metric spaces.(English summary) 2003m:46051

Griepentrog, Jens A. (with Groger, K.; Kaiser, H.-Chr.; Rehberg, J.) Interpolationfor function spaces related to mixed boundary value problems. (English summary)2003b:46040

Grillo, Gabriele Hardy and Rellich-type inequalities for metrics defined by vector fields.(English summary) 2003j:46043

Grochenig, Karlheinz see Dorfler, Monika et al., 2003j:46041Groger, K. see Griepentrog, Jens A. et al., 2003b:46040Gui, Yiqing (with Lu, Shan Zhen; Yang, Da Chun1) Besov spaces B

α,pp on domains and

Laplace operators. (English summary) 2003h:46050

Guliev, Vagif S. (with Safarov, Z. V.) Bk,n-Bessel potentials and certain imbeddingtheorems in Bk,n-Sobolev-Liouville spaces. (English and Azerbaijani summaries)2003f:46047

(with Bandaliev, R. A.) Weighted imbedding theorems for anisotropic Sobolev spaces.(English and Azerbaijani summaries) 2003k:46037

Guseınov, S. T. On a theorem of embedding with weight. (Russian and Azerbaijanisummaries) 2003d:46042

Hajłasz, Piotr Sobolev inequalities, truncation method, and John domains. 2003a:46052(with Maly, Jan) Approximation in Sobolev spaces of nonlinear expressions involvingthe gradient. (English summary) 2003m:46052see also Bojarski, Bogdan et al., 2003d:46038

Han, Yong Sheng1 (with Yang, Da Chun1) New characterizations and applications ofinhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces andfractals. (English summary) 2003h:46051(with Lin, Chin-Cheng) Embedding theorem on spaces of homogeneous type. (Englishsummary) 2003e:46049

Harjulehto, Petteri Sobolev extension domains on metric spaces of homogeneous type.(English summary) 2003j:46044

Hoang Mai Le A note on the property of infinitely differentiable functions. (Englishsummary) 2003i:46033

Hochmuth, Reinhard A Besov space mapping property for the double layer potential onpolygons. (English summary) 2003j:46045

Hu, Chang Ying see Chen, Shu Tao et al., 2003i:46031Hu, Jiaxin A note on Hajłasz-Sobolev spaces on fractals. (English summary) 2003m:46053Hudson, Steve (with Leckband, Mark) Extremals for a Moser-Jodeit exponential

inequality. (English summary) 2003g:46033Hurri-Syrjanen, Ritva see Edmunds, David E., 2003d:46040 and Adams, David R.,

2003k:46034Ispas, Mihai (with Anghel, Paul) Inequalities concerning intermediate derivatives. (English

and Romanian summaries) 2003b:46041Jain, Pankaj2 (with Bansal, Bindu; Jain, PawanKumar) Certain imbeddings of Sobolev

spaces with power type weights. (English summary) 2003m:46054(with Bansal, Bindu; Jain, PawanKumar) Certain imbeddings of weighted Sobolevspaces. (English summary) 2003j:46046

Jain, Pawan Kumar Various aspects of Sobolev spaces—in particular—imbeddings.see also Jain, Pankaj2 et al., 2003j:46046 and 2003m:46054

Jia, Hou Yu see Wang, Heng Geng, 2003j:46055Jiang, Hui Kun (with Lin, Chin-Cheng) Refined Besov spaces. (Chinese. English and

Chinese summaries) 2003b:46042

Kaiser, H.-Chr. see Griepentrog, Jens A. et al., 2003b:46040Kałamajska, Agnieszka On constants in the pointwise one-dimensional multiplicative

inequalities. (English summary) 2003m:46055


Karasev, Denis N. Lp →Lq-estimates for some potential-type operators with oscillatingkernels. (English summary) 2003h:46052

(with Nogin, Vladimir A.) Description of the ranges of some potential-type operatorswith oscillating kernels in the non-elliptic case. (English summary) 2003h:46053

(with Nogin, Vladimir A.) Lp–Lq estimates for the Bochner-Riesz operator of complexorder. (English summary) 2003j:46047

Kateb, Djalil On the boundedness of the mapping f → |f |, > 1 on Besov spaces.(English summary) 2003j:46048

Kinnunen, Juha (with Martio, Olli) Choquet property for the Sobolev capacity in metricspaces. (English summary) 2003c:46045

Koskela, Pekka (with Onninen, Jani; Tyson, Jeremy T.) Quasihyperbolic boundaryconditions and Poincare domains. (English summary) 2003h:46054

Kudryavtsev, N. L. Fractional differences and Lizorkin-Triebel spaces. (Russian. Russiansummary) 2003i:46034

Kuhn, Thomas Compact embeddings of Besov spaces in exponential Orlicz spaces. (Englishsummary) 2003j:46049

Kurokawa, Takahide On the closure of the Lizorkin space in spaces of Beppo Levi type.(English summary) 2003g:46034

Lascialfari, Francesca (with Pardo, David) Compact embedding of a degenerate Sobolevspace and existence of entire solutions to a semilinear equation for a Grushin-typeoperator. (English summary) 2003i:46035

Latvala, Visa On Lebesgue points of functions in the Sobolev classW 1,N . (Englishsummary) 2003e:46050

Leckband, Mark see Hudson, Steve, 2003g:46033Lifanov, I. K. (with Poltavskiı, L. N.) Pseudodifference operators and uniform convergence

of difference relations. (Russian. Russian summary) 2003j:46050Lin, Chin-Cheng see Jiang,Hui Kun, 2003b:46042 and Han, Yong Sheng1, 2003e:46049Liu, Bing2 Ar (Ω)-weighted imbedding inequalities for A-harmonic tensors. (English


Liu, Yongping (with Lu, Guo Zhen; Wheeden, Richard L.) Some equivalent definitionsof high order Sobolev spaces on stratified groups and generalizations to metric spaces.(English summary) 2003f:46048

Lu, Guo Zhen (with Perez Moreno, Carlos) L1 →Lq Poincare inequalities for 0< q < 1


imply representation formulas. (English summary) 2003d:46043

see also Cohn,William S., 2003e:46046;2003i:46032 and Liu, Yongping et al., 2003f:46048Lu, Shan Zhen see Gui, Yiqing et al., 2003h:46050

Luh, Lin-Tian The embedding theory of native spaces. (English summary) 2003d:46044

Lukes, Jaroslav (with Maly, Jan; Netuka, Ivan; Smrcka, M.; Spurny, J.) On approximationof affine Baire-one functions. (English summary) 2003m:46056

MacManus,Paul (with Perez Moreno, Carlos) Trudinger inequalities without derivatives.(English summary) 2003e:46051

Maıorova, I. V. see Dzhabrailov, A. D., 2003e:46047Malaksiano,N. A. The precise embeddings of one-dimensional Muckenhoupt classes in

Gehring classes. (English summary) 2003f:46049

Maly, Jan (with Pick, Lubos) The sharp Riesz potential estimates in metric spaces.(English summary) 2003d:46045

see also Hajłasz, Piotr, 2003m:46052and Lukes, Jaroslav et al., 2003m:46056

Mamedov, F. I. Poincare type weight inequalities in domains with an isoperimetric typecondition. (English and Azerbaijani summaries) 2003k:46039

Martio, Olli see Kinnunen, Juha, 2003c:46045

Matveev,O. V. Bases in Sobolev spaces on bounded domains with a Lipschitz boundary.(Russian. Russian summary) 2003k:46040

Maz′ya,Vladimir G. (with Shaposhnikova, Tat′yana) On the Bourgain, Brezis, andMironescu theorem concerning limiting embeddings of fractional Sobolev spaces.(English summary) 2003j:46051

(with Shaposhnikova, Tat′yana) On the Brezis and Mironescu conjecture concerninga Gagliardo-Nirenberg inequality for fractional Sobolev norms. (English and Frenchsummaries) 2003j:46052

(with Shaposhnikova, Tat′yana) Erratum to: “On the Bourgain, Brezis and Mironescutheorem concerning limiting embeddings of fractional Sobolev spaces” [J. Funct. Anal.195 (2002), no. 2, 230–238;MR 2003j:46051].

Mazzucato, Anna L. Besov-Morrey spaces: function space theory and applications to non-linear PDE. (English summary) 2003j:46053

Mendez Perez, Jose Manuel see Betancor, Jorge J. et al., 2003a:46048Mironescu, Petru see Bourgain, Jean et al., 2003k:46035Mitrea, Dorina (with Mitrea, Marius) Sharp Hodge decompositions in two and three

dimensional Lipschitz domains. (English and French summaries) 2003b:46043

Mitrea, Marius see Mitrea, Dorina, 2003b:46043Mizuta, Yoshihiro (with Shimomura, Tetsu) Continuity and differentiability for weighted

Sobolev spaces. (English summary) 2003f:46050

see also Futamura, Toshihide, 2003h:46048Monti, Roberto (with Morbidelli, Daniele) Trace theorems for vector fields. (English


Morbidelli, Daniele see Monti, Roberto, 2003c:46046Morosi, Carlo (with Pizzocchero, Livio) On the constants for some Sobolev imbeddings.


(with Pizzocchero, Livio) On the constants in some inequalities for the Sobolev normsand pointwise product. (English summary) 2003g:46035

Moussai,Madani see Drihem, D., 2003d:46039

Najafov, A. M. The imbedding theorems for the space of Besov-Morrey type withdominant mixed derivatives. (English and Azerbaijani summaries) 2003b:46044

The imbedding theorems in the Lizorkin-Triebel-Morrey type space with dominantmixed derivatives. (English and Azerbaijani summaries) 2003c:46047

An interpolation theorem for Besov-Morrey spaces with dominating mixed derivatives.(Russian. English and Azerbaijani summaries)

Netuka, Ivan see Lukes, Jaroslav et al., 2003m:46056

Neves, J. S. Lorentz-Karamata spaces, Bessel and Riesz potentials and embeddings.(English summary) 2003f:46051

Nogin, Vladimir A. (with Samko, Stefan G.) Inversion and characterization of Rieszpotentials in weighted spaces via approximative inverse operators. (English and Georgiansummaries) 2003k:46041

see also Karasev, Denis N., 2003h:46053 and 2003j:46047

Onninen, Jani seeKoskela, Pekka et al., 2003h:46054Osilenker, Boris P. Symmetric Legendre-Sobolev polynomials in Pontryagin-Sobolev

spaces. (Russian. English, Russian and Ukrainian summaries) 2003g:46036

Pardo, David see Lascialfari, Francesca, 2003i:46035Pełczynski, Aleksander (with Wojciechowski, Michał) Sobolev spaces in several vari-

ables in L1-type norms are not isomorphic to Banach lattices. (English summary)2003m:46057

Perez Moreno, Carlos see Lu, Guo Zhen, 2003d:46043 and MacManus, Paul, 2003e:46051Pestana, Domingo see Alvarez, Venancio et al., 2003j:46038

Pick, Lubos Optimal Sobolev embeddings—old and new. (English summary) 2003j:46054

see also Maly, Jan, 2003d:46045Pizzocchero, Livio see Morosi, Carlo, 2003a:46053and 2003g:46035

Poltavskiı, L. N. see Lifanov, I. K., 2003j:46050Pugachev, O. V. On the closability of classical Dirichlet forms in the plane. (Russian)

2003b:46045

Rakosnık, Jirı see Edmunds, David E., 2003m:46049

Ramazanov,M. D. Theorems on traces and extensions. (Russian) 2003g:46037

Rehberg, J. see Griepentrog, Jens A. et al., 2003b:46040RodrıguezExposito, Jose see Cruz-Baez, Domingo Israel, 2003a:46049RodrıguezGarcia, Jose Manuel see Alvarez, Venancio et al., 2003j:46038Rodrıguez-Mesa,Lourdes see Betancor, Jorge J. et al., 2003a:46048

Romera, Elena see Alvarez, Venancio et al., 2003j:46038Rossi, Julio Daniel see FernandezBonder, Julian, 2003h:46047Safarov, Z. V. see Guliev, Vagif S., 2003f:46047Saloff-Coste,Laurent Aspects of Sobolev-type inequalities. (English summary)

2003c:46048

Samko, Stefan G. see Nogin, Vladimir A., 2003k:46041Shaposhnikova,Tat′yana see Maz′ya, Vladimir G., 2003j:46051 and 2003j:46052

Shimomura, Tetsu see Mizuta, Yoshihiro, 2003f:46050Shkalikov, A. A. see Bak, Jong-Guk, 2003i:46030

Sikhov, M. B. On necessary conditions for the embedding of Eϕ,p() into Hk+,q. (Russian.

English, Russian and Kazakh summaries) 2003b:46046

Skrzypczak, Leszek Besov spaces and Hausdorff dimension for some Carnot-Caratheodorymetric spaces. (English summary) 2003h:46055

Smrcka, M. see Lukes, Jaroslav et al., 2003m:46056Spurny, J. see Lukes, Jaroslav et al., 2003m:46056

Strichartz, Robert S. Function spaces on fractals. (English summary) 2003m:46058Strzelecki, Paweł see Bojarski, Bogdan et al., 2003d:46038Sun, Jiong see Wang, Wan Yi

Tambaca, Josip Estimates of the Sobolev norm of a product of two functions. (Englishsummary) 2003a:46054

Tertikas, Achilles see Filippas, Stathis, 2003f:46045Transirico, Maria see Cavaliere, Paola et al., 2003h:46045Triebel, Hans Function spaces in Lipschitz domains and on Lipschitz manifolds.

Characteristic functions as pointwise multipliers. (English summary) 2003m:46059

Troyanov, Marc see Gol′dshtein, Vladimir, 2003m:46051

Tyson, Jeremy T. see Koskela, Pekka et al., 2003h:46054Uemura, Toshihiro see Fukushima,Masatoshi, 2003k:46036Wamon, Francois Espaces de Sobolev et equations hyperboliques sur des varietes

riemanniennes. (English and French summaries) [Sobolev spaces and hyperbolicequations on Riemannian manifolds] 2003i:46037

Wang, Heng Geng (with Jia, Hou Yu) Atomic decomposition and restriction theorems ofBesov spaces on domains. (Chinese. English and Chinese summaries) 2003j:46055

Wang, Wan Yi (with Sun, Jiong) Weighted Friedrichs inequalities. (Chinese. English andChinese summaries)

Watanabe,Hisako Estimates of the Besov norms on fractal lateral boundary by volumeintegrals. (English summary) 2003f:46052

Parabolic extensions of lateral functions with a cylindrical domain that has a fractallateral boundary.

Weis, Lutz see Girardi, Maria, 2003m:46050

Wheeden, Richard L. see Liu, Yongping et al., 2003f:46048Wojciechowski, Michał see Pełczynski, Aleksander, 2003m:46057

Xu, Jing Shi Some equivalent quasi-norms in the Herz-type Triebel-Lizorkin spaces.(Chinese. English and Chinese summaries) 2003m:46060

Yang, Da Chun1 Frame characterizationsof Besov and Triebel-Lizorkin spaces on spaces ofhomogeneous type and their applications. (English summary) 2003k:46042

Embedding theorems of Besov and Triebel-Lizorkin spaces on spaces of homogeneoustype. (English summary) 2003m:46061

see also Gui, Yiqing et al., 2003h:46050 and Han, Yong Sheng1, 2003h:46051Zajaczkowski, WojciechM. On imbedding theorems for weighted anisotropic Sobolev

spaces. (English summary) 2003f:46053Zamboni, Pietro see Di Fazio, Giuseppe, 2003a:46050Zarubin, M. M. Исследование вложении параметрически нормированных

функциональных пространств со степенным весом. (Russian. Russian summary)[Investigation of embeddings of parametrically normed function spaces with powerweight] 2003e:46052

Zhao, Charles Xuejin see Chen, Shu Tao et al., 2003i:46031Zhao, Dun see Fan, Xian-Ling, 2003a:46051Zubrinic, Darko Singular sets of Sobolev functions. (English and French summaries)

2003c:46049


Aganin, A. I. On necessary and sufficient conditions for the embedding of Nikol′skiı classesfrom Lorentz spaces. (Russian. English and Russian summaries) 2003b:46034

Aıssaoui, Noureddine Strongly nonlinear potential theory of metric spaces. (Englishsummary) 2003j:31016

Aliev, Ilham A. (with Eryigit, Melih) Inversion of Bessel potentials with the aid of weightedwavelet transforms. (English summary) 2003e:42045

Alvarez, Venancio (with Pestana, Domingo; Rodrıguez Garcia, Jose Manuel; Romera,Elena) Approximation theory for weighted Sobolev spaces on curves. (Englishsummary) 2003c:42002

see also Rodriguez, Jose M. et al., 2003h:42034Ambrosio, Luigi Fine properties of sets of finite perimeter in doubling metric measure

spaces. (English summary) 2003i:28002

Arcozzi, Nicola (with Rochberg, Richard; Sawyer, Eric) Carleson measures for analyticBesov spaces. (English summary) 2003j:30080

Aslanov, Gamidulla I. Partial operator-differential equations in spaces of type S. (Englishand Azerbaijani summaries) 2003k:47064

Atkin, C. J. Extension of smooth functions in infinite dimensions. II. Manifolds. (Englishsummary) 2003a:46107

Aubin, Thierry Best inequalities of Sobolev type on complete Riemannian manifolds.(English and Polish summaries) 2003a:58054

Best inequalities of Sobolev type on complete Riemannian manifolds. 2003h:58028

Baldi, Annalisa (with Franchi, Bruno; Lu, Guo Zhen) An existence result for a class ofsemilinear subelliptic PDE’s. (English summary) 2003d:35045

Balogh, Zoltan M. (with Tyson, Jeremy T.) Polar coordinates in Carnot groups. (Englishsummary) 2003k:22012

Bandaliev, R. A. Imbedding theorems for anisotropic Banach-valued Sobolev spaces.(English and Azerbaijani summaries) 2003j:46056

Banerji, P. K. (with Loonker, Deshna) An extension of Sobolev spaces to the Mellintransform. (English summary) 2003k:46049

Bentaleb, Abdellatif L’hypercontractivite des semi-groupes de Gegenbauermultidimensionnels—famille d’inegalites sur le cercle. (English and French sum-maries) [Hypercontractivity of multidimensional Gegenbauer semigroups—family ofinequalities on the circle] 2003i:60132

Boe, Bjarte A norm on the holomorphic Besov space. (English summary) 2003g:46024

Bouchitte, Guy (with Fonseca, Irene; Leoni, Giovanni; Mascarenhas, Maria Luisa) Aglobal method for relaxation inW 1,p and in SBVp. (English summary) 2003i:49018

Brudnyı, Yu. A. Nonlinear piecewise polynomial approximation of functions from Besovspaces. (English summary) 2003j:41004


Canale, Anna (with Caso, Loredana; Transirico, Maria) Bounds for weak solutions ofelliptic equations in weighted spaces. (English summary) 2003j:35052

Capitanelli,Raffaela Nonlinear energy forms on certain fractal curves. (English summary)2003d:47085

Carro, Marıa J. (with Martın, Joaquim) Extrapolation theory for the real interpolationmethod. (English summary) 2003g:46082

Carron, Gilles Formes harmoniques L2 sur les varietes non-compactes. (English summary)[L2-harmonic forms on noncompact manifolds] 2003d:58003

Caso, Loredana see Canale, Anna et al., 2003j:35052Catalano,Fabio On a model connected with the Kirchhoff equation. (English summary)

2003b:35141

Chabrowski, Jan (with Girao, Pedro M.) The nonlinear Neumann problem and sharpweighted Sobolev inequalities. (English summary) 2003c:35027

Chen, Shu Tao (with Hu, Chang Ying) Extreme points and rotundity of the Luxemburgnorm in Orlicz-Sobolev spaces. (Chinese. English and Chinese summaries)

Cınar, Inan The capacity of regions in which nondifferentiable of generalized Rieszpotentials. (English summary) 2003m:31007

Cui, Ming Gen see Li, Chun Li, 2003f:46035 and Li, Yun Hui, 2003f:46036Curbera, Guillermo P. (with Rodin, Vladimir A.) Multipliers on the set of Rademacher

series in symmetric spaces. (Russian) 2003i:42017

Curgus, Branko (with Read, Thomas T.) Discreteness of the spectrum of second-order differential operators and associated embedding theorems. (English summary)2003g:47078

Dindos, Martin (with Mitrea, Marius) Semilinear Poisson problems in Sobolev-Besovspaces on Lipschitz domains. (English summary) 2003g:35061

Ding, Shu Sen (with Nolder, Craig A.) Weighted Poincare inequalities for solutions to A-harmonic equations. (English summary) 2003m:35069

Dinh Dung Non-linearN -term approximations of smooth functions using waveletdecompositions. (English summary) 2003c:41025

Dolbeault, Jean see del Pino, Manuel A., 2003a:35096 and 2003h:35051

Domanov, I. Yu. (with Malamud, M. M.) On lattices of invariant and hyperinvariantsubspaces of the operators Jα ⊗ B in Sobolev spaces. (Russian. Russian summary)2003f:47009

Drozhzhinov, Yu. N. (with Zav′yalov, B. I.) Tauberian-type theorems for generalizedfunctions in the scale of self-similar functionals. (Russian) 2003e:46057

(with Zav′yalov, B. I.) Tauberian theorems for generalized functions with values inBanach spaces. (Russian. Russian summary) 2003k:46044

Druet, Olivier (with Hebey, Emmanuel) Asymptotics for sharp Sobolev-Poincareinequalities on compact Riemannian manifolds. (English summary) 2003i:58045

Optimal Sobolev inequalities and extremal functions. The three-dimensional case.(English summary) 2003b:58032

(with Hebey, Emmanuel) The AB program in geometric analysis: sharp Sobolevinequalities and related problems. (English summary) 2003m:58028

Du, Ying Fang see Xu, Gui Qiao et al.Elshobaky, E. see Faragallah,M., 2003d:47046Eridani On the boundedness of a generalized fractional integral on generalizedMorrey

spaces. (English summary) 2003j:42011

Eryigit,Melih see Aliev, Ilham A., 2003e:42045Faget, Zoe Best constants in Sobolev inequalities on Riemannian manifolds in the presence

of symmetries. (English summary) 2003g:58054

Fang, Gen Sun (with Ye, Pei Xin) Adaptive widths of the approximation functional on theSobolev spaceWr

2 with Gaussian measure. (English summary) 2003i:41034

Faragallah,M. (with Elshobaky, E.) On Fourier coefficients and factorable operators.(English summary) 2003d:47046

FernandezBonder, Julian (with Rossi, Julio Daniel) A nonlinear eigenvalue problemwith indefinite weights related to the Sobolev trace embedding. (English summary)2003g:35171

Fleckinger, Jacqueline (with Takac, Peter) An improved Poincare inequality and the p-Laplacian at resonance for p > 2. (English summary) 2003h:35072

Fonseca, Irene see Bouchitte, Guy et al., 2003i:49018Franchi, Bruno (with Serapioni, Raul; Serra Cassano, Francesco) Rectifiability and

perimeter in the Heisenberg group. (English summary) 2003g:49062see also Baldi, Annalisa et al., 2003d:35045

Futamura, Toshihide (with Mizuta, Yoshihiro; Shimomura, Tetsu) Lindelof type theoremsfor monotone Sobolev functions on half spaces. (English summary)

Gamidov, E. G. see Mirzoev, S. S., 2003e:35307Garcıa del Amo, A. (with Maldonado, M.; Prada Blanco, Julia) A note about a theorem by

L. Hormander. (English and Spanish summaries) 2003e:46061

Garrigos, Gustavo (with Tabacco Vignati, Anita) Wavelet decompositions of anisotropicBesov spaces. (English summary) 2003d:42054

Girao, Pedro M. see Chabrowski, Jan, 2003c:35027Goginava,Ushangi On the embedding of classesH and V [v(n)] in the class BV(p(n) ↑

∞).Gol′dshtein, Vladimir (with Troyanov, Marc) Capacities in metric spaces. (English


Grafakos, Loukas (with Torres, Rodolfo H.) A multilinear Schur test and multiplieroperators. (English summary) 2003c:47046

Grellier, Sandrine Hardy-Sobolev spaces of complex tangential derivatives of holomorphicfunctions in domains of finite type. (English summary) 2003b:46028

Griepentrog, Jens A. Linear elliptic boundary value problems with non-smooth data:Campanato spaces of functionals. (English summary) 2003f:35061

Harjulehto,Petteri Maximal inequality in (s, m)-uniform domains. (English summary)2003f:42032

Hebey, Emmanuel seeDruet, Olivier, 2003i:58045 and 2003m:58028

Hedberg, Lars Inge Stability of Sobolev spaces with zero boundary values. (see2003m:46002)

Hernandez,Francisco L. see Novikov, S. Ya. et al., 2003b:46038Hochmuth, Reinhard n-term approximation in anisotropic function spaces. (English


Hu, Chang Ying see Chen, Shu Tao

Ivanov, Sergei A. see Vlasov, Viktor Valentinovich,2003i:34151Iwaniec, Tadeusz (with Onninen, Jani) H 1-estimates of Jacobians by subdeterminants.


Jain, Pankaj2 (with Lukkassen, Dag; Persson, Lars Erik; Svanstedt, Nils) Imbeddings ofanisotropic Orlicz-Sobolev spaces and applications. 2003h:49014

Jiang, Yanjie Optimal recovery of anisotropic Besov-Wiener classes. (English and Russiansummaries) 2003f:42034

Kałamajska, Agnieszka A remark on Kolmogorov’s theorem. (English summary)2003i:42028

Kapanadze,David Pseudo-differential equations in anisotropic weightedBessel potentialspaces with asymptotics. (English and Georgian summaries) 2003g:35236

Khatamov, A. On polynomial and rational approximations of functions in Orlicz-Besovspaces. (Russian. English and Uzbek summaries)

Konovalov, V. N. (with Leviatan, D.) Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. II. (English summary) 2003e:41041(with Leviatan, D.) Kolmogorov and linear widths of weighted Sobolev-type classes on afinite interval. (English summary) 2003j:41039Approximation of Sobolev classes by their finite-dimensional sections. (Russian. Russiansummary) 2003k:41036(with Leviatan, D.) Shape-preserving widths of weighted Sobolev-type classes ofpositive, monotone, and convex functions on a finite interval. (English summary)2003g:41041

(with Leviatan,D.) Shape preserving widths of Sobolev-type classes of s-monotonefunctions on a finite interval. (English summary) 2003m:41045

Koskela, Pekka Sobolev spaces and quasiconformalmappings on metric spaces. (Englishsummary) 2003m:30049

Kumagai, Takashi Function spaces and stochastic processes on fractals.Leoni, Giovanni see Bouchitte, Guy et al., 2003i:49018Leviatan, D. see Konovalov, V. N., 2003e:41041; 2003g:41041;2003j:41039 and 2003m:41045Li, Chun Li (with Cui, Ming Gen) Exact solutions for a class of nonlinear integral

equations in a reproducing kernel space. (Chinese. English and Chinese summaries)2003f:46035

Li, Liang-pan Some remarks on a multiplier theorem of Hormander. (English and Chinesesummaries) 2003k:42028

Li, Xiang Dong Sobolev spaces and capacities theory on path spaces over a compactRiemannian manifold. (English summary) 2003k:58062

Li, Yan Yan (with Ricciardi, Tonia) A sharp Sobolev inequality on Riemannian manifolds.(English and French summaries) 2003j:58056

Li, Yun Hui (with Cui, Ming Gen) An extremumproblem for a functional in the reproduc-ing kernel spaceW 1

2 (R). (Chinese. English and Chinese summaries) 2003f:46036Liu, Yongping (with Xu, Gui Qiao) The infinite-dimensional widths and optimal recovery

of generalized Besov classes. (English summary) 2003g:41042see also Xu, Gui Qiao, 2003j:41041

Loonker, Deshna see Banerji, P. K., 2003k:46049Los, Valerii Sobolev’s problem for general elliptic systems of Lere-Volevich’s structure

[Sobolev’s problem for general elliptic systems of Leray-Volevich’s structure]. (Englishsummary) 2003j:35065

Lu, Guo Zhen see Baldi, Annalisa et al., 2003d:35045Lukkassen, Dag see Jain, Pankaj2 et al., 2003h:49014Lyakhov, L. N. Весовые сферические функции и потенциалы Рисса, порожденные

обобщенным сдвигом. (Russian. Russian summary) [Weighted spherical functions andRiesz potentials generated by generalized shift] 2003d:42001

Malamud, M. M. see Domanov, I. Yu., 2003f:47009Maldonado,M. see Garcıa del Amo, A. et al., 2003e:46061Mamedov, F. I. Poincare type weight inequalities in domains with the condition of

isoperimetric type. (English and Georgian summaries) 2003h:42024

Manfredi, Juan J. (with Villamor, Enrique) Traces of monotone functions in weightedSobolev spaces. (English summary) 2003g:31005

Mao, YongHua Logarithmic Sobolev inequalities for birth-death process and diffusionprocess on the line. (English and Chinese summaries) 2003m:60244

Martın, Joaquim see Carro, Marıa J., 2003g:46082Marusic, Sanja Asymptotic behaviour of sharp Sobolev constants in thin domains.

2003j:49026

Mascarenhas,Maria Luisa see Bouchitte, Guy et al., 2003i:49018Maz′ya, Vladimir G. (with Shaposhnikova, Tat′yana) Pointwise interpolation inequalities

for derivativeswith best constants. (Russian. Russian summary) 2003c:42020

(with Shaposhnikova, Tat′yana) An elementary proof of the Brezis and Mironescutheorem on the composition operator in fractional Sobolev spaces. (English summary)2003a:47121

Mirzoev, S. S. (with Gamidov, E. G.) On norms of intermediate derivatives in spaces ofsmooth vector functions on all axis. (English and Azerbaijani summaries) 2003e:35307

Mitrea, Marius A note on Besov regularity of layer potentials and solutions of ellipticPDE’s. (English summary) 2003d:35030

see also Dindos, Martin, 2003g:35061Mizuta, Yoshihiro see Futamura, Toshihide et al.

Narcowich, Francis J. (with Schaback, Robert; Ward, Joseph D.) Approximations inSobolev spaces by kernel expansions. (English summary) 2003d:41035

Nasibov, Sh. M. On the exact constant in a Sobolev-Nirenberg inequality and itsapplication to a lower bound for the blow-up time of the nonlinear evolution Schrodingerequation with a critical power. (Russian) 2003g:35210

Nazarov, A. I. On the symmetry of extremals in the weight embedding theorem. (Englishsummary) 2003f:49078

Nolder, Craig A. see Ding, Shu Sen, 2003m:35069

Novikov, S. Ya. (with Semenov, E. M.; Hernandez, Francisco L.) Strictly singularembeddings. (Russian) 2003b:46038

Onninen, Jani see Iwaniec, Tadeusz, 2003i:42027Pakzad, Mohammad Reza On topological singular set of maps with finite 3-energy into S3.

(English summary) 2003g:58019Persson, Lars Erik see Jain, Pankaj2 et al., 2003h:49014Pestana, Domingo see Alvarez, Venancio et al., 2003c:42002 and Rodriguez, Jose M. et al.,


2003h:42034

del Pino, Manuel A. (with Dolbeault, Jean) Nonlinear diffusions and optimal constants inSobolev type inequalities: asymptotic behaviour of equations involving the p-Laplacian.(English and French summaries) 2003a:35096

(with Dolbeault, Jean) Best constants for Gagliardo-Nirenberg inequalities andapplications to nonlinear diffusions. (English and French summaries) 2003h:35051

Prada Blanco, Julia see Garcıa del Amo, A. et al., 2003e:46061Rakotoson, Jean Michel General pointwise relations for the relative rearrangement and

applications. (English summary) 2003e:35124

Read, Thomas T. see Curgus, Branko, 2003g:47078Ricciardi, Tonia see Li, Yan Yan, 2003j:58056Rochberg,Richard see Arcozzi, Nicola et al., 2003j:30080Rodin, Vladimir A. see Curbera, Guillermo P., 2003i:42017Rodriguez, Jose M. (with Romera, Elena; Pestana, Domingo; Alvarez, Venancio) Gener-

alized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials. II.(English summary) 2003h:42034

RodrıguezGarcia, Jose Manuel see Alvarez, Venancio et al., 2003c:42002Romanovskiı, N. N. Integral representations and embedding theorems for functions defined

on the Heisenberg groups Hn. (Russian) 2003e:22005

Romanyuk, A. S. Estimates for the approximation characteristics of the Besov classesBrp,< of periodic functions of several variables in the space Lq . I. (Russian. English and

Ukrainian summaries) 2003c:42004

Estimates for the approximation characteristics of the Besov classes Brp,< of periodic

functions of several variables in the space Lq . II. (Russian. English and Ukrainiansummaries) 2003c:42003

Romera, Elena see Alvarez, Venancio et al., 2003c:42002 and Rodriguez, Jose M. et al.,2003h:42034

Rossi, Julio Daniel see FernandezBonder, Julian, 2003g:35171Sawyer, Eric see Arcozzi, Nicola et al., 2003j:30080Schaback,Robert see Narcowich, Francis J. et al., 2003d:41035Schilling,Rene L. Function spaces as path spaces of Feller processes. (English summary)

2003c:60122

Schmets, Jean (with Valdivia, Manuel) Ultraholomorphic extension maps for spaces ofultradifferentiable jets. (English summary) 2003d:46032

(with Valdivia,Manuel) Holomorphic extension maps for spaces of Whitney jets.(English and Spanish summaries) 2003e:58011

Schneider,Matthias Compact embeddings and indefinite semilinear elliptic problems.2003f:35119

Semenov, E. M. see Novikov, S. Ya. et al., 2003b:46038Serapioni, Raul see Franchi, Bruno et al., 2003g:49062Serra Cassano, Francesco see Franchi, Bruno et al., 2003g:49062Shaposhnikova,Tat′yana see Maz′ya, Vladimir G., 2003a:47121 and 2003c:42020

Shimomura, Tetsu see Futamura, Toshihide et al.

Smailov, E. S. Embedding theorems for Sobolev spaces of numerical sequences [Translationof Proceedings on Analysis and Geometry (Russian) (Novosibirsk Akademgorodok,1999), 553–570, Izdat. Ross. Akad. Nauk Sib. Otd. Inst. Mat., Novosibirsk, 2000; MR2002j:46030]. (English summary)

Stasyuk, S. A. BestM -term trigonometric approximations of the classes BΩp,< of functions

of several variables. (Ukrainian. English and Ukrainian summaries) 2003j:42001

Stikharnyı,A. P. A sharp estimate for the operator norm of a difference embedding.(Russian. English, Russian andKazakh summaries) 2003c:46011

Svanstedt,Nils see Jain, Pankaj2 et al., 2003h:49014TabaccoVignati, Anita see Garrigos, Gustavo, 2003d:42054Takac, Peter see Fleckinger, Jacqueline,2003h:35072Tiba, Dan A property of Sobolev spaces and existence in optimal design. (English


Tikhonov, Sergey Yu. Moduli of smoothness and the interrelation of some classes offunctions. (English summary) 2003j:42003

Torres, RodolfoH. see Grafakos, Loukas, 2003c:47046Transirico, Maria see Canale, Anna et al., 2003j:35052Triebel, Hans Fraktale Analysis aus der Sicht der Funktionenraume. (English summary)

[Fractal analysis from the viewpoint of function spaces] 2003j:28030

Troyanov, Marc see Gol′dshtein, Vladimir, 2003m:31010

Tyson, Jeremy T. see Balogh, ZoltanM., 2003k:22012Ukhlov, A. D. see Vodop′yanov,S. K., 2003m:47044

Upadhyay, S. K. Asymptotic series of general symbol and pseudo-differential operators.(English summary) 2003j:35342

Valdivia,Manuel see Schmets, Jean, 2003d:46032 and 2003e:58011

Veling, E. J. M. Lower bounds for the infimum of the spectrum of the Schrodingeroperator in RN and the Sobolev inequalities. (English summary) 2003g:35039

Villamor, Enrique see Manfredi, Juan J., 2003g:31005Vlasov, Viktor Valentinovich (with Ivanov, Sergei A.) Estimates for solutions of equa-

tions with aftereffect in Sobolev spaces and a basis of divided differences. (Russian)2003i:34151

Vodop′yanov, S. K. (with Ukhlov, A. D.) Superposition operators in Sobolev spaces.(Russian) 2003m:47044

Volpert, Aizik I. (with Vol′pert, Vit. A.) Normal solvability and properness of ellipticproblems. (English summary) 2003i:35066

Vol′pert, Vit. A. see Volpert, Aizik I., 2003i:35066Wang, Feng Yu Logarithmic Sobolev inequalities: conditions and counterexamples.


Wang,He Ping Average widths of Sobolev-Wiener classes with mixed smoothness inLq(Rd ) [MR 2002c:41040].(Chinese. English and Chinese summaries)

Ward, Joseph D. see Narcowich, Francis J. et al., 2003d:41035Xu, Gui Qiao (with Liu, Yongping) The Gel′fand widths of anisotropic Sobolev classes of

smooth functions. (English summary) 2003j:41041

(with Du, Ying Fang; Zhao, Hua Jie; Yu, De Sheng) The polynomial spline interpola-tion approximation of anisotropic Sobolev classes. (Chinese. English and Chinese sum-maries)

see also Liu, Yongping,2003g:41042Ye, Pei Xin see Fang, Gen Sun, 2003i:41034Yu, De Sheng see Xu, Gui Qiao et al.

Zav′yalov, B. I. see Drozhzhinov, Yu. N., 2003e:46057 and 2003k:46044

Zhang, Xicheng Regularity of stopping times of diffusion processes in Besov spaces.(English summary) 2003c:60135

Zhao, Hua Jie seeXu, Gui Qiao et al.Zhu, Yueping Multipliers on weighted function spaces over locally compact Vilenkin

groups. (English summary) 2003f:43011

46E40 Spaces of vector- and operator-valued functions

Bandaliev, R. A. Imbedding theorems for anisotropic Banach-valued Sobolev spaces.(English and Azerbaijani summaries) 2003j:46056

Barnes, Bruce A. (with Roy, Ashoke K.) Diameter-preservingmaps on various classes offunction spaces. (English summary) 2003j:46057

Blasco, Oscar A note on the boundedness of operators on weighted Bergman spaces.(English summary) 2003b:46047

Bonet, Jose (with Jorda, Enrique; Maestre, Manuel) Vector-valued meromorphicfunctions. (English summary) 2003m:46062

(with Domanski, Paweł; Vogt, Dietmar) Interpolation of vector-valued real analyticfunctions. (English summary) 2003h:46056

Chen, Shu Tao (with Płuciennik, R.) A note on H -points in Kothe-Bochner spaces.(English summary) 2003d:46046

Colojoara, Ion Ultradifferentiable representations. (English summary) 2003b:46048Darmawijaya, Soeparna see Supama, 2003h:46057Domanski, Paweł see Bonet, Jose et al., 2003h:46056Drewnowski, Lech Continuity of monotone functions with values in Banach lattices.


(with Labuda, Iwo) Topological vector spaces of Bochner measurable functions.(English summary) 2003j:46058

Galego, Eloi Medina On subspaces and quotients of Banach spaces C (K,X ). (Englishsummary) 2003g:46038

Garcıa-Cuerva, Jose (with Kazaryan, K. S.; Kolyada, V. I.) Paley type inequalities fororthogonal series with vector-valuedcoefficients. (English summary) 2003d:46047

Gonzalez,Manuel (with Martınez-Abejon, Antonio) Local dual spaces of Banach spacesof vector-valued functions. (English summary) 2003g:46039

Jorda, Enrique see Bonet, Jose et al., 2003m:46062Kazaryan, K. S. see Garcıa-Cuerva, Jose et al., 2003d:46047Kolyada,V. I. see Garcıa-Cuerva, Jose et al., 2003d:46047Labuda, Iwo see Drewnowski, Lech, 2003j:46058Lopez Pellicer, M. (with Sanchez Ruiz, L. M.) Some barrelledness questions in vectorLp-

spaces. (English summary) 2003c:46050

Maestre, Manuel see Bonet, Jose et al., 2003m:46062Martınez-Abejon,Antonio see Gonzalez,Manuel, 2003g:46039Nowak, Marian Weak compactness in Kothe Bochner spaces and regular methods of

summability. (English summary) 2003k:46043

(with Rzepka, Aleksandra) Locally solid topologies on spaces of vector-valuedcontinuous functions. (English summary) 2003f:46054

Olaleru, J. O. On weighted spaces without a fundamental sequence of bounded sets.(English summary) 2003f:46055

Płuciennik, R. see Chen, Shu Tao, 2003d:46046Randrianantoanina,Narcisse Banach spaces with complete continuity properties. (English


Robbins, D. A. Some extremal properties of section spaces of Banach bundles and theirduals. (English summary) 2003b:46049

Roy, Ashoke K. see Barnes, Bruce A., 2003j:46057Rzepka, Aleksandra see Nowak, Marian, 2003f:46054Sanchez Ruiz, L. M. see Lopez Pellicer, M., 2003c:46050Shi, Feng1 Property (U ) in Lp(,X ). (Chinese. English and Chinese summaries)

2003d:46048

Supama (with Darmawijaya, Soeparna) An orthogonally additive functional on a space ofBanach lattice valued functions. (English summary) 2003h:46057

Swartz, Charles Barrelledness of the space of Dobrakov integrable functions. (Englishsummary) 2003b:46050

Villanueva Dıez, Ignacio Representation of multilinear operators on C (K,X ) spaces.(English and Spanish summaries) 2003e:46053

Vogt, Dietmar see Bonet, Jose et al., 2003h:46056


Afanas, Dorin N. Topologies on functional spaces. (English summary)Amin, W. see Khalil, Roshdi et al., 2003f:46034Archoun, M. (with Ouakkasse, N.; Raıssouli, Mustapha) Decomposition en produit

tensoriel inductif de quelques espaces fonctionnels. (English summary) [Inductive tensorproduct decomposition of some functional spaces] 2003e:46032

Arregui Casaus, Jose Luis see Blasco, Oscar, 2003m:42017

Bhardwaj, Vinod K. (with Singh, Niranjan) Banach space valued sequence spaces definedby a modulus. (English summary) 2003a:46035

Bierstedt, Klaus D. (with Holtmanns, Silke) An operator representation for weightedinductive limits of spaces of vector valued holomorphic functions. (English summary)2003b:46023A survey of some results and open problems in weighted inductive limits and projectivedescription for spaces of holomorphic functions. (English summary) 2003f:46004

Bilik, Dmitriy (with Kadets, Vladimir M.; Shvidkoy, Roman; Sirotkin, G. G.; Werner,Dirk) Narrow operators on vector-valued sup-normed spaces. (English summary)2003j:46014

Blasco, Oscar (with Gregori, Pablo) Type and cotype in vector-valuedNakano sequencespaces. (English summary) 2003d:46008

(with Arregui Casaus, Jose Luis) Multipliers on vector valued Bergman spaces. (Englishsummary) 2003m:42017


Bu, Qing Ying Weakly sequential completeness of Banach-valued sequence spaces lp[X ].(English summary) 2003f:46033

Observations about the projective tensor product of Banach spaces. II. Lp(0, 1)⊗X, 1<p<∞. (English summary) 2003e:46025

Cui, Yun An see Li, Xinghua, 2003m:46044

Dehghan, Y. N. (with Shahbazov, A. I.) Weighted composition type operators on thespaces of vector-valued functions. (English and Azerbaijani summaries) 2003b:47044see also Shahbazov, A. I.

Dragomir, Sever Silvestru A weighted Ostrowski type inequality for functions with values inHilbert spaces and applications. (English summary) 2003k:26024

Drozhzhinov, Yu. N. (with Zav′yalov, B. I.) Tauberian theorems for generalized functionswith values in Banach spaces. (Russian. Russian summary) 2003k:46044

Duyar, Cenap (with Sagir, Birsen) Multipliers and relative completions of vector-valuedLp(G,A) spaces. (English summary) 2003e:43003

Erzakova, N. A. Measures of noncompactness [Translation of Proceedings on Analysis andGeometry (Russian) (Novosibirsk Akademgorodok, 1999), 671–687, Izdat. Ross. Akad.Nauk Sib. Otd. Inst. Mat., Novosibirsk, 2000;MR 2002g:47113]. (English summary)

Ferrando, Juan Carlos (with Lyudkovskiı, S. V.) Some barrelledness properties of c0(Ω, X ).(English summary) 2003h:46011

On sums of Pettis integrable random elements. (English summary) 2003h:28020

Gale, Jose E. On Besov spaces defined by Riesz means. (Spanish. English summary)2003f:46046

Gau, Hwa-Long (with Jeang, Jyh-Shyang; Wong, Ngai Ching) Biseparating linear mapsbetween continuous vector-valued function spaces. (English summary) 2003j:47041

Goldberg,Michael J. Asymptotic properties of the vector Carleson embedding theorem.(English summary) 2003b:42037

Gordon, Yehoram (with Litvak, Alexander; Schutt, Carsten; Werner, Elisabeth) Orlicznorms of sequences of random variables. (English summary) 2003m:60009

Gregori, Pablo see Blasco, Oscar, 2003d:46008Gubreev, G. M. (with Volkova, M. G.) Unconditional bases of Hilbert spaces that consist

of values of entire vector functions whose order of growth is equal to 1/2. (Russian.English and Russian summaries) 2003j:47044

Hashimoto, Kazuo1 see Takahashi, Yasuji et al., 2003e:46013Holtmanns, Silke see Bierstedt, Klaus D., 2003b:46023Hussein, Deeb seeKhalil, Roshdi et al., 2003f:46034Ito, Yoshifumi Sato hyperfunctions valued in a locally convex space. (see 2003g:00024)

Theory of (vector-valued) Sato hyperfunctions on a real-analyticmanifold. (Englishsummary) 2003a:32006

Jarosz, Krzysztof (with Rao, T. S. S. R. K.) Local isometries of function spaces. (Englishsummary) 2003m:46036

Jeang, Jyh-Shyang see Gau, Hwa-Long et al., 2003j:47041Kadets, Vladimir M. see Bilik, Dmitriy et al., 2003j:46014Kakol, Jerzy (with Sliwa, Wiesław) Strongly Hewitt spaces. (English summary)

2003a:54017

Kato, Mikio see Takahashi, Yasuji et al., 2003e:46013Khalil, Roshdi (with Hussein, Deeb; Amin, W.) Geometry of modulus spaces. (English


Khan, Liaqat Ali1 (with Thaheem, A. B.) Operator-valued multiplication operators onweighted function spaces. (English summary) 2003e:47058

Khrennikov, Andrei (with Shelkovich, V. M.; Smolyanov, O. G.) Locally convex spacesof vector-valued distributions with multiplicative structures. (English summary)2003k:46045see also Smolyanov,O. G. et al., 2003i:46040

Kolwicz, Paweł P-convexity of generalized Calderon-Lozanowskiı spaces of Bochner type.(English summary) 2003d:46034

Orthogonal uniform convexity in Kothe spaces and Orlicz spaces. (English summary)2003i:46029


Li, Xinghua (with Cui, Yun An) Compact midpoint local uniform convexity in Orliczspaces. (English summary) 2003m:46044

Litvak, Alexander see Gordon, Yehoram et al., 2003m:60009Lyudkovskiı, S. V. see Ferrando, Juan Carlos, 2003h:46011Mercourakis, S. (with Stamati, E.) Compactness in the first Baire class and Baire-1

operators. (English summary) 2003b:46006

Ouakkasse, N. see Archoun, M. et al., 2003e:46032Oubbi, L. Multiplication operators on weighted spaces of continuous functions. (English

summary) 2003a:47068see also Errata: “Multiplication operators on weighted spaces of continuous functions”

Patyi, Imre On a splitting problem. (English summary) 2003i:46041Popa, Dumitru Rank α operators on the space C (T,X ). (English summary) 2003c:47061

Raıssouli,Mustapha see Archoun, M. et al., 2003e:46032Rao, T. S. S. R. K. see Jarosz, Krzysztof, 2003m:46036Rath, D. A note on the completeness of the space of bounded sequences with values in a

Hausdorff locally convex topological vector space. (English summary) 2003f:46011

Rodrıguez-Salinas, B. On the uniform limit of quasi-continuous functions. (English andSpanish summaries) 2003e:28006

Roudenko,Svetlana Matrix-weightedBesov spaces. (English summary) 2003k:42037

Sagir, Birsen see Duyar, Cenap, 2003e:43003SanchezPerez, Enrique A. Compactness arguments for spaces of p-integrable functions

with respect to a vector measure and factorization of operators through Lebesgue-Bochner spaces. (English summary) 2003d:46055

Sanhan,Winate see Suantai, Suthep, 2003e:46010Schutt,Carsten see Gordon, Yehoram et al., 2003m:60009

Shahbazov, A. I. (with Dehghan, Y. N.) Compact weighted composition operators actingon the space of vector-valued functions. (English and Azerbaijani summaries)see also Dehghan, Y. N., 2003b:47044

Shelkovich,V. M. see Smolyanov,O. G. et al., 2003i:46040 and Khrennikov, Andrei et al.,2003k:46045

Shvidkoy, Roman see Bilik, Dmitriy et al., 2003j:46014

Singh, Niranjan see Bhardwaj, Vinod K., 2003a:46035Sirotkin, G. G. see Bilik, Dmitriy et al., 2003j:46014Sliwa, Wiesław seeKakol, Jerzy, 2003a:54017Smolyanov,O. G. (with Khrennikov, Andrei; Shelkovich, V. M.) Multiplicative structures

in a linear space of vector-valued distributions. (Russian) 2003i:46040see also Khrennikov, Andrei et al., 2003k:46045

Stamati, E. see Mercourakis, S., 2003b:46006Suantai, Suthep (with Sanhan, Winate) On -dual of vector-valued sequence spaces of

Maddox. (English summary) 2003e:46010

Takahashi, Yasuji (with Hashimoto, Kazuo1; Kato, Mikio) On sharp uniform convexity,smoothness, and strong type, cotype inequalities. (English summary) 2003e:46013

Thaheem, A. B. see Khan, Liaqat Ali1, 2003e:47058Timofte, Vlad Special uniform approximations of continuous vector-valued functions. I.

Special approximations in CX (T ). (English summary) 2003i:41024

Vanderputten,Laurent Representation of operators defined on the space of Bochnerintegrable functions. 2003c:47063

Volkova, M. G. seeGubreev, G. M., 2003j:47044Werner, Dirk see Bilik, Dmitriy et al., 2003j:46014Werner, Elisabeth see Gordon, Yehoram et al., 2003m:60009Wong, Ngai Ching see Gau, Hwa-Long et al., 2003j:47041Yu, Lin1 Interpolation between B-valued martingaleHardy and BMO spaces. (English and

Chinese summaries) 2003h:60061

Zav′yalov, B. I. see Drozhzhinov, Yu. N., 2003k:46044


Errata:“Multiplication operators on weighted spaces of continuous functions” Erratum to:

“Multiplication operators on weighted spaces of continuous functions” [Port. Math.(N.S.) 59 (2002), no. 1, 111–124;MR 2003a:47068] by L. Oubbi.

46E50 Spaces of differentiable or holomorphic functions oninfinite-dimensional spaces [see also 46G20, 46G25,47H60]



Dıaz Alcaide, Juan Carlos see Defant, Andreas et al., 2003e:46054Dineen, Sean see Boyd, Christopher et al., 2003j:46059Fernandez, Cecılia S. On new Banach spaces of analytic mappings. (English summary)

2003a:46057

Garcıa, Domingo see Defant, Andreas et al., 2003e:46054Maestre, Manuel see Defant, Andreas et al., 2003e:46054Mauer, Murielle Domains of R-analytic existence in a real separable quojection. (English

summary) 2003b:46051Ouerdiane,Habib Algebras of infinite dimensional holomorphic functions and application

to probability. (English summary)Rueda, Maria Pilar see Boyd, Christopher et al., 2003j:46059Sifi, M. (with Soltani, F.) Generalized Fock spaces and Weyl relations for the Dunkl kernel

on the real line. (English summary) 2003c:46051

Soltani, F. see Sifi, M., 2003c:46051


Alencar, Raymundo (with Aron, Richard M.; Galindo, Pablo; Zagorodnyuk, A. V.)Algebras of symmetric holomorphic functions on lp . (English summary) 2003m:46082

Aron, Richard M. see Alencar, Raymundo et al., 2003m:46082Atkin, C. J. Extension of smooth functions in infinite dimensions. II. Manifolds. (English


Ben Chrouda, Mohamed (with Ouerdiane, Habib) Algebras of operators on holomorphicfunctions and applications. (English summary) 2003g:46044


Boyd, Christopher (with Dineen, Sean; Rueda, Maria Pilar) Weakly uniformly contin-uous holomorphic functions and the approximation property. (English summary)2003g:46049

Carrion V., Humberto D. Entire functions on Banach spaces with a separable dual. (Englishsummary) 2003b:46061

Dineen, Sean see Boyd, Christopher et al., 2003g:46049Galindo, Pablo see Alencar, Raymundo et al., 2003m:46082

Gordina, Maria Taylor map on groups associated with a II1-factor. (English summary)2003g:46076

Ji, Un Cig (with Obata, Nobuaki; Ouerdiane, Habib) Analytic characterization ofgeneralized Fock space operators as two-variable entire functions with growth condition.(English summary) 2003h:60104

Obata, Nobuaki see Ji, Un Cig et al., 2003h:60104Ouerdiane,Habib see Ben Chrouda, Mohamed, 2003g:46044 and Ji, Un Cig et al.,

2003h:60104

Rueda, Maria Pilar see Boyd, Christopher et al., 2003g:46049Villanueva Dıez, Ignacio see Bombal, Fernando,2003e:47106Zagorodnyuk, A. V. Ideals of algebras of analytic functions on Banach spaces. (English and

Russian summaries) 2003j:46074

see also Alencar, Raymundo et al., 2003m:46082

46E99 None of the above, but in this section

Bakan, A. G. Codimension of polynomial subspace in L2(R, d) for discrete indeterminatemeasure . (English summary) 2003g:46040

46F Distributions, generalized functions, distribution spaces1213 2003 46F05

Banys, Rimas On metrization of the space Dα[0,∞). (Lithuanian. English summary)2003c:46052

Capitanelli,Raffaela (with Lancia, Maria Rosaria) Nonlinear energy forms and Lipschitzspaces on the Koch curve. (English summary) 2003f:46056

Ji, Un Cig A characterization of weightedFock space operators. (English summary)Koptev,A. V. (with Robbins, D. A.) A note on the space of weakly continuous sections of a

Banach bundle. (English summary) 2003h:46058

Lancia,Maria Rosaria seeCapitanelli, Raffaela, 2003f:46056Robbins,D. A. see Koptev, A. V., 2003h:46058Shlapunov, A. A. Duality in the solution spaces of elliptic systems. (Russian. Russian



Acerbi, Emilio (with Buttazzo, Giuseppe; Prinari, Francesca) The class of functionalswhich can be represented by a supremum. (English summary) 2003e:49034

Balazard,Michel Completeness problems and the Riemann hypothesis: an annotatedbibliography. 2003k:11135

Bottcher, Albrecht (with Karlovich, Yu. I.; Spitkovsky, Ilya M.) Convolution operatorsand factorization of almost periodic matrix functions. (English summary) 2003c:47047

Brudnyı, Yu. A. (with Shvartsman, Pavel) Stability of the Lipschitz extension propertyunder metric transforms. (English summary) 2003c:54027

Burgin, Mark Theory of hypernumbers and extrafunctions: functional spaces anddifferentiation. (English summary) 2003e:26041

Buttazzo, Giuseppe see Acerbi, Emilio et al., 2003e:49034Cao, Yang2 On the inverse limit of Higson compactifications.CasadoDıaz, Juan (with Gayte, Inmaculada) Homogenization of nonperiodic problems

via two-scale convergence. (Spanish. Spanish summary) 2003b:35016Chistyakov, VyacheslavV. Mappings of generalized variation and composition operators.

2003f:47104D’Angelo, John P. Inequalities from complex analysis. (English summary) 2003e:32001

Deck, Thomas Continuous dependence on initial data for solutions of nonlinear stochasticevolution equations. (English summary) 2003g:60118

Ding, Shu Sen (with Liu, Bing2) Whitney covers and quasi-isometry of Ls ()-averagingdomains. (English summary) 2003b:30027

Ding, Yong (with Fan, Da Shan; Pan, Yibiao) Marcinkiewicz integrals with rough kernelson product spaces. (English summary) 2003b:42027

Dogan,M. (with Gurkanlı, A. T.) Multipliers of the space Sw(G). (English summary)2003k:42023

Dutta, Krishnendu see Ganguly, Sobhakar

Fan, Da Shan see Ding, Yong et al., 2003b:42027Ganguly, Sobhakar (with Dutta, Krishnendu) Further study of N -R-topology on function

space. (English summary)Gayte, Inmaculada see Casado Dıaz, Juan, 2003b:35016Gurkanlı, A. T. see Dogan, M., 2003k:42023Jahedi, K. see Yousefi, B., 2003b:47061Karlovich, Yu. I. see Bottcher, Albrecht et al., 2003c:47047Kellerer, Hans G. Continuous transformation of Baire measures into Lebesgue measure.


Kurzweil, Jaroslav Integration between the Lebesgue integral and the Henstock-Kurzweilintegral. 2003e:26012

Liu, Bing2 see Ding, Shu Sen, 2003b:30027Lopez-Dıaz,Miguel see Teran, Pedro, 2003f:47086 and 2003g:47086Lu, Shi Jie see Wu, Jun De, 2003g:46004Lyubarskii, Yurii I. (with Seip, Kristian) A splitting problem for unconditional bases of

complex exponentials. 2003d:30002

Martellotti,Anna Finitely additive phenomena. 2003e:28003

Matsuda,Minoru Fragmentable compact spaces and differentiability of convex functions.(English summary) 2003b:54025

Medvedev, A. V. On a concave majorant of a modulus of continuity. (Russian)2003d:41009

Nazarov, A. I. On exact constant in the generalized Poincare inequality. (English summary)2003m:26022

Pan, Yibiao see Ding, Yong et al., 2003b:42027Pemba, J.-P. James spaces over partially ordered index-sets. (English summary)

2003g:46007Polovinkin, V. I. A formula for functions that realize functionals. (Russian. Russian

summary) 2003c:31006Poltoratskiı, A. G. Integral representations and uniqueness sets for star-invariant

subspaces. (English summary) 2003f:30043Prinari, Francesca see Acerbi, Emilio et al., 2003e:49034Rao, T. S. S. R. K. Points of weak-norm continuity in the unit ball of Banach spaces.


Romaguera, Salvador (with Schellekens, Michel) Duality and quasi-normability forcomplexity spaces. (English summary) 2003g:54068

Sagher, Y. (with Shvartsman, Pavel) An interpolation theorem with perturbed continuity.(English summary) 2003a:46104

Schellekens,Michel see Romaguera, Salvador, 2003g:54068Seip, Kristian see Lyubarskii, Yurii I., 2003d:30002Shvartsman, Pavel see Sagher, Y., 2003a:46104 and Brudnyı, Yu. A., 2003c:54027Sinaıskiı, E. E. Translation-continuous functionals on CB(R) and their supports. (Russian)

2003m:43003

Spitkovsky, Ilya M. see Bottcher, Albrecht et al., 2003c:47047Teran, Pedro (with Lopez-Dıaz, Miguel) Set-valued extension of operators via Steiner

selections. I. Theoretical results. (English summary) 2003g:47086

(with Lopez-Dıaz, Miguel) Set-valued extension of operators via Steiner selections. II.Applications to approximation. (English summary) 2003f:47086

Triebel, Hans (with Yang, Da Chun1) Spectral theory of Riesz potentials on quasi-metricspaces. (English summary) 2003e:31007

Wu, Jun De (with Lu, Shi Jie) A general Orlicz-Pettis theorem. (English summary)2003g:46004

Yang, Da Chun1 see Triebel, Hans, 2003e:31007Yousefi, B. (with Jahedi, K.) Analytic structure of the Banach space of formal power series.



Bibliography:

Completeness problems and the Riemann hypothesis see Balazard, Michel, 2003k:11135

46Fxx Distributions, generalized functions, distributionspaces [see also 46T30]

Items with secondary classifications in 46Fxx

Gussi, G. Topics in analysis and distribution theory. 2003e:46001

46F05 Topological linear spaces of test functions, distributionsand ultradistributions [see also 46E10, 46E35]

Banerji, P. K. (with Loonker, Deshna) Generalized Schwartz distribution: the Boehmians.(English summary) 2003e:46056

Cheng, Lin-zhi The general form of adjoined distributions. (English and Chinesesummaries)

Drozhzhinov, Yu. N. (with Zav′yalov, B. I.) Tauberian-type theorems for generalizedfunctions in the scale of self-similar functionals. (Russian) 2003e:46057

(with Zav′yalov, B. I.) Tauberian theorems for generalized functions with values inBanach spaces. (Russian. Russian summary) 2003k:46044

Gaikawad, G. S. see Malgonde,S. P., 2003g:46041Gomez-Collado,Marıa del Carmen A sequence space representation of the space of

bounded ultradistributions of Beurling type. (English and Spanish summaries)2003d:46049

Gulisashvili, Archil On the Kato classes of distributions and the BMO-classes. 2003a:46058

Hoskins, Roy Frank see Sousa Pinto, J., 2003f:46058Kadar, F. Classification of distributions by the arithmetic means of their Fourier series.


Khrennikov, Andrei (with Shelkovich, V. M.; Smolyanov, O. G.) Locally convex spacesof vector-valued distributions with multiplicative structures. (English summary)2003k:46045

Kunstmann, Peer Christian Laplace transform theory for logarithmic regions. (Englishsummary) 2003b:46052

Loonker, Deshna see Banerji, P. K., 2003e:46056Lopushanskiı, O. V. (with Lozins′ka, V. Ya.) Analytic distributions of exponential type.

(Ukrainian. English, Russian and Ukrainian summaries) 2003j:46060Lozins′ka, V. Ya. see Lopushanskiı, O. V., 2003j:46060Malgonde, S. P. (with Gaikawad, G. S.) Characterization of generalized Hankel integral

type transformable generalized functions. (English summary) 2003g:46041Marrero, I. A property characterizingMontel Hankel-KMp spaces. (English summary)

2003b:46053Multipliers of Hankel-KMp spaces. (English summary) 2003b:46054

Hankel-KMp spaces. (English summary) 2003e:46058

Mikusinski, Piotr Generalized functions and convolutions. 2003m:46063

Neelon, Tejinder S. A correction to: “Ultradifferentiable functions on lines in Rn” [Proc.Amer. Math. Soc. 127 (1999), no. 7, 2099–2104;MR 99j:46044]. (English summary)2003k:46046

Shelkovich, V. M. see Khrennikov, Andrei et al., 2003k:46045Smolyanov,O. G. see Khrennikov, Andrei et al., 2003k:46045Sousa Pinto, J. (with Hoskins, Roy Frank) Hyperfinite representation of distributions.


Wengenroth, Jochen A splitting theorem for subspaces and quotients of D ′. (Englishsummary) 2003e:46059

Zav′yalov, B. I. see Drozhzhinov, Yu. N., 2003e:46057 and 2003k:46044

Items with secondary classifications in 46F05

Albanese, Angela A. (with Corli, Andrea; Rodino, Luigi) Hypoellipticity and localsolvability in Gevrey classes. (English summary) 2003d:35044

Aldroubi, Akram (with Sun, Qiyu) Locally finite dimensional shift-invariant spaces in Rd .(English summary) 2003d:42049

Chung, Soon-Yeong (with Yim, Sun-Young) Global regularity of positive definitecontinuous functions. (English summary) 2003d:42016

Colojoara, Ion Ultradifferentiable representations. (English summary) 2003b:46048

Corli, Andrea see Albanese, Angela A. et al., 2003d:35044Eida, Atsuhiko (with Pilipovic, Stevan S.) Roumieu type tempered ultradistributions and

Fourier hyperfunctions. 2003h:46064

Estrada, Ricardo Some Tauberian theorems for Schwartz distributions. (English summary)2003e:46060


Han, Yong Sheng1 (with Lin, Chin-Cheng) Embedding theorem on spaces of homoge-neous type. (English summary) 2003e:46049

Lin, Chin-Cheng see Han, Yong Sheng1, 2003e:46049Morimoto, Mitsuo Generalized functions on the sphere and heat functions. (English


Muller, Paul F. X. A simplification in the proof of the non-isomorphism betweenH 1(')andH 1('2). (English summary) 2003e:30050

Park, Young Sik On non quasi-analytic classes of functions and the space of Whitney jetsof classM . (English summary) 2003h:26042

Pilipovic, Stevan S. (with Teofanov, Nenad) Wilson bases and ultramodulation spaces.(English summary) 2003d:42048

see also Eida, Atsuhiko, 2003h:46064

FUNCTIONAL ANALYSIS46F05 2003 1214

Ramadan, Sabra On algebra of new generalized functions Lα(Sαα (R)). (English and Arabicsummaries) 2003e:46065

Rechkoski, Vlatko Some notes on the analytic representation of a distribution. (Macedo-nian. English and Macedonian summaries) 2003k:46054

Rodino,Luigi see Albanese, Angela A. et al., 2003d:35044Sait-Ametov,M. R. On a Gaussian free measure on the space of distributions over the field

of p-adic numbers. (English summary) 2003e:46121Schmets, Jean (with Valdivia,Manuel) Holomorphic extension maps for spaces of

Whitney jets. (English and Spanish summaries) 2003e:58011Schmidt, Andreas U. Infinite infrared regularization and a state space for the Heisenberg

algebra. (English summary) 2003b:81114aErratum: “Infinite infrared regularization and a state space for the Heisenberg algebra”.2003b:81114b

Schneiders, Jean-Pierre A real analytic Schwartz’ kernels theorem. (English summary)2003c:32010

Sun,Qiyu see Aldroubi, Akram, 2003d:42049Teofanov, Nenad see Pilipovic, Stevan S., 2003d:42048Valdivia,Manuel see Schmets, Jean, 2003e:58011Yang,Qi Xiang New wavelet bases for non-homogeneous symbolic space OpSm1,1 and

related kernel-distribution spaces. (English summary) 2003j:42043

Yim, Sun-Young see Chung, Soon-Yeong,2003d:42016

46F10 Operations with distributions

Abdullah,Saleh Solvability of convolution equations in the space of tempered distributions.(English summary) 2003g:46042

Aguirre Tellez, Manuel Antonio Proportionality of k-th derivative of Dirac delta in thehypercone. (English summary) 2003b:46055

Taylor-type expansion of the k-th derivative of the Dirac delta in u(x1, . . . , xn)− t.(English summary) 2003k:46047

Aliev, F. S. Multiple differentiation formula of some generalized functions. (English andAzerbaijani summaries) 2003m:46064

Al-Sirehy, Fatma see Fisher, Brian et al., 2003b:46057Alvarez, Josefina (with Guzman-Partida,Martha) The S′-convolution with singular

kernels in the Euclidean case and the product domain case. (English summary)2003f:46059

Antonevich,Anatoliı B. (with Radyno, N. Ya.; Radyno, Ya. V.) Mnemonic functions andsome of their applications. (Russian) (see 2003b:00025)

Belhadj,Mohamed1 (with Betancor, Jorge J.) Hypoellipticity of Hankel convolutionequations on Schwartz distribution spaces. (English summary) 2003i:46038

Betancor, Jorge J. see Belhadj, Mohamed1, 2003i:46038Damyanov, Blagovest Results on singular distribution products of Mikusinski type.


Dhungana,Bishnu P. Eigenfunctions of Laplacian by boundedness conditions in boundedhyperfunctions and distributions. (English summary) 2003m:46065

Estrada, Ricardo (with Fulling, Stephen A.) How singular functions define distributions.(English summary) 2003d:46050

Some Tauberian theorems for Schwartz distributions. (English summary) 2003e:46060

Fernandez, Carmen (with Galbis, A.; Jornet, D.) Perturbations of surjective convolutionoperators. (English summary) 2003b:46056

Fisher, Brian (with Nicholas, Joel D.) On the exponential integral and the non-commutative neutrix convolution product. (English summary) 2003a:46059(with Telci, Mustafa; Ozcag, Emin) A neutrix convolution of functions. (Englishsummary) 2003m:46066(with Telci, Mustafa; Al-Sirehy, Fatma) The error function and the neutrix convolution.(English summary) 2003b:46057(with Jolevska-Tuneska, Biljana; Ozcag, Emin) Further results on the compositions ofdistributions. (English summary) 2003d:46051(with Telci, Mustafa) The sine integral and the neutrix convolution. (English summary)2003h:46059(with Nicholas, Joel D.) Some results on the composition of distributions. (Englishsummary) 2003k:46048

see also Kılıcman, Adem et al., 2003m:46067

Fulling, StephenA. see Estrada, Ricardo, 2003d:46050Galbis, A. see Fernandez,Carmen et al., 2003b:46056Garcıa del Amo, A. (with Maldonado, M.; Prada Blanco, Julia) A note about a theorem by

L. Hormander. (English and Spanish summaries) 2003e:46061

Guzman-Partida,Martha see Alvarez, Josefina, 2003f:46059Jolevska-Tuneska,Biljana see Fisher, Brian et al., 2003d:46051Jornet,D. see Fernandez,Carmen et al., 2003b:46056Kaminski, Andrzej (with Perisic, Dusanka; Pilipovic, Stevan S.) On supports and

convolution of ultradistributions. (English summary) 2003j:46061(with Perisic, Dusanka; Pilipovic, Stevan S.) On the convolution in Gel′fand-Shilovspaces. (English summary) 2003b:46058

Kierat, Wladyslaw (with Skornik, Urszula) A remark on the integral of integrabledistributions. (English summary) 2003a:46060

Kılıcman, Adem (with Fisher, Brian; Pehlivan, Serpil) Some commutative neutrixconvolutions of functions and distributions. (English summary) 2003m:46067

Li, Chen-Kuan A note on the product r−k · ∇(∆r2−m). (English summary) 2003i:46039

de Loura, Luıs Multipole series and differential equations. (English summary)2003h:46060

Maldonado,M. see Garcıa del Amo, A. et al., 2003e:46061Nakagami, Keiko An integral preserved by a translation on the space Γ0(D)⊕M0(D).

(English summary) 2003d:46052Nicholas, Joel D. see Fisher, Brian, 2003a:46059 and 2003k:46048

Olariu, V. (with Olteanu, Octav) Distributions attached to a moment problem and to thecalorical derivatives. (English and Romanian summaries) 2003m:46068

Olteanu,Octav see Olariu, V., 2003m:46068Ozcag, Emin see Fisher, Brian et al., 2003d:46051 and 2003m:46066

Pehlivan, Serpil see Kılıcman, Adem et al., 2003m:46067

Perisic, Dusanka see Kaminski, Andrzej et al., 2003b:46058 and 2003j:46061

Pilipovic, Stevan S. see Kaminski, Andrzej et al., 2003b:46058 and 2003j:46061Prada Blanco, Julia see Garcıa del Amo, A. et al., 2003e:46061Radyno, N. Ya. see Antonevich,Anatoliı B. et al., (2003b:00025)Radyno, Ya. V. see Antonevich,Anatoliı B. et al., (2003b:00025)Romashevskiı, A. B. Weierstrass transformation in algebra of mnemofunctions.

2003c:46053

Sharin, S. V. Some generalized functions of the generator of the fractional integrationsemigroup. (Ukrainian. English, Russian and Ukrainian summaries) 2003m:46069

Skornik, Urszula see Kierat, Wladyslaw, 2003a:46060Smets, Didier On some infinite sums of integer valued Dirac’s masses. (English and French

summaries) 2003a:46061

Telci, Mustafa see Fisher, Brian et al., 2003b:46057;2003h:46059 and 2003m:46066Trione, Susana Elena On the distribution (m2 + P ± io). (English summary) 2003e:46062


Al-Sirehy, Fatma see Fisher, Brian, 2003c:33003Banerji, P. K. (with Loonker, Deshna) Generalized Schwartz distribution: the Boehmians.


Chung, Jaeyoung (with Chung, Soon-Yeong; Kim, Dohan) Every Stieltjes momentproblem has solutions in Gelfand-Shilov spaces. (English summary) 2003h:44008

Chung, Soon-Yeong see Chung, Jaeyoung et al., 2003h:44008 and Shin, Chang Eon et al.,2003k:34011

Damyanov, Blagovest Mikusinski type products of distributions in Colombeau algebra.(English summary) 2003c:46054Further results on Mikusinski type products of the distributions xa± in Colombeaualgebra. (English summary) 2003g:46045Results on balanced products of distributions in Colombeau algebra. (English summary)2003f:46062

Danilov, V. G. Generalized solutions describing singularity interaction. (English summary)2003m:35149

Ding, Xia Xi (with Luo, Peizhu) On an identity of Ramanujian. (English summary) [Onan identity of Ramanujan] 2003g:42007

Estrada, Ricardo see Ulate, Carlos Ml., 2003g:41054Fang, Quan Lei (with Li, Miao2) Distribution cosine functions. (Chinese. English and

Chinese summaries) 2003b:47075

Fisher, Brian (with Al-Sirehy, Fatma) On the cosine integral and the convolution. (Englishsummary) 2003c:33003

see also Jolevska-Tuneska,Biljana, 2003d:33002Galetti, Diogenes see Mizrahi, Salomon S., 2003k:33009Gorodets′kiı, V. V. (with Yudchenko, S. S.) Boundary properties of smooth solutions of a

class of operator-differential equations. (Ukrainian. English summary) 2003a:35191

Heatherly, Henry E. (with Huffman, Jason P.) Algebraic properties of the Mikusinskiconvolution algebra. (English summary) 2003e:44009

Huffman, Jason P. see Heatherly, Henry E., 2003e:44009Jolevska-Tuneska, Biljana (with Fisher, Brian) The cosine integral and the commutative

neutrix convolution. (English summary) 2003d:33002Joshi, J. M. C. On a class of integral equations over C -like surfaces in D ′(Ω+) algebra(s).


Kananthai, A. (with Suantai, Suthep; Longani, V.) On the operator⊕k related to the wave

equation and Laplacian. (English summary) 2003f:35005Kim, Dohan see Chung, Jaeyoung et al., 2003h:44008 and Shin, Chang Eon et al.,

2003k:34011Kisynski, Jan Distribution semigroups and one parameter semigroups. (English summary)

2003g:47074Kunzinger, Michael (with Steinbauer, Roland) Foundations of a nonlinear distributional

geometry. (English summary) 2003e:46125Generalized functions valued in a smooth manifold. (English summary) 2003h:46109

Li, Miao2 see Fang,Quan Lei, 2003b:47075Longani, V. see Kananthai, A. et al., 2003f:35005Loonker, Deshna see Banerji, P. K., 2003e:46056Luo, Peizhu see Ding, Xia Xi, 2003g:42007Mel′nikova, I. V. The abstract Cauchy problem. Semigroup methods, methods for abstract

distributions, and regularization methods. (Russian) 2003b:34124Mikusinski, Piotr Generalized functions and convolutions. 2003m:46063

Mizrahi, Salomon S. (with Galetti, Diogenes) Laguerre moments and generalizedfunctions. (English summary) 2003k:33009

Morimoto, Mitsuo Generalized functions on the sphere and heat functions. (Englishsummary) 2003d:30064

Napalkov, V. V., Jr. (with Popenov, S. V.) The holomorphic Cauchy problem for theconvolution operator in analytically uniform spaces, and Fisher expansions. (Russian)2003g:46023

Pandey, P. K. see Pathak, R. S. et al., 2003e:47087Pathak, R. S. (with Shrestha, K. K.; Pandey, P. K.) Minimal and maximal pseudo-

differential operators associated with the Bessel operator. (English summary)2003e:47087

(with Prasad, Akhilesh) Continuity of pseudo-differential operators associated with theBessel operator in some Gevrey spaces. (English summary) 2003j:47065

Petukhov, A. P. Approximation of distributions by convolutions in the Hausdorff metric.(English summary) 2003e:41031

Popenov, S. V. see Napalkov, V. V., Jr., 2003g:46023Prasad, Akhilesh see Pathak, R. S., 2003j:47065Ramadan, Sabra On algebra of new generalized functions Lα(S

αα (R)). (English and Arabic

summaries) 2003e:46065

Sarrico, C. O. R. Global solutions of first order linear systems of ordinary differentialequations with distributional coefficients. (English summary) 2003i:34018

Schmeelk, John An impulsive differential equation in an infinite dimensional Fock space.(English summary) 2003d:34119


46F Distributions, generalized functions, distribution spaces1215 2003 46F15

Shin, Chang Eon (with Chung, Soon-Yeong; Kim, Dohan) Gevrey and analytic conver-gence of Picard’s successive approximations. (English summary) 2003k:34011

Shrestha, K. K. Structure of ultradistribution. (English summary)see also Pathak, R. S. et al., 2003e:47087

Steinbauer, Roland see Kunzinger, Michael, 2003e:46125Suantai, Suthep see Kananthai,A. et al., 2003f:35005Trione, Susana Elena On the solutions of the causal and anticausal n-dimensional diamond

operator. (English summary) 2003f:35218

Ulate, Carlos Ml. (with Estrada, Ricardo) Asymptotic expansion of two-dimensionalEuler-Maclaurin distributional sums. (English summary) 2003g:41054

Yudchenko, S. S. see Gorodets′kiı, V. V., 2003a:35191Zavorotins′kiı,A. V. Parameter-elliptic problems of transmission in complete scales

of spaces of generalized functions of Sobolev type. (Ukrainian. English summary)2003a:35050

46F12 Integral transforms in distribution spaces [see also 42–XX,44–XX]

Banerji, P. K. (with Loonker, Deshna) On the Mellin transform of tempered Boehmians.(English summary) 2003m:46070

(with Loonker, Deshna) On the ultradistribution of Mellin transform. (Englishsummary) 2003g:46043

(with Loonker, Deshna) An extension of Sobolev spaces to the Mellin transform.(English summary) 2003k:46049

(with Loonker, Deshna) Tempered distributional Fourier-Hankel transform. (Englishsummary) 2003d:46053

Belhadj,Mohamed1 (with Betancor, Jorge J.) Hankel transformation and Hankelconvolution of tempered Beurling distributions. (English summary) 2003a:46062

(with Betancor, Jorge J.) Hankel convolution operators on entire functions anddistributions. (English summary) 2003k:46050

(with Betancor, Jorge J.) Beurling distributions and Hankel transforms. (Englishsummary) 2003j:46062

Betancor, Jorge J. see Belhadj, Mohamed1, 2003a:46062;2003j:46062and 2003k:46050

Bhosale, B. N. (with Chaudhary, M. S.) Fourier-Hankel transform of distributions ofcompact support. (English summary) 2003j:46063

Buckovska, A. L. (with Pilipovic, Stevan S.) An extension of bilinear Hilbert transform todistributions. (English summary) 2003e:46063

Chaudhary,M. S. see Bhosale, B. N., 2003j:46063Gaikawad, G. S. see Malgonde,S. P., 2003h:46062Gonzalez Rodrıguez,Benito see Hayek Calil, Nacere et al., 2003k:46051Hayek Calil, Nacere (with Gonzalez Rodrıguez, Benito; Negrin, E. R.) The general-

ized Lambert transform on distributions of compact support. (English summary)2003k:46051

Karunakaran,V. (with Thilaga, V. Baby) A characterization for Laplace-transformabledistributions on R2. (English summary) 2003h:46061

Loonker, Deshna see Banerji, P. K., 2003d:46053; 2003g:46043; 2003k:46049 and2003m:46070

Malgonde, S. P. (with Gaikawad, G. S.) On a generalized Hankel type convolution ofgeneralized functions. (English summary) 2003h:46062

Negrin, E. R. see Hayek Calil, Nacere et al., 2003k:46051Ohkuro, Shigeru A generalization of integrals and its application. (English summary)Pilipovic, Stevan S. see Buckovska, A. L., 2003e:46063Romashevskiı, A. B. Weierstrass transformation in algebra of mnemofunctions.

2003f:46061

Thilaga, V. Baby see Karunakaran, V., 2003h:46061


Airapetyan,Ruben (with Witt, Ingo) Isometric properties of the Hankel transformation inweighted Sobolev spaces. (English summary) 2003d:44004

Badwaik, Y. R. (with More, S. V.) On distributional second modified Marchi-Zgrablichintegral transform. (English summary) 2003k:44006

Betancor, Jorge J. (with Linares Linares, Manuel; Mendez Perez, Jose Manuel) Thediscrete Tchebycheff transformation in certain spaces of sequences and its applications.(English summary) 2003c:44006

(with Betancor Ortiz, Juan D.; Mendez Perez, Jose Manuel) Chebli-Trimechehypergroups andW -type spaces. (English summary) 2003m:43005

(with Betancor Ortiz, Juan D.; Mendez Perez, Jose Manuel) Distributional Fouriertransform and convolution associated to Chebli-Trimeche hypergroups. (Englishsummary) 2003h:43010

BetancorOrtiz, Juan D. see Betancor, Jorge J. et al., 2003h:43010 and 2003m:43005

Bhosale, B. N. (with Chaudhary, M. S.) Fractional Fourier transform of distributions ofcompact support. (English summary) 2003m:42015

Chaudhary,M. S. see Bhosale, B. N., 2003m:42015

Chung, Soon-Yeong (with Kim, Dohan) Paley-Wiener type theorems for the temperaturetransform. (English summary) 2003b:42025

Delanghe,Richard Some remarks on the principal value kernel in Rm. (English summary)2003e:30069

Gaikawad, G. S. see Malgonde,S. P., 2003e:44006 and 2003g:46041

Galperin, Yevgeniy V. (with Grochenig, Karlheinz) Uncertainty principles as embeddingsof modulation spaces. (English summary) 2003h:46040

Glaeske, Hans-Jurgen On a Hermite transform in spaces of generalized functions on Rn.(English summary) 2003i:44003

Gonzalez Vieli, Francisco Javier Fourier inversion of distributions with support on a planecurve. (English summary) 2003d:42018

Grinshpun, Z. S. On the Bochner theorem on orthogonal operators. (English summary)2003m:47061

Grochenig, Karlheinz see Galperin, Yevgeniy V., 2003h:46040Gudadhe,A. S. see Tiwari, A. K., 2003m:44008

Kalpakam,N. V. see Karunakaran, V., 2003e:44001

Karunakaran, V. (with Kalpakam, N. V.) Weierstrass transform for Boehmians. (Englishsummary) 2003e:44001

(with Roopkumar, R.) Ultra Boehmians and their Fourier transforms. (Englishsummary) 2003g:42037

Kim, Dohan see Chung, Soon-Yeong,2003b:42025Kunstmann, Peer Christian Laplace transform theory for logarithmic regions. (English

summary) 2003b:46052Linares Linares, Manuel see Betancor, Jorge J. et al., 2003c:44006Malgonde, S. P. (with Gaikawad, G. S.) On the generalizedHankel type transformation of

arbitrary order. (English summary) 2003e:44006

(with Gaikawad, G. S.) Characterization of generalized Hankel integral type trans-formable generalized functions. (English summary) 2003g:46041

Marrero, I. Hankel-KMp spaces. (English summary) 2003e:46058

Mendez Perez, Jose Manuel see Betancor, Jorge J. et al., 2003c:44006; 2003h:43010 and2003m:43005

More, S. V. see Tandale,M. G., 2003k:44001;Badwaik, Y. R., 2003k:44006 and Waghmare,G. L.

Panchal, D. K. (with Saxena, Rajendra Kumar; Parihar, C. L.) Abelian theorems related togeneralized Hankel transform. (English summary) 2003e:44008

Parihar, C. L. see Panchal, D. K. et al., 2003e:44008Ramadan, Sabra On algebra of new generalized functions Lα(Sαα (R)). (English and Arabic


Romashevskiı, A. B. Weierstrass transformation in algebra of mnemofunctions.2003c:46053

Roopkumar, R. see Karunakaran, V., 2003g:42037Saxena, Rajendra Kumar see Panchal, D. K. et al., 2003e:44008Sundaram, Kokila Initial and final-value theorem for the distributional Whittaker-

transform. 2003m:44007

Tandale,M. G. (with More, S. V.) Representation and abelian theorems for Laplace-Marchi-Zgrablich integral transformable generalized functions. (English summary)2003k:44001

Tang, Tai-Man On quotients of positive definite functions. (English summary)2003d:42017

Tiwari, A. K. (with Gudadhe, A. S.) The n-dimensional generalizedMellin transform ofdistribution. (English summary) 2003m:44008

Upadhyay, S. K. Asymptotic series of general symbol and pseudo-differential operators.(English summary) 2003j:35342

Waghmare, G. L. (with More, S. V.) Characterization of finite symmetric integraltransformable distributions. (English summary)

Witt, Ingo see Airapetyan, Ruben, 2003d:44004Yang, George K. Pseudo-exchange formulas for wavelet transforms of distributions.


46F15 Hyperfunctions, analytic functionals [see also 32A25,32A45, 32C35, 58J15]

Bruning, E. Schwartz’ kernel theorem for Fourier hyperfunctions. (English summary)2003h:46063

Eida, Atsuhiko (with Pilipovic, Stevan S.) Roumieu type tempered ultradistributions andFourier hyperfunctions. 2003h:46064

Ito, Yoshifumi Sato hyperfunctions valued in a locally convex space. (see 2003g:00024)Morimoto, Mitsuo (with Suwa, Masanori) A characterization of analytic functionals on

the sphere. II. (English summary) 2003k:46052

Pilipovic, Stevan S. (with Stankovic, B.) Wiener-type Tauberian theorems for Fourierhyperfunctions. (English summary) 2003k:46053

see also Eida, Atsuhiko, 2003h:46064Stankovic, B. see Pilipovic, Stevan S., 2003k:46053Suwa, Masanori see Morimoto, Mitsuo, 2003k:46052


Ashino, Ryuichi (with Desjardins, Steven J.; Heil, Christopher; Nagase, Michihiro;Vaillancourt, Remi) Image restoration through microlocal analysis with smooth tightwavelet frames. (English summary)

Desjardins, Steven J. see Ashino, Ryuichi et al.Dhungana, Bishnu P. Eigenfunctions of Laplacian by boundedness conditions in bounded

hyperfunctions and distributions. (English summary) 2003m:46065

Dubinskiı, Yuliı A. The general form of arbitrary linear functionals on the analytic Sobolevspaces. 2003h:46046

Eida, Atsuhiko On the microlocal decomposition of ultradistributions and ultradifferen-tiable functions. (English summary) 2003b:58035

Heil, Christopher see Ashino, Ryuichi et al.Ito, Yoshifumi Theory of (vector-valued) Sato hyperfunctions on a real-analyticmanifold.

(English summary) 2003a:32006Laubin, P. A projective description of the space of holomorphic germs. (English summary)

2003f:46066

Muro, Masakazu Invariant hyperfunction solutions to invariant differential equations onthe space of real symmetric matrices. (English summary) 2003g:35025

Nagase, Michihiro see Ashino, Ryuichi et al.Rosay, J.-P. (with Stout, E. L.) Corrigendum: “An approximation theorem related to good

compact sets in the sense of Martineau”, [Ann. Inst. Fourier (Grenoble) 50 (2000), no. 2,677–687;MR 2001g:32026].


Solov′ev, M. A. Lorentz-covariant ultradistributions, hyperfunctions, and analyticfunctionals. (Russian. Russian summary) 2003c:81212

Stankovic, B. Differential equation with fractional derivative and nonconstant coefficients.(English summary) 2003h:34011

Stout, E. L. see Rosay, J.-P.

Suwa, Masanori Fourier ultra-hyperfunctions as the boundary values of smooth solutionsof heat equations.

FUNCTIONAL ANALYSIS46F15 2003 1216

Fourier ultra-hyperfunctions as boundary values of smooth solutions of the heatequation. (English summary) 2003m:35100

Vaillancourt,Remi see Ashino, Ryuichi et al.

46F20 Distributions and ultradistributions as boundary values ofanalytic functions [see also 30D40, 30E25, 32A40]

Rechkoski, Vlatko Some notes on the analytic representation of a distribution. (Macedo-nian. English and Macedonian summaries) 2003k:46054


Eida, Atsuhiko (with Pilipovic, Stevan S.) Roumieu type tempered ultradistributions andFourier hyperfunctions. 2003h:46064On the microlocal decomposition of ultradistributions and ultradifferentiable functions.(English summary) 2003b:58035

Pilipovic, Stevan S. see Eida, Atsuhiko, 2003h:46064

46F25 Distributions on infinite-dimensional spaces[see also 58C35]


Berezanskiı, Yuriı Makarovich Pascal measure on generalized functions and the corre-sponding generalizedMeixner polynomials. (English summary) 2003b:46059

Ouerdiane,Habib see Ben Chrouda,Mohamed, 2003g:46044Privault, Nicolas The Fourier-Mehler transform and generalized dilations of Gaussian and

Poisson measures. (English summary) 2003e:46064


Accardi, Luigi (with Boukas, Andreas) The semi-martingale property of the square ofwhite noise integrators. (English summary) 2003f:81143

Asai, Nobuhiro On quantum white noises and related transformations.Benth, Fred Espen (with Ng, Siu-Ah) Donsker’s delta function and the covariance between

generalized functionals. (English summary) 2003f:60120

Boukas, Andreas see Accardi, Luigi, 2003f:81143Chang, Seung Jun (with Choi, Jae Gil) Relationships of convolution products, generalized

transforms, and the first variation on function spaces. (English summary) 2003f:28032

Choi, Jae Gil see Chang, Seung Jun, 2003f:28032Chung, Dong Myung (with Ji, Un Cig; Obata, Nobuaki) Quantum stochastic analysis via

white noise operators in weightedFock space. (English summary) 2003g:60116

Deck, Thomas (with Kruse, Susanne; Potthoff, J.; Watanabe,Hisao) White noise approachto stochastic partial differential equations. (English summary) 2003g:60117

Continuous dependence on initial data for solutions of nonlinear stochastic evolutionequations. (English summary) 2003g:60118

Hu, Xiao Shan see Huang, Zhi Yuan et al., 2003g:60119Huang, Zhi Yuan (with Hu, Xiao Shan; Wang, Xiang Jun2) Explicit forms of Wick tensor

powers in general white noise spaces. (English summary) 2003g:60119Ji, Un Cig seeChung, Dong Myung et al., 2003g:60116Kozitskiı, Yu. V. (with Oleszczuk, Piotr; Us, G.) Integral operators and dual orthogonal

systems on a half-line. (English summary) 2003a:60107

Kruse, Susanne see Deck, Thomas et al., 2003g:60117Kuo, Hui-Hsiung (with Obata, Nobuaki; Saito, Kimiaki) Diagonalization of the Levy

Laplacian and related stable processes. (English summary) 2003h:60105

Ng, Siu-Ah see Benth, Fred Espen, 2003f:60120Obata, Nobuaki Quantum white noise calculus based on nuclear algebras of entire

functions.see also Chung, Dong Myung et al., 2003g:60116 and Kuo, Hui-Hsiung et al., 2003h:60105

Oleszczuk, Piotr see Kozitskiı, Yu. V. et al., 2003a:60107Ouerdiane,Habib (with Silva, Jose Luis) Generalized Feynman-Kac formula with

stochastic potential. (English summary) 2003e:60146

Potthoff,J. see Deck, Thomas et al., 2003g:60117Saito, Kimiaki (with Tsoi, Allanus H.) Stochastic processes generated by functions of the

Levy Laplacian. (English summary) 2003f:60121

see also Kuo, Hui-Hsiung et al., 2003h:60105Silva, Jose Luis see Ouerdiane,Habib, 2003e:60146Tsoi, Allanus H. see Saito, Kimiaki, 2003f:60121Us, G. see Kozitskiı, Yu. V. et al., 2003a:60107Wang, Xiang Jun2 see Huang, Zhi Yuan et al., 2003g:60119Watanabe,Hisao see Deck, Thomas et al., 2003g:60117

46F30 Generalized functions for nonlinear analysis (Rosinger,Colombeau, nonstandard, etc.)

Damyanov, Blagovest Mikusinski type products of distributions in Colombeau algebra.(English summary) 2003c:46054

Further results on Mikusinski type products of the distributions xa± in Colombeaualgebra. (English summary) 2003g:46045

Results on balanced products of distributions in Colombeau algebra. (English summary)2003f:46062

Dapic, N. (with Kunzinger, Michael; Pilipovic, Stevan S.) Symmetry group analysis ofweak solutions. 2003f:46063

Khrennikov, Andrei see Smolyanov,O. G. et al., 2003i:46040Kunzinger,Michael (with Steinbauer, Roland) Generalized pseudo-Riemannian geometry.


see also Dapic, N. et al., 2003f:46063Pilipovic, Stevan S. see Dapic, N. et al., 2003f:46063Ramadan, Sabra On algebra of new generalized functions Lα(S

αα (R)). (English and Arabic


Shelkovich,V. M. see Smolyanov,O. G. et al., 2003i:46040

Smolyanov,O. G. (with Khrennikov, Andrei; Shelkovich, V. M.) Multiplicative structuresin a linear space of vector-valued distributions. (Russian) 2003i:46040

Steinbauer, Roland see Kunzinger, Michael, 2003g:46046


Damyanov, Blagovest Results on singular distribution products of Mikusinski type.(English summary) 2003f:46060

Deguchi, Hideo Generalized solutions of nonlinear diffusion equations. (English summary)2003a:35105

Grosser, Michael (with Kunzinger, Michael; Oberguggenberger, Michael; Steinbauer,Roland) Geometric theory of generalized functions with applications to generalrelativity. (English summary) 2003d:46105(with Kunzinger, Michael; Steinbauer, Roland; Vickers, J. A.) A global theory ofalgebras of generalized functions. (English summary) 2003a:46108

Heinzle, J. Mark (with Steinbauer, Roland) Remarks on the distributional Schwarzschildgeometry. (English summary) 2003b:83009

Khrennikov, Andrei (with Shelkovich, V. M.; Smolyanov, O. G.) Locally convex spacesof vector-valued distributions with multiplicative structures. (English summary)2003k:46045

Kunzinger, Michael (with Steinbauer, Roland) Foundations of a nonlinear distributionalgeometry. (English summary) 2003e:46125

Generalized functions valued in a smooth manifold. (English summary) 2003h:46109see also Grosser, Michael et al., 2003a:46108 and 2003d:46105

Ligeza, Jan On a two point boundary value problem for linear differential equations of thefourth order in the Colombeau algebra. (English summary) 2003b:34034

Nedeljkov, Marko Infinitely narrow soliton solutions to systems of conservation laws.(English summary) 2003c:35113

Oberguggenberger,Michael see Grosser, Michael et al., 2003d:46105Romashevskiı, A. B. Weierstrass transformation in algebra of mnemofunctions.

2003f:46061

Weierstrass transformation in algebra of mnemofunctions. 2003c:46053Shelkovich, V. M. see Khrennikov, Andrei et al., 2003k:46045Smolyanov,O. G. see Khrennikov, Andrei et al., 2003k:46045Steinbauer, Roland see Grosser, Michael et al., 2003a:46108;2003d:46105;Heinzle, J. Mark,

2003b:83009 and Kunzinger,Michael, 2003e:46125Vickers, J. A. see Grosser, Michael et al., 2003a:46108

46F99 None of the above, but in this section

Ito, Yoshifumi Methods of renormalization and distributions. (English summary)2003a:46063


Beyer, Horst R. see Kempfle, Siegmar et al., 2003k:26012Chung, Soon-Yeong Quasianalyticity of positive definite continuous functions. (English


Cohen, Joel M. (with Colonna, Flavia) Analytic eigendistributions and applications tohomogeneous trees. (English summary) 2003k:31009

Colonna, Flavia see Cohen, Joel M., 2003k:31009Kempfle, Siegmar (with Schafer, Ingo; Beyer, Horst R.) Fractional calculus via functional

calculus: theory and applications. (English summary) 2003k:26012Khakshournia,S. (with Mansouri, Reza) Sign function and gluing of space-time manifolds

within the distributional method. (English and Russian summaries) 2003f:83110Khrennikov, Andrei Суперанализ. (Russian. Russian summary) [Superanalysis]

2003i:58016Lapinova, S. A. see Saichev, A. I., 2003a:76096Mansouri, Reza see Khakshournia,S., 2003f:83110Radyna,M. Functionals with values in the non-Archimedean field of Laurent series

and their applications to the equations of elasticity theory. I. (English and Lithuaniansummaries) 2003m:30092

Saichev, A. I. (with Lapinova, S. A.) Supersingular functions and their application inmechanics. (Russian. English and Russian summaries) 2003a:76096

Schafer, Ingo see Kempfle, Siegmar et al., 2003k:26012Serovaıskiı, S. Ya. The Cauchy principle in problems of mathematical physics. (Russian.

English, Russian and Kazakh summaries)

46Gxx Measures, integration, derivative, holomorphy(all involving infinite-dimensional spaces)[see also 28–XX, 46Txx]

Items with secondary classifications in 46Gxx

Deville, Robert (with Ghoussoub, Nassif) Perturbed minimization principles andapplications. (English summary) 2003b:49012

Ghoussoub, Nassif see Deville, Robert, 2003b:49012

46G05 Derivatives [see also 46T20, 58C20, 58C25]

Accardi, Luigi (with Smolyanov, O. G.) Representations of Levy Laplacians and relatedsemigroups and harmonic functions. (Russian) 2003g:46047

(with Smolyanov, O. G.) Levy-Laplace operators in spaces of functions on rigged Hilbertspaces. (Russian) 2003k:46055

Azagra, Daniel (with Jimenez Sevilla,Mar) On the size of the sets of gradients of bumpfunctions and starlike bodies on the Hilbert space. (English summary) 2003k:46056

Cheng, Li Xin see Teng, Yan Mei, 2003m:46071Fu, Shang Pu see Yang, Ze Heng et al.

Gaspari, T. On the range of the derivative of a real-valued function with bounded support.(English summary) 2003k:46057

Jimenez Sevilla,Mar see Azagra, Daniel, 2003k:46056

46G Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces)1217 2003 46G10


Lindenstrauss, Joram (with Preiss, David) On Frechet differentiability of Lipschitz mapsbetween Banach spaces. (English summary) 2003k:46058see also Johnson,William B. et al., 2003a:46064

Mordukhovich,Boris S. (with Wang, Bingwu) Extensions of generalized differentialcalculus in Asplund spaces. (English summary) 2003h:46065

Preiss, David see Johnson, William B. et al., 2003a:46064 and Lindenstrauss, Joram,2003k:46058

Sadygov,M. A. On a property of a higher-order subdifferential. (Russian. English andAzerbaijani summaries) 2003c:46055

Saito, Kimiaki Infinite dimensional Cauchy process associated with the Levy Laplacian.Schechtman,Gideon see Johnson,William B. et al., 2003a:46064Smolyanov,O. G. see Accardi, Luigi, 2003g:46047 and 2003k:46055

Teng, Yan Mei (with Cheng, Li Xin) Differentiability of Lipschitzian functions on smallsets. (Chinese. English and Chinese summaries) 2003m:46071

Turinici, Mihai Differential mean value properties for quasi-continuous functions. III.(English summary) 2003c:46056

Wang, Bingwu see Mordukhovich, Boris S., 2003h:46065Wu, Ding Ping A note on differentiablemappings in Banach spaces. (English and Chinese

summaries) 2003b:46060

Xiong,Ming see Yang, Ze Heng, 2003m:46072Yang, Ze Heng (with Fu, Shang Pu; Zuo, Guo Chao) The properties of higher-order

derivatives in a class of Banach spaces. (Chinese. English and Chinese summaries)(with Xiong, Ming) Analysis properties and examples for a class of Banach spaces.(Chinese. English and Chinese summaries) 2003m:46072

Zuo, Guo Chao see Yang, Ze Heng et al.

Items with secondary classifications in 46G05

Azagra, Daniel (with Jimenez Sevilla, Mar) Geometrical and topological properties ofbumps and starlike bodies in Banach spaces. 2003j:46013(with Ferrera Cuesta, Juan) Every closed convex set is the set of minimizers of someC∞-smooth convex function. (English summary) 2003d:49009


Biliotti, Leonardo (with Mercuri, Francesco; Tausk, Daniel Victor) A note on tensor fieldsin Hilbert spaces. (English and Portuguese summaries) 2003b:58006

Borwein, JonathanM. (with Fabian, Marian J.; Loewen, P. D.) The range of the gradientof a Lipschitz C 1-smooth bump in infinite dimensions. (English summary) 2003j:58011

Casevitz, Pierre The complexity of subdifferentiation and its inverse on convex functions inBanach spaces. (English summary) 2003k:46024

Dinh Thé Lu. c see Huynh Van Ngai et al., 2003d:49025Dobrowolski, Tadeusz Weak bump functions and applications. (English summary)

2003j:46121

Dyakonov, KonstantinM. Differentiation in star-invariant subspaces. I. Boundedness andcompactness. (English summary) 2003g:30060

Differentiation in star-invariant subspaces. II. Schatten class criteria. (English summary)2003g:30061

see also Errata: “Differentiation in star-invariant subspaces. I. Boundedness andcompactness”

Fabian,Marian J. see Borwein, JonathanM. et al., 2003j:58011Ferrera Cuesta, Juan see Azagra, Daniel, 2003d:49009Fry, Robb (with McManus, S.) Smooth bump functions and the geometry of Banach

spaces: a brief survey. (English summary) 2003g:46009Giles, J. R. (with Sciffer, Scott) Concerning differentiability properties of locally Lipschitz

functions. (English summary) 2003b:49011A subdifferential characterisation of Banach spaces with the Radon-Nikodym property.(English summary) 2003g:46018

Ginchev, Ivan (with Ivanov, Vsevolod Ivanov) Higher order directional derivatives fornonsmooth functions. 2003k:49036

He, Qing Hai see Yang, Fu Chun et al.

Huynh Van Ngai (with Dinh Thé Lu. c; Thera, Michel) Extensions of Frechet ε-subdifferential calculus and applications. (English summary) 2003d:49025

Isac, George (with Nemeth, S. Z.) Scalar derivatives and scalar asymptotic derivatives:properties and some applications. 2003m:49027

Ivanov, Vsevolod Ivanov seeGinchev, Ivan, 2003k:49036Ji, Un Cig Cauchy problems in white noise analysis and an application to finite dimen-

sional PDEs. (English summary) 2003e:60155

Jimenez Sevilla,Mar see Azagra, Daniel, 2003j:46013Kruger, A. Ya. Strict (ε, ')-subdifferentials and extremality conditions. (English summary)

2003g:49026Kuo, Hui-Hsiung (with Obata, Nobuaki; Saito, Kimiaki) Diagonalization of the Levy

Laplacian and related stable processes. (English summary) 2003h:60105Loewen, P. D. see Borwein, JonathanM. et al., 2003j:58011Lupulescu,Vasile On differentiability with respect to parameters of the Lebesgue integral.


Ma, Jipu see Shi, Ping, 2003d:58016Mackey, Michael T. (with Mellon, P.) On an angular derivative result of Fan. (English


McManus,S. see Fry, Robb, 2003g:46009Mellon, P. see Mackey, Michael T., 2003g:58003Mercuri, Francesco see Biliotti, Leonardo et al., 2003b:58006Nemeth, S. Z. see Isac, George, 2003m:49027Obata, Nobuaki see Kuo, Hui-Hsiung et al., 2003h:60105Orlov, I. V. A finite increment formula for mappings into inductive scales of spaces.

(Russian. English, Russian andUkrainian summaries) 2003d:46004

Powers, Robert C. (with Riedel, Thomas; Sahoo, Prasanna K.) Flett’s mean value theoremin topological vector spaces. (English summary) 2003c:58007

Qiao, Ke Lin see Yang, Fu Chun et al.

Riedel, Thomas see Powers, Robert C. et al., 2003c:58007Sahoo, Prasanna K. see Powers, Robert C. et al., 2003c:58007Saito, Kimiaki (with Tsoi, Allanus H.) Stochastic processes generated by functions of the

Levy Laplacian. (English summary) 2003f:60121see also Kuo, Hui-Hsiung et al., 2003h:60105

Sciffer, Scott see Giles, J. R., 2003b:49011Shi, Ping (with Ma, Jipu) Properties for the preimage of a generalized regular value on

Banach spaces. (English and Chinese summaries) 2003d:58016Somasundaram, Sivajah A Gateaux differentiability space that is not weak Asplund.

2003j:46021Steinberg, Stanly L. see Zingano,Paulo R., 2003g:42036Su, Meng Global one-to-one and surjection by means of attraction basins. (English


Su, Yong Fu see Xu, Yong Chun

Tausk, Daniel Victor see Biliotti, Leonardo et al., 2003b:58006Thera, Michel see Huynh Van Ngai et al., 2003d:49025Tsoi, Allanus H. see Saito, Kimiaki, 2003f:60121Voiculescu, Dan Cyclomorphy. 2003a:46092

Xu, Yong Chun (with Su, Yong Fu) Differential mean value theorem in curved Banachspaces and the application. (Chinese. English and Chinese summaries)

Yang, Fu Chun (with He, Qing Hai; Qiao, Ke Lin) Three results on subdifferentials in -smooth Banach spaces. (Chinese. English and Chinese summaries)

Zabreıko, Petr P. A global homeomorphism theorem for Gateaux differentiablemappings.(Russian. English and Russian summaries) 2003m:47124

Zeleny, Miroslav An example of a C 1,1 function, which is not a d.c. function. (Englishsummary) 2003d:46025

Zingano, Paulo R. (with Steinberg, Stanly L.) On the Hardy-Littlewood theorem forfunctions of bounded variation. (English summary) 2003g:42036


Errata:

“Differentiation in star-invariant subspaces. I. Boundedness and compactness” Erratumto: “Differentiation in star-invariant subspaces. I. Boundedness and compactness” [J.Funct. Anal. 192 (2002), no. 2, 364–386;MR 2003g:30060] by K. M. Dyakonov.

46G10 Vector-valued measures and integration [see also 28Bxx,46B22]

Chen, De (with Yang, Ya Li) Vector measures with values in the strong dual of a quasi-barreled space. (Chinese. English and Chinese summaries)

D’Antoni, Claudio (with Zsido, Laszlo) Analytic extension of vector valued functions.(English summary) 2003e:46066

Di Piazza, L. (with Marraffa, V.) An equivalent definition of the vector-valuedMcShaneintegral by means of partitions of unity. (English summary) 2003e:46067

Habil, Eissa D. (with Radwan, AkramM.) Decomposition of measures on differenceposets. (English summary) 2003f:46064

Kawabe, Jun Weak convergence of injective tensor products of vector measures. (Englishsummary) 2003g:46048

Kusraev, A. G. (with Malyugin, S. A.) Vector measures and dominated mappings. (see2003f:46001)

Malyugin, S. A. see Kusraev, A. G., (2003f:46001)Marraffa, V. see Di Piazza, L., 2003e:46067Michalak, Artur On the Fubini theorem for the Pettis integral for bounded functions.


Radwan, Akram M. see Habil, Eissa D., 2003f:46064Romanov, V. A. Continuous translations of vector measures. (English summary)

2003d:46054Sanchez Perez, Enrique A. Convexity and polynomial equations in Banach spaces with the

Radon-Nikodym property. (English summary) 2003e:46069Compactness arguments for spaces of p-integrable functions with respect to a vectormeasure and factorization of operators through Lebesgue-Bochner spaces. (Englishsummary) 2003d:46055

Schwabik, Stefan Operator-valued functions of bounded semivariation and convolutions.(English summary) 2003a:46065

Yang, Ya Li see Chen, De

Zsido, Laszlo see D’Antoni, Claudio, 2003e:46066


Balder, Erik J. A Fatou lemma for Gelfand integrals by means of Young measure theory.(English summary) 2003i:28014

Barcenas, Diomedes Weak compactness criteria for set valued integrals and RadonNikodym theorem for vector valued multimeasures. (English summary) 2003c:28013

Blasco, Oscar (with Gregori, Pablo;Calabuig, Jose M.) Finite semivariation and regulatedfunctions by means of bilinear maps. (English summary) 2003d:26010

Boccuto, Antonio (with Candeloro, Domenico) Dieudonne-type theorems for set functionswith values in (l)-groups. (English summary) 2003f:28024

(with Candeloro, Domenico) Vitali and Schur-type theorems for Riesz-space-valued setfunctions. 2003f:28020


Brink, H. E. (with Maritz, P.) Integration of multifunctions with respect to a multimea-sure. (English summary) 2003f:28025

Brooks, James K. (with Wright, John David Maitland) Representing Yosida-Hewittdecompositions for classical and non-commutative vector measures. (English summary)2003g:46072

Bruzual, Ramon (with Domınguez, Marisela) Representation of operator valuedmeasurable indefinite functions. 2003d:47051

Calabuig, Jose M. see Blasco, Oscar et al., 2003d:26010Candeloro, Domenico see Boccuto, Antonio, 2003f:28020 and 2003f:28024

Canoy, Sergio R., Jr. see Paluga, RolandoN., 2003a:26010

FUNCTIONAL ANALYSIS46G10 2003 1218

Chistyakov, VyacheslavV. Metric-valued mappings of bounded variation. 2003g:26010

Cichon,M. Convergence theorems for the Henstock-Kurzweil-Pettis integral. (Englishsummary) 2003f:26009

Cornet, Bernard (with Medecin, J.-P.) Fatou’s lemma for Gelfand integrablemappings.(English summary) 2003h:28019

Curbera, Guillermo P. (with Ricker, Werner J.) Optimal domains for kernel operators viainterpolation. (English summary) 2003g:47045

Debieve, Camille (with Duchon, Miloslav; Duhoux, Michel) A Helly theorem in the settingof Banach spaces. (English summary) 2003g:44009


Dineen, Sean see Boyd, Christopher et al., 2003k:46062

Domınguez,Marisela see Bruzual, Ramon, 2003d:47051

Drewnowski, Lech (with Wnuk, Witold) On the modulus of measures with values intopological Riesz spaces. (English summary) 2003m:28013

Duchon,Miloslav see Debieve, Camille et al., 2003g:44009

Duhoux,Michel see Debieve, Camille et al., 2003g:44009

Federson,Marcia A constructive integral equivalent to the integral of Kurzweil. (Englishsummary) 2003d:26011

Ferrando, Juan Carlos On sums of Pettis integrable random elements. (English summary)2003h:28020

Gregori, Pablo see Blasco, Oscar et al., 2003d:26010

Heinonen,Teiko (with Lahti, Pekka; Pellonpaa, Juha-Pekka) Covariant phase differenceobservables in quantummechanics. (English summary) 2003m:81052

Jimenez Guerra, Pedro (with Munoz-Bouzo, Marıa Jose) On a theorem of Strassen forvector-valuedmeasures. (English summary) 2003i:28015

Kadets, Vladimir M. (with Shumyatskiı, B. M.; Shvidkoy, Roman; Tseytlin, L.; Zheltukhin,K.) Some remarks on vector-valued integration. (English summary) 2003g:28026

Kawabe, Jun Recent development in the theory of weak convergence of vector measures.(English summary)

Compactness and metrizability in the space of vector measures in locally convex spaces.(English summary) 2003e:28033

Joint continuity of injective tensor products of vector measures in Banach lattices.(English summary) 2003k:28007

Kurzweil, Jaroslav Integration between the Lebesgue integral and the Henstock-Kurzweilintegral. 2003e:26012

Lahti, Pekka see Heinonen,Teiko et al., 2003m:81052

Liu, Ke see Zhang,Qiang2, 2003k:28003

Maritz, P. see Brink, H. E., 2003f:28025

Matsuda,Minoru A note on Pettis decomposability and Pettis integrability for boundedfunctions taking their ranges in dual Banach spaces. (English summary) 2003i:28016

Medecin, J.-P. see Cornet, Bernard, 2003h:28019

Meziani, Lakhdar Integral representation for a class of vector valued operators. (Englishsummary) 2003e:28037

Munoz-Bouzo,Marıa Jose see Jimenez Guerra, Pedro, 2003i:28015

Neeb, Karl-Hermann (with Ørsted, Bent) Representation in L2-spaces on infinite-dimensional symmetric cones. (English summary) 2003k:22029

Ørsted, Bent see Neeb, Karl-Hermann, 2003k:22029

de Pagter, B. (with Witvliet, H.; Sukochev, F. A.) Double operator integrals. (Englishsummary) 2003g:46075

Paluga, RolandoN. (with Canoy, Sergio R., Jr.) The Henstock integral in topologicalvector spaces. (English summary) 2003a:26010

Panchapagesan,T. V. A Borel extension approach to weakly compact operators on C0(T ).(English summary) 2003a:47069

Pellonpaa, Juha-Pekka see Heinonen, Teiko et al., 2003m:81052

Popa, Dumitru Some series connected with the Dunford, Pettis and Bochner integrability.(English summary) 2003a:28020

Randrianantoanina,Narcisse Banach spaces with complete continuity properties. (Englishsummary) 2003a:46056

Ricker, Werner J. see Curbera, Guillermo P., 2003g:47045

Roth,Walter Integral representations for continuous linear functionals in operator-initiatedtopologies. (English summary) 2003d:46007

Rueda,Maria Pilar see Boyd, Christopher et al., 2003k:46062

Schwabik, Stefan see Ye, Guoju, 2003b:28010

Seung, Byong In Notes on the McShane-Stieltjes integrability. (English summary)2003c:28012

Shortt, R. M. A base space approach to weak topologies and sequential compactness forspaces of vector measures. (English summary) 2003f:46039

Shumyatskiı, B. M. see Kadets, Vladimir M. et al., 2003g:28026

Shvidkoy, Roman see Kadets, Vladimir M. et al., 2003g:28026

Solodov, A. P. A Riemann-type definition for the restricted Denjoy-Bochner integral.(Russian. English and Russian summaries) 2003a:26011

Sukochev,F. A. see de Pagter, B. et al., 2003g:46075

Swart, Johan1 see Diestel, Joe, 2003m:46001

Tseytlin, L. see Kadets, Vladimir M. et al., 2003g:28026

VillanuevaDıez, Ignacio Some results concerning polymeasures. (English summary)2003b:28001

Measures on the product of compact spaces. (English summary) 2003k:28009

Integral mappings between Banach spaces. (English summary) 2003m:47118

Witvliet, H. see de Pagter, B. et al., 2003g:46075

Wnuk, Witold see Drewnowski, Lech, 2003m:28013

Wright, John David Maitland see Brooks, James K., 2003g:46072

Ye, Guoju (with Schwabik, Stefan) The McShane and the weak McShane integrals ofBanach space-valued functions defined on Rm . (English summary) 2003b:28010

Zhang,Qiang2 (with Liu, Ke) Decompositions of revised monotone signed fuzzymeasures. (English summary) 2003k:28003

Zheltukhin,K. see Kadets, Vladimir M. et al., 2003g:28026

46G12 Measures and integration on abstract linear spaces[see also 28C20, 46T12]

Chang, Kun Soo (with Kim, Byung Soo1; Song, Teuk Seob; Yoo, Il) Convolution andanalytic Fourier-Feynman transforms over paths in abstract Wiener space. (Englishsummary) 2003f:46065

Harai, Keiko (with Maeda, Michie) Rotation of cylindrical measures and measurablenorms. (Japanese)

Jefferies, Brian R. F. Integration structures for the operator-valued Feynman integral.(English summary) 2003k:46059

Kim, Byung Soo1 see Chang, Kun Soo et al., 2003f:46065Lee, Yuh-Jia (with Shih, Hsin-Hung) The Clark formula of generalizedWiener function-

als. (English summary) 2003k:46060

(with Shih, Cheng-Yuh) The Riesz representation theorem on infinite dimensionalspaces and its applications. (English summary) 2003e:46070

Liskowski, Marian Integral of function with values in complete modular space. (Englishsummary) 2003c:46057

Maeda, Michie see Harai, KeikoObata, Nobuaki Quantum white noise calculus based on nuclear algebras of entire

functions.Shih, Cheng-Yuh see Lee, Yuh-Jia, 2003e:46070Shih, Hsin-Hung see Lee, Yuh-Jia, 2003k:46060Song, Teuk Seob seeChang, Kun Soo et al., 2003f:46065Yoo, Il see Chang, Kun Soo et al., 2003f:46065


Chang, Kun Soo (with Hong, K. P.; Ryu, Kun Sik) Feynman’s operational calculus for asequential operator-valued function space integral. (English summary) 2003f:28021

Chang, Seung Jun (with Skoug, David) Parts formulas involving conditional Feynmanintegrals. (English summary) 2003d:28020

Hong, K. P. see Chang, Kun Soo et al., 2003f:28021Kim, Young Sik Relationships between Fourier-Feynman transforms and Wiener integrals

on abstract Wiener spaces. (English summary) 2003j:28037

Kulik, A. M. Log-Sobolev inequality, exponential integrability and large deviationestimates for C (α, ) log-concavemeasures. (English summary) 2003f:28034

Kusuoka, Shigeo Nonlinear transformation containing rotation and Gaussian measure.(English summary) 2003m:28018

Kwapien, Stanisław (with Tarieladze, V. I.) Mackey continuity of characteristic functionals.(English summary) 2003m:60010

Lyudkovskiı, S. V. Quasi-invariant and pseudodifferentiable real-valuedmeasures on non-Archimedean Banach spaces. (Russian. English and Russian summaries) 2003i:46085

Nakagami, Keiko An integral preserved by a translation on the space Γ0(D)⊕M0(D).(English summary) 2003d:46052

Obata, Nobuaki A note on coherent state representations of white noise operators.2003d:60132

Prasad, Ramawatar see Sah, Chandradeo Prasad, 2003m:28019

Ryu, Kun Sik (with Yoo, S. C.) The existence theorem and formula for an operator-valued function space integral over paths in abstractWiener space. (English summary)2003e:28034see also Chang, Kun Soo et al., 2003f:28021

Sah, Chandradeo Prasad (with Prasad, Ramawatar) Implications of Gaussian measures onthe Lp-spaces. (English summary) 2003m:28019

Shamarova, E. Yu. On the approximation of surface measures in a locally convex space.(Russian. Russian summary) 2003m:28020

Skoug, David see Chang, Seung Jun, 2003d:28020Sloan, Ian H. (with Wozniakowski, Henryk) Tractability of integration in non-periodic

and periodic weighted tensor product Hilbert spaces. (English summary) 2003e:46119Smolyanov,O. G. (with Tokarev, A. G.; Truman, Aubrey) Hamiltonian Feynman path

integrals via the Chernoff formula. (English summary) 2003i:58023Tarieladze, V. I. see Kwapien, Stanisław, 2003m:60010

Tokarev, A. G. see Smolyanov,O. G. et al., 2003i:58023Truman, Aubrey see Smolyanov,O. G. et al., 2003i:58023Uglanov, A. V. Surface integrals in locally convex spaces. (Russian. Russian summary)

2003e:46124

Ustunel, Ali Suleyman Properties of measure-preserving shifts on the Wiener space.(English summary) (see 2003f:60009)

Wozniakowski, Henryk see Sloan, Ian H., 2003e:46119Yoo, Il The analytic Feynman integral over paths in abstractWiener space. III. (English

summary) 2003h:28027Yoo, S. C. see Ryu, Kun Sik, 2003e:28034Zapała, August M. Construction and basic properties of Gaussian measures on Frechet

spaces. (English summary) 2003b:28012

Zegarlinski, Bogusław Entropy bounds for Gibbs measures with non-Gaussian tails.(English summary) 2003e:47081

46G20 Infinite-dimensional holomorphy [see also 32–XX, 46E50,46T25, 58B12, 58C10]

Attioui, Abdelbaki (with Azhari, A.) Linearisation des diffeomorphismes analytiques dansune algebre de Banach. [Linearization of analytic diffeomorphisms in a Banach algebra]2003k:46061

Azhari, A. see Attioui, Abdelbaki, 2003k:46061Boyd, Christopher (with Dineen, Sean; Rueda, Maria Pilar) Weakly uniformly contin-

uous holomorphic functions and the approximation property. (English summary)2003g:46049(with Dineen, Sean; Rueda, Maria Pilar) Locally Asplund spaces of holomorphicfunctions. 2003k:46062

Carrion V., Humberto D. Entire functions on Banach spaces with a separable dual. (Englishsummary) 2003b:46061

Dineen, Sean see Boyd, Christopher et al., 2003g:46049and 2003k:46062

46G Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces)1219 2003 46G99

Hamada,Hidetaka (with Kohr, Gabriela) Linear invariance of locally biholomorphicmappings in Hilbert spaces. (English summary) 2003e:46071

(with Kohr, Gabriela) Growth and distortion results for convexmappings in infinitedimensional spaces. (English summary) 2003e:46072

Kohr, Gabriela see Hamada, Hidetaka, 2003e:46071 and 2003e:46072

Laubin, P. A projective description of the space of holomorphic germs. (English summary)2003f:46066

Munoz,Gustavo A. (with Sarantopoulos, Yannis) Bernstein and Markov-type inequalitiesfor polynomials on real Banach spaces. (English summary) 2003e:46073

Patyi, Imre On a splitting problem. (English summary) 2003i:46041

Rueda,Maria Pilar see Boyd, Christopher et al., 2003g:46049 and 2003k:46062

Sarantopoulos, Yannis see Munoz, Gustavo A., 2003e:46073Zagorodnyuk, A. V. On maximal ideals of the algebra of entire functions in a Banach space.

(Ukrainian. English, Russian and Ukrainian summaries) 2003k:46063

Infinite-dimensional holomorphy and differential forms on Banach spaces. (Ukrainian.English, Russian and Ukrainian summaries) 2003k:46064

Zhu, Yu Can Differential subordinations of holomorphic mappings in Banach spaces.(Chinese. English and Chinese summaries) 2003g:46050



Aron, Richard M. (with Garcıa, Domingo; Maestre, Manuel) Linearity in non-linearproblems. (English and Spanish summaries) 2003b:46062

(with Galindo, Pablo; Lindstrom, Mikael) Connected components in the spaceof composition operators in H∞ functions of many variables. (English summary)2003m:47041





Burlandy, P. A. (with Moraes, Luiza A.) The spectrum of an algebra of weakly continuousholomorphic mappings. (English summary) 2003f:46072

Byun, Jisoo (with Gaussier, Herve; Kim, Kang-Tae) Weak-type normal families ofholomorphic mappings in Banach spaces and characterization of the Hilbert ball by itsautomorphism group. (English summary) 2003d:58015


Dıaz Alcaide, Juan Carlos see Defant, Andreas et al., 2003e:46054

Dineen, Sean see Boyd, Christopher et al., 2003j:46059Elin, Mark (with Reich, Simeon; Shoikhet, David) Asymptotic behavior of semigroups

of D-non-expansive and holomorphic mappings on the Hilbert ball. (English summary)2003k:47100

(with Harris, Lawrence A.; Reich, Simeon; Shoikhet, David) Evolution equations andgeometric function theory in J ∗-algebras. (English summary) 2003b:47093

Fernandez, Cecılia S. On new Banach spaces of analytic mappings. (English summary)2003a:46057

Galindo, Pablo (with Lourenco, M. Lilian; Moraes, Luiza A.) Compact and weaklycompact homomorphisms on Frechet algebras of holomorphic functions. (Englishsummary) 2003f:46076

see also Alencar, Raymundo et al., 2003m:46082 and Aron, Richard M. et al., 2003m:47041

Gamelin, T. W. (with Kislyakov, S. V.) Uniform algebras as Banach spaces. (Englishsummary) 2003b:46065

Garcıa, Domingo see Aron, Richard M. et al., 2003b:46062 and Defant, Andreas et al.,2003e:46054

Gaussier, Herve see Byun, Jisoo et al., 2003d:58015Harris, Lawrence A. see Elin, Mark et al., 2003b:47093Kim, Kang-Tae see Byun, Jisoo et al., 2003d:58015Kislyakov, S. V. see Gamelin, T. W., 2003b:46065Kubota, Yoshihisa Stable domains of automorphisms of Banach spaces at fixed points.


Kuczumow, Tadeusz (with Reich, Simeon; Shoikhet, David) Fixed points of holomorphicmappings: a metric approach. 2003f:58018

Lassalle, Silvia Some results concerning the determination of the polynomials on E by thedual space E′. (English summary) (see 2003f:00023)

Lindstrom, Mikael see Aron, Richard M. et al., 2003m:47041

Liu, Tai Shun see Zhang, Wen Jun1, 2003k:58007Lourenco, M. Lilian see Galindo, Pablo et al., 2003f:46076

Maestre, Manuel see Aron, Richard M. et al., 2003b:46062 and Defant, Andreas et al.,2003e:46054

Mauer, Murielle Domains of R-analytic existence in a real separable quojection. (Englishsummary) 2003b:46051

Moraes, Luiza A. see Burlandy, P. A., 2003f:46072 and Galindo, Pablo et al., 2003f:46076Ouerdiane,Habib see Ben Chrouda,Mohamed, 2003g:46044Plichko, Anatoliı (with Zagorodnyuk, A. V.) Isotropic mappings and automatic continuity

of polynomials, analytic and convex operators. (English summary) 2003d:46006

Reich, Simeon see Elin, Mark et al., 2003b:47093;2003k:47100 and Kuczumow, Tadeusz et

al., 2003f:58018RodrıguezPalacios, Angel see Becerra Guerrero, Julio et al., 2003j:46026Rueda,Maria Pilar see Boyd, Christopher et al., 2003j:46059Shoikhet,David see Elin, Mark et al., 2003b:47093; 2003k:47100 and Kuczumow, Tadeusz et

al., 2003f:58018Venkova, M. Properties of Q-reflexive Banach spaces. (English summary) 2003a:46034

Wood, Geoffrey V. see Becerra Guerrero, Julio et al., 2003j:46026

Zagorodnyuk, A. V. see Plichko, Anatoliı, 2003d:46006 and Alencar, Raymundo et al.,2003m:46082

Zhang, Wen Jun1 (with Liu, Tai Shun) On growth and covering theorems of quasi-convexmappings in the unit ball of a complex Banach space. (English summary) 2003k:58007

46G25 (Spaces of) multilinear mappings, polynomials[see also 46E50, 46G20, 47H60]

Aron, Richard M. (with Garcıa, Domingo; Maestre, Manuel) Linearity in non-linearproblems. (English and Spanish summaries) 2003b:46062(with Garcıa, Domingo; Maestre, Manuel) On norm attaining polynomials. (Englishsummary) 2003h:46066

Defant, Andreas (with Maestre, Manuel; Sevilla-Peris, Pablo) Cotype 2 estimates forspaces of polynomials on sequence spaces. (English summary) 2003h:46067

Dineen, Sean Extreme integral polynomials on a complex Banach space. (Englishsummary) 2003j:46064

Fernandez-Unzueta,Maite A new approach to unconditionality for polynomials on Banachspaces. (English summary) 2003i:46042

Ferrera Cuesta, Juan Norm-attaining polynomials and differentiability. (English summary)2003c:46058

Garcıa, Domingo see Aron, Richard M. et al., 2003b:46062 and 2003h:46066

Grecu, Bogdan C. Geometry of 2-homogeneous polynomials on lp spaces, 1< p<∞.(English summary) 2003h:46068

Extreme 2-homogeneous polynomials on Hilbert spaces. (English summary)2003j:46065

Hatori, Osamu see Takahasi, Sin-Ei et al., 2003k:46066Kim, SungGuen There are no denting points in the unit ball of P (2H ). (English summary)

2003k:46065Lassalle, Silvia Some results concerning the determination of the polynomials on E by the

dual spaceE′. (English summary) (see 2003f:00023)Maestre, Manuel see Aron, Richard M. et al., 2003b:46062; 2003h:46066 and Defant,

Andreas et al., 2003h:46067Miura, Takeshi see Takahasi, Sin-Ei et al., 2003k:46066Sevilla-Peris, Pablo see Defant, Andreas et al., 2003h:46067Takahasi, Sin-Ei (with Hatori, Osamu; Watanabe,Kei-ichi; Miura, Takeshi) A note on a

class of Banach algebra-valued polynomials. (English summary) 2003k:46066

Watanabe,Kei-ichi see Takahasi, Sin-Ei et al., 2003k:46066Zagorodnyuk, A. V. An inverse mapping theorem for polynomial operators in Hilbert

spaces. (Ukrainian. English, Russian and Ukrainian summaries)



Concordido, Claudia F. R. (with Pombo, Dinamerico P., Jr.) Polynomials and multilinearmappings in topological modules. (English summary) 2003d:46057


Dıaz Alcaide, Juan Carlos see Defant, Andreas et al., 2003e:46054Garcıa, Domingo see Defant, Andreas et al., 2003e:46054Maestre, Manuel see Defant, Andreas et al., 2003e:46054Melendez, Y. (with Tonge, A.) Polynomials and the Pietsch domination theorem. (English


Plichko, Anatoliı (with Zagorodnyuk, A. V.) Isotropic mappings and automatic continuityof polynomials, analytic and convex operators. (English summary) 2003d:46006

Pombo, Dinamerico P., Jr. see Concordido, Claudia F. R., 2003d:46057Sanchez Perez, Enrique A. Convexity and polynomial equations in Banach spaces with the

Radon-Nikodym property. (English summary) 2003e:46069Tonge, A. see Melendez,Y., 2003e:46026Venkova, M. Properties of Q-reflexive Banach spaces. (English summary) 2003a:46034

Villanueva Dıez, Ignacio see Bombal, Fernando,2003e:47106Zagorodnyuk, A. V. see Plichko, Anatoliı, 2003d:46006

46G99 None of the above, but in this section

Borwein, JonathanM. (with Vanderwerff, Jon D.) Convex functions of Legendre type ingeneral Banach spaces. (English summary) 2003g:46051

Vanderwerff, Jon D. see Borwein, JonathanM., 2003g:46051


Ambrosio, Luigi (with Kirchheim, Bernd) Rectifiable sets in metric and Banach spaces.2003a:28009

Bachir, Mohammed A non-convex analogue to Fenchel duality. (English summary)2003e:49050

Burachik, Regina Sandra (with Svaiter, B. F.) Maximal monotone operators, convexfunctions and a special family of enlargements. (English summary) 2003k:90085

Cheng, Li Xin (with Ruan, Ying-bin; Teng, Yan Mei) Approximation of convex functionson the dual of Banach spaces. (English summary) 2003d:46017

Gao, Yan1 (with Xia, Zun Quan; Zhang, Li-Wei) Kernelled quasidifferential for aquasidifferentiable function in two-dimensional space. (English summary) 2003e:49028

Kirchheim, Bernd see Ambrosio, Luigi, 2003a:28009Petrusel, Adrian Multi-functii si aplicatii. (Romanian) [Multifunctions and applications]

2003c:54035

Rolewicz, Stefan On the coincidence of some subdifferentials in the class of α(·)-paraconvex functions. (English summary) 2003e:49033

Ruan, Ying-bin see Cheng, Li Xin et al., 2003d:46017Smirnov, E. I. Hausdorff spectra in functional analysis. 2003m:46107

Svaiter, B. F. see Burachik, Regina Sandra, 2003k:90085Teng, Yan Mei see Cheng, Li Xin et al., 2003d:46017(Tweddle, Ian) see Smirnov, E. I., 2003m:46107

FUNCTIONAL ANALYSIS46G99 2003 1220

Xia, Zun Quan see Gao, Yan1 et al., 2003e:49028Xu, Yao Qun see Zhang, Li1 et al.

Yang, Dian Jun see Zhang, Li1 et al.


Zhang, Li1 (with Xu, Yao Qun; Yang, Dian Jun) Three kinds of absolute continuousfunctions of orderK on sequence spaces. (Chinese. English and Chinese summaries)

Zhang, Li-Wei see Gao, Yan1 et al., 2003e:49028

46Hxx Topological algebras, normed rings and algebras,Banach algebras For group algebras, convolutionalgebras and measure algebras, see 43A10,43A20.

46H05 General theory of topological algebras

Al-Sayyad,Siham Jalal Sequentiallym-barrelled algebras. 2003a:46066

Arizmendi Peimbert, Hugo (with Harte, Robin E.) Almost openness in topological vectorspaces. (English summary) 2003a:46067

Barnes, Bruce A. Fredholm theory in an algebra with respect to a Banach subalgebra.(English summary) 2003e:46074


Berenguer, M. Isabel (with Villena Munoz, Armando R.) Lie maps in Banach algebras.(Spanish) (see 2003a:00034)

Boudi, Nadia Banach algebras in which every left ideal is countably generated.2003h:46069

Bresar, Matej On automorphisms of Banach algebras. (English summary) 2003a:46068

Cao, Huai Xin (with Dai, Shi Xun) Some properties of unit-preserving linear mappingsbetween Banach algebras. (Chinese. English and Chinese summaries) 2003a:46069

Castro Gonzalez, Nieves (with Koliha, J. J.; Wei, Yi-Min) On integral representations ofthe Drazin inverse in Banach algebras. (English summary) 2003e:46075

Dai, Shi Xun see Cao, Huai Xin, 2003a:46069Desquith, Etienne The Banach algebra induced by a double centralizer. (English summary)

2003k:46067Glockner, Helge Algebras whose groups of units are Lie groups. (English summary)

2003j:46066

Harte, Robin E. see Arizmendi Peimbert, Hugo, 2003a:46067Khan, Liaqat Ali1 see Mohammad,N. et al., 2003g:46053Khosravi, Amir (with Khosravi, Behrooz) Generalization of Dirichlet’s test and Abel’s test.

(English summary) 2003g:46052Khosravi, Behrooz see Khosravi, Amir, 2003g:46052Koliha, J. J. seeCastro Gonzalez, Nieves et al., 2003e:46075Lindeboom, L. (with Raubenheimer, H.) On regularities and Fredholm theory. (English


Mohammad,N. (with Khan, Liaqat Ali1; Thaheem, A. B.) On closed range multipliers ontopological algebras. (English summary) 2003g:46053

Mouton,H. du T. (with Mouton, S.) Domination properties in ordered Banach algebras.(English summary) 2003e:46076

Mouton,S. see Mouton,H. du T., 2003e:46076Nacir, Chafik see Bensalem, Jawad, 2003f:46067Pan, Zhidong The Cayley transform of Banach algebras. (English summary) 2003c:46059

Pirkovskii, A. Yu. Biprojective topological algebras of homological bidimension 1.2003h:46071

Raubenheimer,H. see Lindeboom, L., 2003h:46070Sebestyen,Zoltan A seminorm with square property on a complex associative algebra is

submultiplicative. (English summary) 2003b:46063Thaheem, A. B. see Mohammad,N. et al., 2003g:46053VillenaMunoz, Armando R. see Berenguer, M. Isabel, (2003a:00034)Wei, Yi-Min see Castro Gonzalez, Nieves et al., 2003e:46075

Items with secondary classifications in 46H05

An, Guimei (with Hou, Jin Chuan) Characterizations of isomorphisms by multiplicativemaps on operator algebras. (English summary) 2003m:47067

As’ad, As’ad Y. (with Sarsuor, Jasser H.) Centrality in BL(X ), the Banach algebra ofbounded linear operators. (English and Arabic summaries) 2003f:47119

Barnes, Bruce A. The spectral theory of upper triangular matrices with entries in a Banachalgebra. (English summary) 2003e:47004

Bart, Harm (with Ehrhardt, Torsten; Silbermann, Bernd) Sums of idempotents in theBanach algebra generated by the compact operators and the identity. (English summary)2003h:47134

Cahen, Paul-Jean (with Chabert, Jean-Luc) On the ultrametric Stone-Weierstrass theoremand Mahler’s expansion. (English and French summaries) 2003g:46086

Chabert, Jean-Luc see Cahen, Paul-Jean, 2003g:46086Chang, Ick-Soon see Lee, Eun Hwi et al., 2003e:16041Cui, Jian Lian (with Hou, Jin Chuan) The spectrally bounded linear maps on operator

algebras. (English summary) 2003a:47079

Dales, H. G. (with Laustsen, Niels Jakob; Read, Charles J.) A properly infinite Banach ∗-algebra with a non-zero, bounded trace. (English summary) 2003m:46084

Diarra, Bertin Continuous coderivations of complete ultrametric Hopf algebras. (Englishsummary) 2003a:46105

Djordjevic, Dragan S. (with Wei, Yi-Min) Additive results for the generalized Drazininverse. (English summary) 2003e:47002

Dosiev, Anar Spectra of infinite parametrized Banach complexes. (English summary)2003m:47010

Dutta, Tarini Kumar (with Nath, H. K.; Sarmah, H. K.) Compact Hermitian operators onprojective tensor products of Banach algebras. (English summary) 2003c:47039

Ehrhardt, Torsten see Bart, Harm et al., 2003h:47134

El Kinani, Abdellah (with Nejjari, M. A.; Oudadess, M.) A version of Vidav Palmer’stheorem form-convex algebras. (English summary) 2003g:46061

On locally pre-C ∗-algebra structures in locally m-convexH ∗-algebras. (Englishsummary) 2003g:46062

Esterle, Jean (with Mokhtari, Abdelkader) Distance entre elements d’un semi-groupe dansune algebre de Banach. (English and French summaries) [Distance between elements ofa semigroup in a Banach algebra] 2003i:47043

Hedayatian,K. A remark on norms onMn(A ). (English summary) 2003e:46104

Hou, Jin Chuan see Cui, Jian Lian, 2003a:47079and An, Guimei, 2003m:47067

Jung, Yong-Soo see Lee, Eun Hwi et al., 2003e:16041Kokk, Arne Spectral systems with the one-way spectral mapping property. (English


Lafforgue, Vincent Banach KK -theory and the Baum-Connes conjecture. (Englishsummary) 2003k:19006

Laustsen, Niels Jakob see Dales, H. G. et al., 2003m:46084

Lee, Eun Hwi (with Jung, Yong-Soo; Chang, Ick-Soon) Derivations on prime and semi-prime rings. (English summary) 2003e:16041

Mokhtari, Abdelkader see Esterle, Jean, 2003i:47043Mustafaev, G. S. Banach algebras with bounded groups of generators, and the Schur

property. (Russian. Russian summary) 2003i:46047

Nakamoto, Ritsuo (with Takahasi, Sin-Ei) Norm equality condition in triangularinequality. (English summary) 2003b:46019

Nath, H. K. see Dutta, Tarini Kumar et al., 2003c:47039Nejjari, M. A. see El Kinani, Abdellah et al., 2003g:46061Oudadess, M. see El Kinani, Abdellah et al., 2003g:46061Read, Charles J. see Dales, H. G. et al., 2003m:46084

Sarmah, H. K. see Dutta, Tarini Kumar et al., 2003c:47039Sarsuor, Jasser H. see As’ad, As’ad Y., 2003f:47119Silbermann, Bernd see Bart, Harm et al., 2003h:47134Takahasi, Sin-Ei see Nakamoto, Ritsuo, 2003b:46019

Wei, Yi-Min see Djordjevic, Dragan S., 2003e:47002Xia, Jingbo Joint mean oscillation and local ideals in the Toeplitz algebra. II. Local

commutivity and essential commutant. (English summary) 2003g:47052

46H10 Ideals and subalgebras

Akkar, Mohamed (with Nacir, Chafik; Bensalem, Jawad) Spectral ideals and spectralsubalgebras of an algebra. (English summary) 2003k:46068

Bensalem, Jawad see Akkar, Mohamed et al., 2003k:46068Choukri, Rachid Sur un resultat de type Gelfand-Mazur. (English summary) [On a

Gel′fand-Mazur-type result] 2003m:46073

Deng, ShengHua Construction of the Riesz extension of an ideal. (Chinese. English andChinese summaries)

El Kinani, Abdellah (with Najmi, A.; Oudadess, M.) One sided Banach algebras. (Englishsummary) 2003f:46068

Nacir, Chafik see Akkar, Mohamed et al., 2003k:46068Najmi, A. see El Kinani, Abdellah et al., 2003f:46068Oudadess, M. see El Kinani, Abdellah et al., 2003f:46068VelazquezGonzalez, Armando (with Wawrzynczyk, Antoni) The projection property of a

family of ideals in subalgebras of Banach algebras. (English summary) 2003m:46074

Wawrzynczyk, Antoni An approach to joint Shilov boundaries. (English summary)2003k:46069

see also VelazquezGonzalez,Armando, 2003m:46074


Bae, Jae-Hyeong see Park, Kyoo-Hong et al., 2003a:46070


Davidson, Kenneth R. (with Katsoulis, Elias) Primitive limit algebras and C ∗-envelopes.(English summary) 2003h:47140

Feinstein, J. F. (with Kaniuth, Eberhard; Somerset, D. W. B.) Spectral synthesis andtopologies on ideal spaces for Banach ∗-algebras. (English summary) 2003i:46054

Jung, Yong-Soo see Park, Kyoo-Hong et al., 2003a:46070Kaniuth, Eberhard see Feinstein, J. F. et al., 2003i:46054Katsoulis, Elias see Davidson, Kenneth R., 2003h:47140Laustsen, Niels Jakob Maximal ideals in the algebra of operators on certain Banach spaces.


Lauter, Robert (with Monthubert, Bertrand; Nistor, Victor) Invariance spectrale desalgebres d’operateurs pseudodifferentiels. (English and French summaries) [Spectralinvariance of algebras of pseudodifferential operators] 2003g:47129

Lu, Fang-yan Jordan isomorphisms of nest algebras. (English summary) 2003f:47121

Monthubert,Bertrand see Lauter, Robert et al., 2003g:47129Nistor, Victor see Lauter, Robert et al., 2003g:47129Park, Kyoo-Hong (with Jung, Yong-Soo; Bae, Jae-Hyeong) Derivations in Banach

algebras. (English summary) 2003a:46070

Somerset, D. W. B. see Feinstein, J. F. et al., 2003i:46054Zhang, Yong1 Approximate identities for ideals of Segal algebras on a compact group.


Zsak, Andras A Banach space whose operator algebra has K0-group Q. 2003c:46084

46H15 Representations of topological algebras

Cuenca Mira, Jose Antonio MoufangHE-algebras. 2003i:46043

Rodrıguez Palacios, Angel On the size of sets of numbers. (Spanish. Spanish summary)2003d:46056

46H Topological algebras, normed rings and algebras, Banach algebras1221 2003 46H35

46H20 Structure, classification of topological algebras

Bae, Jae-Hyeong see Park, Kyoo-Hong et al., 2003a:46070Dupre, Maurice J. (with Glazebrook, James F.) Holomorphic framings for projections in a

Banach algebra. (English summary) 2003j:46067

El Kinani, Abdellah (with Najmi, A.; Oudadess, M.) Algebres de Banach bilaterales.(English summary) [Bilateral Banach algebras] 2003m:46075

Gaur, A. K. Commutativity modulo radical and spectra in l.m.c.-algebras. (Englishsummary) 2003m:46076

Ghahramani, F. (with Laali, J.) Amenability and topological centres of the second duals ofBanach algebras. (English summary) 2003c:46060(with Lau, Anthony To-Ming) Weak amenability of certain classes of Banach algebraswithout bounded approximate identities. 2003j:46068

Giotopoulos, S. Single elements in Banach algebras. (English summary) 2003g:46054

Glazebrook, James F. see Dupre, Maurice J., 2003j:46067Hu, Zhiguo Inductive extreme non-Arens regularity of the Fourier algebra A(G). (English


Jung, Yong-Soo see Park, Kyoo-Hong et al., 2003a:46070Laali, J. see Ghahramani, F., 2003c:46060Lau, Anthony To-Ming see Ghahramani, F., 2003j:46068Najmi, A. see El Kinani, Abdellah et al., 2003m:46075

Oudadess,M. see El Kinani, Abdellah et al., 2003m:46075

Park, Kyoo-Hong (with Jung, Yong-Soo; Bae, Jae-Hyeong) Derivations in Banachalgebras. (English summary) 2003a:46070

Runde, Volker Banach space properties forcing a reflexive, amenable Banach algebra to betrivial. (English summary) 2003c:46061


Aristov, O. Yu. Biprojective algebras and operator spaces. 2003f:46090

Bhatt, S. J. (with Dedania, H. V.; Patel, S. R.) Frechet algebras with a Laurent seriesgenerator and the annulus algebras. (English summary) 2003c:46067

Dales, H. G. (with Ghahramani, F.; Khelemskiı, A. Ya.) The amenability of measurealgebras. 2003c:43001

Dedania,H. V. see Bhatt, S. J. et al., 2003c:46067Ghahramani, F. see Dales, H. G. et al., 2003c:43001Khelemskiı, A. Ya. seeDales, H. G. et al., 2003c:43001Patel, S. R. see Bhatt, S. J. et al., 2003c:46067Runde, Volker Lectures on amenability. 2003h:46001

Zhang, Yong1 Weak amenability of module extensions of Banach algebras. (Englishsummary) 2003f:46071



46H25 Normed modules and Banach modules, topologicalmodules (if not placed in 13–XX or 16–XX)

Blanco, Ariel Weak amenability of A (E) and the geometry of E. (English summary)2003i:46044

Bracic, Janko Representations and derivations of modules. (English summary)2003f:46070

Concordido,Claudia F. R. (with Pombo, Dinamerico P., Jr.) Polynomials and multilinearmappings in topological modules. (English summary) 2003d:46057

Douglas, Ronald G. (with Misra, Gadadhar; Varughese, Cherian) Some geometricinvariants from resolutions of Hilbert modules. 2003d:46058

Gok, Omer On transitive operator algebras in locally convex spaces. (English summary)2003g:46055

Guo, Kunyu Extension theory of Hilbert modules over semigroups. (English summary)2003k:46070

Misra, Gadadhar see Douglas, Ronald G. et al., 2003d:46058Moslehian,Mohammad Sal On hereditary homological properties of Banach algebras.


(with Niknam, Assadollah) On contractibility of matrix algebras. (English summary)2003j:46069

Niknam, Assadollah see Moslehian, Mohammad Sal, 2003j:46069Park, Chun-Gil (with Shin, Joon-Kook) Generalized Jensen’s equations in Banach

modules. (English summary) 2003j:46070

On the stability of the linear mapping in Banach modules. (English summary)2003i:46045

Pombo, Dinamerico P., Jr. see Concordido, Claudia F. R., 2003d:46057Robbins,D. A. Modules over commutativeC ∗-algebras and the BSE condition. (English


Shin, Joon-Kook see Park, Chun-Gil, 2003j:46070Suciu, Elena Alina Subspectral resolutions for Hilbert modules over function algebras.


Projectivity in categories of Hilbert modules over function algebras. (English summary)2003a:46072

Varughese, Cherian see Douglas, Ronald G. et al., 2003d:46058Zhang, Yong1 Weak amenability of module extensions of Banach algebras. (English



Bhatnagar, Savita (with Vasudeva, H. L.) Spaces of multipliers and their preduals for theorder multiplication on [0, 1]. (English summary) 2003h:43004

Blecher, David P. (with Jarosz, Krzysztof) Isomorphisms of function modules, andgeneralized approximation in modulus. (English summary) 2003c:46064

Bracic, Janko Unital strongly harmonic commutative Banach algebras. (English summary)2003e:47064

Burger, Marc (with Monod, Nicolas) Continuous bounded cohomology and applicationsto rigidity theory. 2003d:53065a

(with Iozzi, Alessandra) Boundary maps in bounded cohomology. Appendix to:“Continuous bounded cohomology and applications to rigidity theory” [Geom.Funct. Anal. 12 (2002), no. 2, 219–280;MR 2003d:53065a] by Burger and N. Monod.2003d:53065b

Dales, H. G. (with Rodrıguez Palacios, Angel; Velasco, M. V.) The second transpose of aderivation. (English summary) 2003e:46077

(with Ghahramani, F.; Khelemskiı, A. Ya.) The amenability of measure algebras.2003c:43001

Desquith, Etienne The Banach algebra induced by a double centralizer. (English summary)2003k:46067


Ghahramani, F. see Dales, H. G. et al., 2003c:43001Ilisevic, Dijana On redundance of one of the axioms of a generalized normed space.

(English summary) 2003f:46079Iozzi, Alessandra see Burger, Marc, 2003d:53065bJarosz, Krzysztof see Blecher, David P., 2003c:46064Joita, Maria On Hilbert modules over locally C ∗-algebras. (English summary)

2003c:46076

Khelemskiı, A. Ya. see Dales, H. G. et al., 2003c:43001Lafforgue, Vincent Banach KK -theory and the Baum-Connes conjecture. (English


K -theorie bivariante pour les algebres de Banach et conjecture de Baum-Connes.[BivariantK -theory for Banach algebras and the Baum-Connes conjecture] 2003d:19008

Larson, David R. see Frank, Michael, 2003i:42040Monod, Nicolas see Burger, Marc, 2003d:53065aand 2003d:53065bPacker, Judith A. (with Rieffel, Marc A.) Wavelet filter functions, the matrix completion

problem, and projectivemodules over C (Tn). (English summary) 2003m:42063Park, Chun-Gil Functional equations in Banach modules. (English summary) 2003i:39035

On the stability of the quadratic mapping in Banach modules. (English summary)2003j:47083

(with Park, Won-Gil) On the Jensen’s equation in Banach modules. (English summary)2003j:39065

Park, Won-Gil see Park, Chun-Gil, 2003j:39065Polyakov, M. E. An example of a spatially non-flat von Neumann algebra. 2003a:46088Rieffel, Marc A. see Packer, Judith A., 2003m:42063


Rodrıguez Palacios, Angel see Dales, H. G. et al., 2003e:46077Runde, Volker Banach space properties forcing a reflexive, amenable Banach algebra to be

trivial. (English summary) 2003c:46061Shahbazov, A. I. see Zohri, A., 2003a:47053Vasudeva, H. L. see Bhatnagar, Savita, 2003h:43004Velasco, M. V. see Dales, H. G. et al., 2003e:46077Zohri, A. (with Shahbazov, A. I.) Weighted composition operators on some Banach

modules of analytic functions. (English and Azerbaijani summaries) 2003a:47053

46H30 Functional calculus in topological algebras[see also 47A60]

Burlandy, P. A. (with Moraes, Luiza A.) The spectrum of an algebra of weakly continuousholomorphic mappings. (English summary) 2003f:46072

Dineen, Sean (with Harte, Robin E.; Taylor, Ciaran) Spectra of tensor product elements. I.Basic theory. (English summary) 2003g:46056a(with Harte, Robin E.; Taylor, Ciaran) Spectra of tensor product elements. II.Polynomial extensions. (English summary) 2003g:46056b

El Kinani, Abdellah A note on harmonic calculus in m-convex algebras. (English summary)2003j:46071Sur deux theoremes de Katznelson. (English summary) [On two theorems of Katznelson]2003d:46060

Harte, Robin E. see Dineen, Sean et al., 2003g:46056a and 2003g:46056b

Kokk, Arne Spectral systems with the one-way spectral mapping property. (Englishsummary) 2003a:46073

Moraes, Luiza A. see Burlandy, P. A., 2003f:46072Taylor, Ciaran see Dineen, Sean et al., 2003g:46056aand 2003g:46056b


Arikan, H. (with Runov, L.; Zakharyuta, V. P.) Holomorphic functional calculus foroperators on a locally convex space. (English summary) 2003m:47025


Jefferies, Brian R. F. (with Johnson, Gerald W.) Feynman’s operational calculi fornoncommuting operators: spectral theory. (English summary) 2003g:47031

Johnson, Gerald W. see Jefferies, Brian R. F., 2003g:47031Paulsen, Vern I. (with Popescu, Gelu; Singh, Dinesh1) On Bohr’s inequality. 2003h:47025

Popescu, Gelu see Paulsen, Vern I. et al., 2003h:47025Runov, L. see Arikan, H. et al., 2003m:47025Singh, Dinesh1 see Paulsen, Vern I. et al., 2003h:47025Yoshimoto, Takeshi The operational calculus for Dirichlet series with operator-coefficients.

(see 2003a:00030)Zakharyuta, V. P. seeArikan, H. et al., 2003m:47025

46H35 Topological algebras of operators [See mainly 47Lxx]

Zhang, Yong1 Unbounded approximate identities in algebras of compact operators onBanach spaces. (English summary) 2003i:46046


Dupre, Maurice J. (with Glazebrook, James F.) Holomorphic framings for projections in aBanach algebra. (English summary) 2003j:46067

FUNCTIONAL ANALYSIS46H35 2003 1222

Glazebrook, James F. see Dupre, Maurice J., 2003j:46067Zelazko,Wiesław When is L(X ) topologizable as a topological algebra? (English


46H40 Automatic continuity

Bresar, Matej (with Villena Munoz, Armando R.) The noncommutative Singer-Wermerconjecture and ϕ-derivations. (English summary) 2003h:46073

Dales, H. G. (with Rodrıguez Palacios, Angel; Velasco, M. V.) The second transpose of aderivation. (English summary) 2003e:46077

Read, Charles J. Derivations with large separating subspace. (English summary)2003g:46057

RodrıguezPalacios, Angel see Dales, H. G. et al., 2003e:46077Shulman, Viktor S. (with Turovskiı, Yuriı V.) On the Kleinecke-Shirokov theorem for

families of derivations. (English summary) 2003e:46078

Turovskiı, Yuriı V. see Shulman, Viktor S., 2003e:46078Velasco, M. V. see Dales, H. G. et al., 2003e:46077VillenaMunoz, Armando R. Automatic continuity in associative and nonassociative

context. (English summary) 2003a:46074see also Bresar, Matej, 2003h:46073




Mathieu,Martin (with Schick, Gerhard J.) First results on spectrally bounded operators.(English summary) 2003e:47066

Nacir, Chafik see Bensalem, Jawad, 2003f:46067RodrıguezPalacios, Angel (with Velasco, M. V.) Continuity of homomorphisms and

derivations on normed algebraswhich are tensor products of algebraswith involution.(English summary) 2003j:46076

Schick, Gerhard J. see Mathieu,Martin, 2003e:47066Velasco, M. V. see Rodrıguez Palacios, Angel, 2003j:46076

46H70 Nonassociative topological algebras [see also 46K70,46L70]

Aupetit,Bernard (with Maouche, Abdelaziz) Trace and determinant in Jordan-Banachalgebras. (English summary) 2003e:46079

Cabrera Garcıa, Miguel (with Mohammed, Amir A.) Totally multiplicatively primealgebras. (English summary) 2003h:46074

Hessenberger, Gerald (with Maouche, Abdelaziz) On Banach Jordan systems with at mosttwo spectral values. (English summary) 2003k:46071

Jung, Yong-Soo see Park, Kyoo-Hong,2003c:46063Kemmoun, H. Theoreme de Gelfand-Mazur dans les algebres p-normees non-associatives.

[The Gel′fand-Mazur theorem in nonassociativep-normed algebras] 2003c:46062Maouche,Abdelaziz see Aupetit, Bernard, 2003e:46079 and Hessenberger, Gerald,

2003k:46071Mohammed, Amir A. see Cabrera Garcıa, Miguel, 2003h:46074Park, Kyoo-Hong (with Jung, Yong-Soo) Jordan derivations and Jordan left derivations of

Banach algebras. (English summary) 2003c:46063


Al-Jebreen,H. see Jamjoom, F. B. H., 2003d:46096Beltita, Daniel (with Sabac, Mihai) Lie algebras of bounded operators. (English


Jamjoom, F. B. H. (with Al-Jebreen,H.) On the spectrum of the tensor products of JC-algebras. (English summary) 2003d:46096

Kaıdi, El Amin Mokhtar (with Ramırez, Marıa Isabel; Rodrıguez Palacios, Angel) Nearlyabsolute-valued algebras. 2003e:46080

Ramırez, Marıa Isabel see Kaıdi, El Amin Mokhtar et al., 2003e:46080RodrıguezPalacios, Angel see Kaıdi, El Amin Mokhtar et al., 2003e:46080Sabac, Mihai see Beltita, Daniel, 2003b:47107VillenaMunoz, Armando R. Automatic continuity in associative and nonassociative

context. (English summary) 2003a:46074

46H99 None of the above, but in this section

Jun, Kil-Woung (with Kim, Hark-Mahn) The range of derivations on Banach algebras.(English summary) 2003a:46075

Kaıdi, El Amin Mokhtar (with Ramırez, Marıa Isabel; Rodrıguez Palacios, Angel) Nearlyabsolute-valued algebras. 2003e:46080

Kim, Hark-Mahn see Jun, Kil-Woung, 2003a:46075Ramırez, Marıa Isabel see Kaıdi, El Amin Mokhtar et al., 2003e:46080RodrıguezPalacios, Angel see Kaıdi, El Amin Mokhtar et al., 2003e:46080



Baehr, Hanno Stability of continuous cyclic cohomology and operator ideals on Hilbertspace. 2003j:46113

Banas, Jozef (with Lecko, Millenia) Fixed points of the product of operators in Banachalgebra. (English summary) 2003c:47090


Chang, Ick-Soon (with Jun, Kil-Woung; Jung, Yong-Soo) On derivations in Banachalgebras. (English summary) 2003h:16058

Cui, Jian Lian see Hou, Jin Chuan, 2003j:47048Ehrhardt, Torsten (with Rabanovich, V. I.; Samoılenko, Yuriı S.; Silbermann, Bernd)

On the decomposition of the identity into a sum of idempotents. (English summary)2003d:47092

Gok, Omer The band of nilpotents in the second order dual of an f-algebra. (Englishsummary) 2003j:46006

Han, Hyuk (with Park, Sung-Wook) The quotient group GL(A)/ exp(A) of some Banachalgebras. (English summary) 2003e:46084

Hatori, Osamu see Takahasi, Sin-Ei et al., 2003k:46066Hou, Jin Chuan (with Cui, Jian Lian) Additive maps on standard operator algebras

preserving invertibilities or zero divisors. (English summary) 2003j:47048

Jun, Kil-Woung see Chang, Ick-Soon et al., 2003h:16058Jung, Yong-Soo see Chang, Ick-Soon et al., 2003h:16058Khan, Abdul Rahim see Thaheem, A. B., 2003c:47003Koptev, A. V. (with Robbins, D. A.) A note on the space of weakly continuous sections of a

Banach bundle. (English summary) 2003h:46058Lecko, Millenia see Banas, Jozef, 2003c:47090Luther, U. seeAlmira, Jose Marıa, 2003i:41042Miura, Takeshi see Takahasi, Sin-Ei et al., 2003k:46066Park, Chun-Gil Modified Trif ’s functional equations in Banach modules over a C ∗-algebra

and approximate algebra homomorphisms. (English summary) 2003k:39039

Park, Sung-Wook see Han, Hyuk, 2003e:46084Rabanovich, V. I. see Ehrhardt, Torsten et al., 2003d:47092Robbins, D. A. see Koptev, A. V., 2003h:46058Rodrıguez Palacios, Angel On the size of sets of numbers. (Spanish. Spanish summary)

2003d:46056

see also Becerra Guerrero, Julio et al., 2003j:46026Samoılenko, Yuriı S. see Ehrhardt, Torsten et al., 2003d:47092Shulman, Viktor S. On representations of limit relations. (English summary) 2003a:47083

Silbermann, Bernd see Ehrhardt, Torsten et al., 2003d:47092Takahasi, Sin-Ei (with Hatori, Osamu; Watanabe,Kei-ichi; Miura, Takeshi) A note on a

class of Banach algebra-valued polynomials. (English summary) 2003k:46066

Thaheem, A. B. (with Khan, Abdul Rahim) On some properties of Banach operators.(English summary) 2003c:47003

Toft, Joachim Continuity properties in non-commutative convolution algebras, withapplications in pseudo-differential calculus. (English summary) 2003d:47102

Watanabe,Kei-ichi see Takahasi, Sin-Ei et al., 2003k:46066Wood, Geoffrey V. see Becerra Guerrero, Julio et al., 2003j:46026

46Jxx Commutative Banach algebras and commutativetopological algebras [see also 46E25]

46J05 General theory of commutative topological algebras

Bhatt, S. J. (with Patel, S. R.) On Frechet algebras of power series. (English summary)2003f:46073

Dong, ShenHua The Riesz extension of a ideal. (Chinese. English and Chinese summaries)Miura, Takeshi A representation of ring homomorphisms on commutative Banach

algebras. (English summary) 2003e:46081

A representation of ring homomorphisms on unital regular commutative Banachalgebras. (English summary) 2003m:46077

Mustafaev, G. S. Banach algebras with bounded groups of generators, and the Schurproperty. (Russian. Russian summary) 2003i:46047

Patel, S. R. see Bhatt, S. J., 2003f:46073Pena, Carlos C. Elements of sequence algebras. (English summary) 2003e:46082

Sołtysiak, A. The strong spectral extension property does not imply the multiplicativeHahn-Banach property. (English summary) 2003m:46078

Sommariva, Alvise (with Vianello, Marco) Positivemultiplication preserves dissipativity incommutativeC ∗-algebras. (English summary) 2003h:46075

Vianello,Marco see Sommariva, Alvise, 2003h:46075

Items with secondary classifications in 46J05

Batikyan, B. T. The group of logarithms of moduli of invertible elements. (Russian)2003g:46058

Behrouzi, F. Homomorphisms of certain Banach function algebras. (English summary)2003e:46083

Bracic, Janko Unital strongly harmonic commutative Banach algebras. (English summary)2003e:47064

Choukri, Rachid (with Illoussamen, El Hossein; Runde, Volker) Gelfand theory for non-commutative Banach algebras. (English summary) 2003e:46094

Desquith, Etienne The Banach algebra induced by a double centralizer. (English summary)2003k:46067

Edwards, David Albert On function lattices and commutative von Neumann algebras.(English summary) 2003b:46064

El Kinani, Abdellah Sur deux theoremes de Katznelson. (English summary) [On twotheorems of Katznelson] 2003d:46060

Illoussamen, El Hossein see Choukri, Rachid et al., 2003e:46094Kaijser, Sten Interpolation of Banach algebras and open sets. (English summary)

2003d:46065

Mack, John E. Countably complete topological algebras. (English summary) 2003g:54037

Miura, Takeshi Perturbation of ∗-ring homomorphisms on involutive commutative Banachalgebras. (Japanese)


Runde, Volker see Choukri, Rachid et al., 2003e:46094Sebestyen, Zoltan A seminorm with square property on a complex associative algebra is

submultiplicative. (English summary) 2003b:46063

46J Commutative Banach algebras and commutative topological algebras1223 2003 46J15

Wawrzynczyk, Antoni On subspectra generated in subalgebras. (English summary)2003k:46075

46J10 Banach algebras of continuous functions, function algebras[see also 46E25]

Ali, Abdullah K. S. Problems concerning thin systems. (English summary) 2003m:46079Basener, Richard F. Notions of boundaries for function spaces. (English summary)

2003d:46061

Batikyan, B. T. The group of logarithms of moduli of invertible elements. (Russian)2003g:46058

(with Grigoryan, Suren Arshakovich) On the algebraic extension of A(E). (Russian.Russian summary) 2003m:46080

Behrouzi, F. Homomorphisms of certain Banach function algebras. (English summary)2003e:46083


Domınguez, Jesus M. (with Gomez-Perez, J.) There do not exist minimal algebras betweenC ∗(X ) and C (X ) with prescribed real maximal ideal spaces. (English summary)2003d:46062

Algebras betweenC ∗(X ) and C (X ) that are closed under countable composition.(English summary) 2003d:46063

Edwards, David Albert On function lattices and commutative von Neumann algebras.(English summary) 2003b:46064

Ehrhardt, Torsten (with van der Mee, Cornelis V. M.) Canonical factorization ofcontinuous functions on the d -torus. (English summary) 2003j:46072

El-Fallah,O. (with Ezzaaraoui, A.) Majorations uniformes de normes d’inverses dans lesalgebres de Beurling. (English summary) [Uniform upper bounds for norms of inversesin Beurling algebras] 2003f:46074

Ezzaaraoui, A. see El-Fallah,O., 2003f:46074Gamelin, T. W. (with Kislyakov, S. V.) Uniform algebras as Banach spaces. (English


Gau, Hwa-Long (with Jeang, Jyh-Shyang; Wong, Ngai Ching) An algebraic approachto the Banach-Stone theorem for separating linear bijections. (English summary)2003g:46059

Gomez-Perez, J. see Domınguez, Jesus M., 2003d:46062Gorkin, Pamela (with Mortini, Raymond) Asymptotic interpolating sequences in uniform

algebras. (English summary) 2003k:46072Grigoryan, Suren Arshakovich see Batikyan, B. T., 2003m:46080

Gyory, Mate 2-local isometries of C0(X ). (English summary) 2003a:46076Han, Hyuk (with Park, Sung-Wook) The quotient group GL(A)/ exp(A) of some Banach

algebras. (English summary) 2003e:46084Jarosz, Krzysztof see Blecher, David P., 2003c:46064Jeang, Jyh-Shyang see Gau, Hwa-Long et al., 2003g:46059Kislyakov, S. V. see Gamelin, T. W., 2003b:46065van der Mee, Cornelis V. M. see Ehrhardt, Torsten, 2003j:46072Mortini, Raymond see Gorkin, Pamela, 2003k:46072Moslehian,Mohammad Sal Characterization of some closed ideals of C (X ). (English


NguyenQuang Dieu (with de Paepe, P. J.) Function algebras on disks. (English summary)2003c:46065

de Paepe, P. J. Examples of infinitely generated function algebras. (English summary)2003m:46081see also NguyenQuang Dieu, 2003c:46065

Park, Sung-Wook see Han, Hyuk, 2003e:46084Pedersen, Thomas Vils Banach algebras weak∗ generated by their idempotents. (English

summary) 2003j:46073Rashid, Laila E. M. Non-finitely generated function algebras. (English summary)

2003h:46076Sady, F. Projective limit of a sequence of Banach function algebras as a Frechet function

algebra. (English summary) 2003b:46066Wong,Ngai Ching see Gau, Hwa-Long et al., 2003g:46059


Acharyya,S. K. (with Chattopadhyay,K. C.; Ghosh, D. P.) A class of subalgebras of C (X )and the associated compactness. (English summary) 2003a:54020

Akkar, Mohamed (with Nacir, Chafik; Bensalem, Jawad) Spectral ideals and spectralsubalgebras of an algebra. (English summary) 2003k:46068

Aron, Richard M. (with Garcıa, Domingo; Maestre, Manuel) Linearity in non-linearproblems. (English and Spanish summaries) 2003b:46062

Azarpanah,F. (with Soundararajan, T.) When the family of functions vanishing at infinityis an ideal of C (X ). (English summary) 2003b:54014

Ball, Joseph A. (with Rodman, Leiba; Spitkovsky, Ilya M.) Toeplitz corona problem foralgebras of almost periodic functions. (English summary) 2003i:42014

Bensalem, Jawad see Akkar, Mohamed et al., 2003k:46068Chattopadhyay,K. C. see Acharyya,S. K. et al., 2003a:54020Duan, Huo Yuan A characterization of the orthogonal decomposition of Hilbert spaces and

its application. (Chinese. English and Chinese summaries) 2003i:46021Ebadian, A. (with Mardanbeigi,M. R.) L∞-Lipschitz algebras on locally compact abelian


Garcıa, Domingo see Aron, Richard M. et al., 2003b:46062Garrido Carballo,Marıa Isabel (with Jaramillo, Jesus A.) A Banach-Stone theorem for

uniformly continuous functions. (English summary) 2003g:54035Ghosh, D. P. see Acharyya,S. K. et al., 2003a:54020Jaramillo, Jesus A. see Garrido Carballo,Marıa Isabel, 2003g:54035Kundu, Subiman (with Raha, A. B.) The Stone-Weierstrass theorem and Dini’s theorem: an

insight. (English summary) 2003a:46045Kuz′min, Andrei Viktorovich Homological properties of the algebra C (X ) in non-

Archimedean analysis. (Russian. English and Russian summaries) 2003b:46087Maestre, Manuel see Aron, Richard M. et al., 2003b:46062

Mardanbeigi,M. R. see Ebadian, A., 2003f:43002Mikhalev, A. V. see Zakharov, Valeriı Konstantinovich et al., 2003m:16042

Miura, Takeshi A representation of ring homomorphisms on commutative Banachalgebras. (English summary) 2003e:46081

Nacir, Chafik see Akkar, Mohamed et al., 2003k:46068Perera, Francesc Monoids arising from positive matrices over commutativeC ∗-algebras.


Raha, A. B. see Kundu, Subiman, 2003a:46045Rodman, Leiba see Ball, Joseph A. et al., 2003i:42014Seredinskiı, A. A. seeZakharov, Valeriı Konstantinovich et al., 2003m:16042

Soundararajan,T. see Azarpanah,F., 2003b:54014Spitkovsky, Ilya M. see Ball, Joseph A. et al., 2003i:42014Suciu, Elena Alina Subspectral resolutions for Hilbert modules over function algebras.


Projectivity in categories of Hilbert modules over function algebras. (English summary)2003a:46072

Valdivia, Manuel Linear extension operators and applications. (Spanish) 2003e:46118

Xia, Jingbo Joint mean oscillation and local ideals in the Toeplitz algebra. II. Localcommutivity and essential commutant. (English summary) 2003g:47052

Zakharov, Valeriı Konstantinovich (with Mikhalev, A. V.; Seredinskiı, A. A.) Purelyring characteristic of rings of continuous functions on compact topological spaces.2003m:16042

46J15 Banach algebras of differentiable or analytic functions,Hp-spaces [see also 30D55, 30H05, 32A35, 32A37, 32A38,42B30]


Aron, Richard M. see Alencar, Raymundo et al., 2003m:46082

Cedeno, Gladys The Pick problem and the Cole-Lewis-Wermer theorem. (Spanish. Englishand Spanish summaries) 2003h:46077

The Pick problem in H∞ and A(T) and the Cole-Lewis-Wermer problem. (Spanish.English and Spanish summaries) 2003h:46078

Cole, Brian J. (with Sadik, Nazim; Poletsky, Evgeny A.) A characterization of the diskalgebra. (English summary) 2003i:46048

Galindo, Pablo (with Lourenco, M. Lilian; Moraes, Luiza A.) Compact and weaklycompact homomorphisms on Frechet algebras of holomorphic functions. (Englishsummary) 2003f:46076


Gorkin, Pamela (with Mortini, Raymond) k-hulls and support sets in the spectrum ofH∞ + C . (English summary) 2003g:46060

Grigoryan, Suren Arshakovich (with Pankrateva,T. N.; Tonev, T. V.) The validity range oftwo complex analysis theorems. (English summary) 2003k:46073

Izuchi, Keiji On ideals in H∞ whose closures are intersections of maximal ideals.2003b:46067

Kasuga, Kazuhiro Correction to the paper: “There are no codimension 1 linear isometrieson the ball and polydisk algebras” [Sci. Math. Jpn. 54 (2001), no. 2, 387–390;MR2002h:46086]. (English summary) 2003e:46085

Lourenco, M. Lilian see Galindo, Pablo et al., 2003f:46076McCullough, Scott (with Paulsen, Vern I.) C ∗-envelopes and interpolation theory. (English


Moraes, Luiza A. see Galindo, Pablo et al., 2003f:46076Mortini, Raymond see Gorkin, Pamela, 2003g:46060Pankrateva, T. N. see Grigoryan, Suren Arshakovich et al., 2003k:46073Paulsen, Vern I. see McCullough,Scott, 2003e:46086Poletsky, Evgeny A. see Cole, Brian J. et al., 2003i:46048Sadik, Nazim see Cole, Brian J. et al., 2003i:46048Suciu, Ion Producing representing measures for the bidisc algebra. (English summary)

2003b:46068

Tonev, T. V. see Grigoryan, Suren Arshakovich et al., 2003k:46073Zagorodnyuk, A. V. Ideals of algebras of analytic functions on Banach spaces. (English and

Russian summaries) 2003j:46074



Amar, Eric (with Menini, Chantal) On an operator theory approach to the coronaproblem. (English summary) 2003c:47027

(with Menini, Chantal) A counterexample to the corona theorem for operators onH 2(Dn). (English summary) 2003g:47041

Brudnyı, A. Yu. Topology of the maximal ideal space ofH∞. (English summary)2003c:46066


Gorkin, Pamela (with Mortini, Raymond) Asymptotic interpolating sequences in uniformalgebras. (English summary) 2003k:46072

Grigoryan, Suren Arshakovich (with Tonev, T. V.) Linear multiplicative functionals ofalgebras of S-analytic functions on groups. (English summary) 2003d:43013

Hansen, Wolfhard (with Netuka, Ivan) Harmonic approximation and Sarason’s-typetheorem. (English summary) 2003j:31005

Herzog, Gerd Lagrange interpolation for the disk algebra: the worst case. (Englishsummary) 2003b:41004

Izuchi, Keiji Structure of the maximal ideal space ofH∞. (Japanese. Japanese summary)2003d:46064

Kasuga, Kazuhiro Korovkin type approximation theorems on the disk algebra. (Japanese)(see 2003a:41001)

Kellay, K. (with Zarrabi, M.) Normality, non-quasianalyticity and invariant subspaces.(English summary) 2003g:30063

FUNCTIONAL ANALYSIS46J15 2003 1224

Lemmers, Oscar (with Wiegerinck, Jan) Reinhardt domains and the Gleason problem.(English summary) 2003c:32006

Generators and interpolation in algebras of entire functions. (English summary)2003g:32012

(with Wiegerinck, Jan) Solving the Gleason problem on linearly convex domains.(English summary) 2003h:32008

Long, Shun Chao (with Wang, Jian1) Commutators of Hardy operators. (Englishsummary) 2003h:42033

Lu, Yu Feng Localization of Toeplitz operators on Bergman spaces. (English summary)2003m:47047

Marco, Nicolas Generalized interpolation in the unit ball. (English summary) 2003a:46043

Menini, Chantal see Amar, Eric, 2003c:47027 and 2003g:47041

Meyer, Ralf Adjoining a unit to an operator algebra. (English summary) 2003e:47122Misra, Gadadhar see Douglas, Ronald G. et al., 2003d:46058Mortini, Raymond see Gorkin, Pamela, 2003k:46072Nakazi, Takahiko Functions in N+ with the positive real parts on the boundary, and

extremal problems inH 1. (English summary) 2003i:30054

Netuka, Ivan see Hansen, Wolfhard, 2003j:31005Ouerdiane,Habib Algebras of infinite dimensional holomorphic functions and application

to probability. (English summary)Perez-Gonzalez,Fernando2 (with Ramos, Julio C.) Dominating sets in weightedBergman

spaces. (Spanish. English summary) 2003a:30038Ramos, Julio C. see Perez-Gonzalez, Fernando2, 2003a:30038Rodman, Leiba (with Spitkovsky, Ilya M.; Woerdeman, Hugo J.) Abstract band method

via factorization, positive and band extensions of multivariable almost periodic matrixfunctions, and spectral estimation. (English summary) 2003h:47029

Shahbazov, A. I. see Zohri, A., 2003a:47053Spitkovsky, Ilya M. seeRodman, Leiba et al., 2003h:47029Tonev, T. V. see Grigoryan, Suren Arshakovich, 2003d:43013Treil, S. R. Estimates in the corona theorem and ideals of H∞: a problem of T. Wolff.

(English summary) 2003k:30077Vaksman, Leonid Guantum matrix ball: the Cauchy-Szego kernel and the Shilov boundary.

(English, Russian and Ukrainian summaries) [Quantum matrix ball: the Cauchy-Szegokernel and the Shilov boundary] 2003f:32008

Varughese, Cherian see Douglas, Ronald G. et al., 2003d:46058Wang, Jian1 see Long, Shun Chao, 2003h:42033Wiegerinck, Jan see Lemmers, Oscar, 2003c:32006and 2003h:32008

Woerdeman, Hugo J. see Rodman, Leiba et al., 2003h:47029Zagorodnyuk, A. V. Infinite-dimensional holomorphy and differential forms on Banach

spaces. (Ukrainian. English, Russian and Ukrainian summaries) 2003k:46064Zarrabi, M. see Kellay, K., 2003g:30063Zohri, A. (with Shahbazov, A. I.) Weighted composition operators on some Banach

modules of analytic functions. (English and Azerbaijani summaries) 2003a:47053

46J20 Ideals, maximal ideals, boundaries

Batikyan, B. T. On the branching points of the spectrum of an algebraic extension of auniform algebra.(Russian) 2003k:46074


Choukri, Rachid Une approche algebrique du probleme de l’ideal ferme. (Englishsummary) [An algebraic approach to the problem of closed ideals] 2003f:46077

Izuchi, Keiji Structure of the maximal ideal space ofH∞. (Japanese. Japanese summary)2003d:46064

On ideals in H∞ whose closures are intersections of maximal ideals.Kaijser, Sten Interpolation of Banach algebras and open sets. (English summary)

2003d:46065

Miura, Takeshi (with Niijima, Kazuki) Maximal ideal spaces of commutativeC ∗-algebrasin which arbitrary algebraic equations have solutions. (Japanese)

Niijima, Kazuki see Miura, TakeshiWawrzynczyk, Antoni On subspectra generated in subalgebras. (English summary)

2003k:46075


Abanin, A. V. (with Shabarshina, Irina S.) Zero sets of generators and differential ideals.(English summary) 2003e:32011

Abu Osba, Emad A. (with Al-Ezeh, H.) Some properties of the ideal of continuousfunctions with pseudocompact support. (English summary) 2003d:54032

Al-Ezeh, H. see Abu Osba, Emad A., 2003d:54032Basener, Richard F. Notions of boundaries for function spaces. (English summary)

2003d:46061Dong, ShenHua The Riesz extension of a ideal. (Chinese. English and Chinese summaries)Gantsev, S. N. see Krivosheev, A. S., 2003m:30064

Izuchi, Keiji On ideals in H∞ whose closures are intersections of maximal ideals.2003b:46067

Krivosheev,A. S. (with Gantsev, S. N.) On generators in ideals of entire functions of finiteorder and type in the plane. (Russian. Russian summary) 2003m:30064

Lemmers, Oscar (with Wiegerinck, Jan) Reinhardt domains and the Gleason problem.(English summary) 2003c:32006

(with Wiegerinck, Jan) Solving the Gleason problem on linearly convex domains.(English summary) 2003h:32008

O’Farrell, A. G. (with Sanabria-Garcıa,M. A.) Pervasive algebras of analytic functions onRiemann surfaces. (English summary) 2003g:30079

Pena, Carlos C. On Hadamard algebras. (English summary) 2003e:46087Elements of sequence algebras. (English summary) 2003e:46082

Rabinovich,Vladimir S. (with Roch, Steffen) Local theory of the Fredholmness ofband-dominated operators with slowly oscillating coefficients. (English summary)2003g:47057

Roch, Steffen see Rabinovich, Vladimir S., 2003g:47057Sanabria-Garcıa,M. A. see O’Farrell, A. G., 2003g:30079

Shabarshina, Irina S. seeAbanin, A. V., 2003e:32011Treil, S. R. Estimates in the corona theorem and ideals of H∞: a problem of T. Wolff.


Ulger, A. Multipliers with closed range on commutative semisimple Banach algebras.(English summary) 2003k:43004

Vaksman, Leonid Guantum matrix ball: the Cauchy-Szego kernel and the Shilov boundary.(English, Russian and Ukrainian summaries) [Quantum matrix ball: the Cauchy-Szegokernel and the Shilov boundary] 2003f:32008

Wawrzynczyk, Antoni An approach to joint Shilov boundaries. (English summary)2003k:46069

Wiegerinck, Jan see Lemmers, Oscar, 2003c:32006 and 2003h:32008

Zagorodnyuk, A. V. On maximal ideals of the algebra of entire functions in a Banach space.(Ukrainian. English, Russian and Ukrainian summaries) 2003k:46063

Ideals of algebras of analytic functions on Banach spaces. (English and Russiansummaries) 2003j:46074

46J25 Representations of commutative topological algebras


Panchapagesan,T. V. On Kelley’s multiplicity function of an abelian von Neumann algebra.(English summary) 2003d:46075

Robbins, D. A. Modules over commutativeC ∗-algebras and the BSE condition. (Englishsummary) 2003d:46059

46J30 Subalgebras


Pedersen, Thomas Vils Banach algebras weak∗ generated by their idempotents. (Englishsummary) 2003j:46073

46J40 Structure, classification of commutative topologicalalgebras

Arizmendi Peimbert, Hugo (with Carrillo-Hoyo, A.; Valov, Vesko) On Q, QM and QM # -algebras. (English summary) 2003k:46076

Bhatt, S. J. (with Dedania, H. V.; Patel, S. R.) Frechet algebras with a Laurent seriesgenerator and the annulus algebras. (English summary) 2003c:46067

Carboni, Graciela (with Larotonda, Angel) Frechetm-convex principal ideal domains.(English summary) 2003m:46083

Carrillo-Hoyo, A. see Arizmendi Peimbert, Hugo et al., 2003k:46076Dedania, H. V. see Bhatt, S. J. et al., 2003c:46067Larotonda, Angel see Carboni, Graciela, 2003m:46083

Patel, S. R. see Bhatt, S. J. et al., 2003c:46067Valov, Vesko see Arizmendi Peimbert, Hugo et al., 2003k:46076


Batikyan, B. T. (with Grigoryan, Suren Arshakovich) On the algebraic extension of A(E).(Russian. Russian summary) 2003m:46080

Choukri, Rachid Une approche algebrique du probleme de l’ideal ferme. (Englishsummary) [An algebraic approach to the problem of closed ideals] 2003f:46077

Sur un resultat de type Gelfand-Mazur. (English summary) [On a Gel′fand-Mazur-typeresult] 2003m:46073

Grigoryan, Suren Arshakovich see Batikyan, B. T., 2003m:46080Nikol′skiı, Nikolai K. The problem of efficient inversions and Bezout equations. (English


46J45 Radical Banach algebras



46J99 None of the above, but in this section

Pena, Carlos C. On Hadamard algebras. (English summary) 2003e:46087


Attioui, Abdelbaki (with Azhari, A.) Linearisation des diffeomorphismes analytiques dansune algebre de Banach. [Linearization of analytic diffeomorphisms in a Banach algebra]2003k:46061

Azhari, A. see Attioui, Abdelbaki, 2003k:46061Ebadian, A. (with Mardanbeigi,M. R.) L∞-Lipschitz algebras on locally compact abelian


Freydin, Boris On spectral synthesis of polynomially growing functions on a half-axis.(English summary) 2003m:43004

Mardanbeigi,M. R. see Ebadian, A., 2003f:43002Rubin, Richard L. Toeplitz matrices and classical and q-Bessel functions. (English


Semrl, Peter Almost multiplicative functions and almost linear multiplicative functionals.(English summary) 2003b:39039

Spronk, Nico (with Turowska, Lyudmila B.) Spectral synthesis and operator synthesis forcompact groups. (English summary) 2003g:47130

Turowska, Lyudmila B. see Spronk, Nico, 2003g:47130Zhang, Yong1 Approximate identities for ideals of Segal algebras on a compact group.


46L Selfadjoint operator algebras (C ∗-algebras, von Neumann (W *-) algebras, etc.)1225 2003 46L05

46Kxx Topological (rings and) algebras with aninvolution [see also 16W10]

46K05 General theory of topological algebras with involution

Beidar, K. I. (with Bresar, Matej; Chebotar, M. A.; Fong, Yuen) Applying functionalidentities to some linear preserver problems. (English summary) 2003e:46088

Bhatt, S. J. Topological ∗-algebraswith C ∗-enveloping algebras. II. (English summary)2003a:46077

Bisgaard, Torben Maack Disintegration of bounded quasi-positive Hilbert forms.2003e:46089

Bresar, Matej see Beidar, K. I. et al., 2003e:46088Chebotar,M. A. see Beidar, K. I. et al., 2003e:46088Dales, H. G. (with Laustsen, Niels Jakob; Read, Charles J.) A properly infinite Banach ∗-

algebra with a non-zero, bounded trace. (English summary) 2003m:46084

El Kinani, Abdellah (with Ifzarne, A.) Anti-morphisme involutif et algebres p-Banachhermitiennes. (English and French summaries) [Involutive antimorphism and Hermitianp-Banach algebras] 2003f:46078

(with Nejjari, M. A.; Oudadess, M.) A version of Vidav Palmer’s theorem for m-convexalgebras. (English summary) 2003g:46061

On locally pre-C ∗-algebra structures in locally m-convexH ∗-algebras. (Englishsummary) 2003g:46062

Fong, Yuen see Beidar, K. I. et al., 2003e:46088Fragoulopoulou,Maria The Shirali-Ford theorem as a consequence of Ptak theory for

Hermitian Banach algebras. (English summary) 2003j:46075

Gaur, A. K. Norm inequalities in star algebras. (English summary) 2003e:46090

Ifzarne, A. see El Kinani, Abdellah, 2003f:46078Inoue, Atsushi2 (with Kursten, Klaus-Detlef) On structure of C ∗-like locally convex ∗-

algebras. (English summary) 2003i:46049

(with Kursten, Klaus-Detlef) On C ∗-like locally convex ∗-algebras. (English summary)2003b:46069

Kursten, Klaus-Detlef see Inoue, Atsushi2, 2003b:46069 and 2003i:46049

Laustsen, Niels Jakob see Dales, H. G. et al., 2003m:46084

Li, Min-li see Li, Zhong Yan, 2003m:46085

Li, Zhong Yan (with Li, Min-li) On two Gelfand-Mazur type theorems. (English andChinese summaries) 2003m:46085

Characterizations of the states of complex Banach algebras with involution. (Chinese.English and Chinese summaries) 2003k:46077

Miura, Takeshi Perturbation of ∗-ring homomorphisms on involutive commutative Banachalgebras. (Japanese)

Nejjari, M. A. see El Kinani, Abdellah et al., 2003g:46061Oudadess,M. see El Kinani, Abdellah et al., 2003g:46061Read, Charles J. see Dales, H. G. et al., 2003m:46084

RodrıguezPalacios, Angel (with Velasco, M. V.) Continuity of homomorphisms andderivations on normed algebraswhich are tensor products of algebraswith involution.(English summary) 2003j:46076

Tishchenko, S. V. On a class of matrix topological ∗-algebras.(Russian. English andUkrainian summaries) 2003b:46070

Velasco, M. V. see Rodrıguez Palacios, Angel, 2003j:46076Wu, Wei8 Locally pre-C ∗-equivalent algebras. (English summary) 2003i:46050

Items with secondary classifications in 46K05

Bagarello, Fabio Locally convex ∗-algebras and the thermodynamical limit of quantummodels. (English summary) (see 2003g:00024)

Crabb, M. J. (with Duncan, John; McGregor, C. M.) The extremal algebra on twoHermitians with square 1. (English summary) 2003e:47008

Duncan, John see Crabb, M. J. et al., 2003e:47008El Kinani, Abdellah (with Nejjari, M. A.; Oudadess, M.) Normal cones and C ∗-m-convex

structure. (English summary) 2003f:46082

Joita, Maria Locally von Neumann algebras. II. (English summary) 2003e:46107

Koliha, J. J. (with Patrıcio, Pedro) Elements of rings with equal spectral idempotents.(English summary) 2003b:16037

McGregor, C. M. see Crabb, M. J. et al., 2003e:47008

Nejjari, M. A. see El Kinani, Abdellah et al., 2003f:46082Oudadess,M. see El Kinani, Abdellah et al., 2003f:46082Patrıcio, Pedro see Koliha, J. J., 2003b:16037Turcotte, Daniel Propagation of normality along regular analytic Jordan arcs in analytic

functions with values in a complex unital Banach algebra with continuous involution.(English summary) 2003m:47022

Wu, Wei8 Submultiplicativity of linear C ∗e -seminorms. (Chinese. English and Chinese

summaries) 2003b:46078

46K10 Representations of topological algebras with involution

Bhatt, S. J. (with Inoue, Atsushi2; Ogi, Hidekazu) Unbounded C ∗-seminorms on ∗-algebras. (English summary) 2003i:46051

Inoue, Atsushi2 see Bhatt, S. J. et al., 2003i:46051Ogi, Hidekazu see Bhatt, S. J. et al., 2003i:46051Popovych,StanislavV. Monomial ∗-algebras and Tapper’s conjecture. (English summary)

2003i:46052

Samoılenko,Yuriı S. (with Turowska, Lyudmila B.) On bounded and unboundedidempotents whose sum is a multiple of the identity. (English summary) 2003e:46091

Strelets, A. V. On involutions which preserve natural filtration. (English summary)2003e:46092

Turowska, Lyudmila B. On the complexity of the description of ∗-algebra representationsby unbounded operators. (English summary) 2003g:46063

see also Samoılenko,Yuriı S., 2003e:46091


Hofmann, Gerald On self-polar Hilbertian norms on (indefinite) inner product spaces.(English summary) 2003d:46030

On inner characterizations of pseudo-Kreın and pre-Kreın spaces. (English summary)2003e:46030

Maistrenko, Tatyana Yu. Positive conjugacy for simple dynamical systems. (Englishsummary) (see 2003b:00031)

46K15 Hilbert algebras

Ilisevic, Dijana On redundance of one of the axioms of a generalized normed space.(English summary) 2003f:46079

Urinovskiı, A. N. Estimates for the norms of multiplication operators in Hilbert algebras.(Russian. Russian summary) 2003i:46053

46K70 Nonassociative topological algebras with an involution[see also 46H70, 46L70]

Bagarello, Fabio (with Inoue, Atsushi2; Trapani, Camillo) Some classes of topologicalquasi ∗-algebras. (English summary) 2003b:46071

Calderon Martın, A. J. Coherent direct systems of L∗-triples. (English summary)2003d:46066

Inoue, Atsushi2 see Bagarello, Fabio et al., 2003b:46071Trapani, Camillo see Bagarello, Fabio et al., 2003b:46071


Calderon Martın, A. J. (with Martın Gonzalez, Candido) On Lie derivations of 3-gradedalgebras. (English summary)

Cuenca Mira, Jose Antonio MoufangHE-algebras. 2003i:46043

Martın Gonzalez, Candido see CalderonMartın, A. J.

46K99 None of the above, but in this section

Feinstein, J. F. (with Kaniuth, Eberhard; Somerset, D. W. B.) Spectral synthesis andtopologies on ideal spaces for Banach ∗-algebras. (English summary) 2003i:46054

Kaniuth, Eberhard see Feinstein, J. F. et al., 2003i:46054Rema, P. S. (with Sribala, S.; Vijayarangan, N.) KreinH ∗-triple systems. (English


Somerset, D. W. B. see Feinstein, J. F. et al., 2003i:46054Sribala, S. see Rema, P. S. et al., 2003j:46077Vijayarangan,N. see Rema, P. S. et al., 2003j:46077


El Kinani, Abdellah A note on harmonic calculus in m-convex algebras. (English summary)2003j:46071

Kruglyak, Stanislav (with Kyrychenko, Anatolii) On four orthogonal projections thatsatisfy the linear relation α1P1 + α2P2 + α3P3 + α4P4 = I, αi > 0. (English summary)2003e:47123

Kyrychenko, Anatolii see Kruglyak, Stanislav, 2003e:47123Mazorchuk, Volodymyr (with Turowska, Lyudmila B.) Existence and uniqueness of "-

forms on finite-dimensional modules. (English summary) 2003g:16043

Samoılenko, Yuriı S. (with Strelets, A. V.) On “good” vectors for a family of unboundedoperators and their application. (English summary) 2003h:47075

Strelets, A. V. see Samoılenko, Yuriı S., 2003h:47075Trapani, Camillo Banach partial ∗-algebras and quantum models. 2003f:47123

Turowska, Lyudmila B. see Mazorchuk, Volodymyr, 2003g:16043

46Lxx Selfadjoint operator algebras (C ∗-algebras, vonNeumann (W *-) algebras, etc.) [see also 22D25,47Lxx]

Takesaki, Masamichi An entry to rings of operators. (Japanese)

Items with secondary classifications in 46Lxx

Arveson, William The curvature invariant of a Hilbert module overC[z1, · · · , zd ]. (Englishsummary) 2003a:47013

Constantinescu, Corneliu C ∗-algebras. Vol. 3. 2003a:46004C ∗-algebras. Vol. 5. 2003a:46006

Vainerman, Leonid Introduction of the editor. (see 2003m:22001)


Structure of operator algebras and its applications Sayoso kan no kozo kenkyu to sonooyo. (Japanese) [The structure of operator algebras and its applications]

Theory of operator algebras and its applications Sayoso kan ron to sono oyo. [Theory ofoperator algebras and its applications]

46L05 General theory of C ∗-algebrasAbd El-Kader, Zeinab M. see Zaki, Adel M., 2003c:46072Akemann, Charles A. (with Eilers, Søren) Regularity of projections revisited. (English


(with Weaver,Nik) Geometric characterizations of some classes of operators in C ∗-algebras and von Neumann algebras. (English summary) 2003e:46093

Alizadeh,M. H. see Khosravi, Amir, 2003i:46056Bates, Teresa Applications of the gauge-invariant uniqueness theorem for graph algebras.


Baumgartel, Hellmut (with Jurke, Matthias; Lledo, Fernando) Twisted duality of theCAR-algebra. (English summary) 2003d:46067

FUNCTIONAL ANALYSIS46L05 2003 1226

Brenken, Berndt Cuntz-Krieger algebras and endomorphisms of finite direct sums of typeI∞ factors. (English summary) 2003f:46080


Chen, Xiaoman (with Wang, Qin2) Notes on ideals of Roe algebras. (English summary)2003a:46078

Chigogidze,Alex (with Valov, Vesko) C ∗-algebras of infinite real rank. (English summary)2003i:46055

Choukri, Rachid (with Illoussamen, El Hossein; Runde, Volker) Gelfand theory for non-commutative Banach algebras. (English summary) 2003e:46094

Conti, Roberto2 (with Fidaleo, Francesco) Braided endomorphisms of Cuntz algebras.(English summary) 2003g:46065

Crisp, John S. (with Laca, Marcelo) On the Toeplitz algebras of right-angled and finite-type Artin groups. (English summary) 2003a:46079

Djoudi, Ahcene On an extension theorem. (English, French and Arabic summaries)2003f:46081

Eilers, Søren Approximate homogeneity of C ∗-algebraswith finitely many ideals. (Englishsummary) 2003g:46066

see also Akemann, Charles A., 2003k:46078El Kinani, Abdellah (with Nejjari, M. A.; Oudadess, M.) Normal cones and C ∗-m-convex

structure. (English summary) 2003f:46082Exel, Ruy Exact groups and Fell bundles. (English summary) 2003e:46095

Fidaleo,Francesco see Conti, Roberto2, 2003g:46065Futamura,Hajime (with Kataoka, Nobuhiro; Kishimoto, Akitaka) Type III representa-

tions and automorphisms of some separable nuclear C ∗-algebras. (English summary)2003k:46079

Gabriel, Michael J. Cuntz algebra states defined by implementers of endomorphisms of theCAR algebra. (English summary) 2003e:46096

Ge, Liming (with Hadwin, Don) Ultraproducts of C ∗-algebras. (English summary)2003f:46083

Guentner, Erik (with Kaminker, Jerome) Exactness and the Novikov conjecture. (Englishsummary) 2003e:46097a(with Kaminker, Jerome) Addendum to: “Exactness and the Novikov conjecture”.2003e:46097b

Ha, Kil-Chan Positive projections onto spin factors. (English summary) 2003c:46068

Hadwin, Don see Ge, Liming, 2003f:46083Hou, Jin Chuan (with Hou, Shen Zhao) Linear maps on operator algebras that preserve

elements annihilated by a polynomial. (English summary) 2003a:46080

Hou, Shen Zhao see Hou, Jin Chuan, 2003a:46080Illoussamen, El Hossein see Choukri, Rachid et al., 2003e:46094Izumi, Masaki Inclusions of simple C ∗-algebras. (English summary) 2003b:46072Jeong, Eui-Chai (with Lee, Jung-Rye; Shin, Dong-Yun) Representations of On and their

restrictions to UHFn. (English summary) 2003e:46098Jiang, Li Ning The duality theorem in field algebra of G -spin model. (Chinese. English and

Chinese summaries) 2003g:46067Joita, Maria On the Cauchy-Schwarz inequality in C ∗-algebras. (English summary)

2003g:46068Jurke, Matthias see Baumgartel, Hellmut et al., 2003d:46067Kaminker, Jerome see Guentner, Erik, 2003e:46097a and 2003e:46097bKataoka, Nobuhiro see Futamura,Hajime et al., 2003k:46079Katsura, Takeshi A summary of the works “A class of C ∗-algebras generalizing both graph

algebras and homeomorphism C ∗-algebras”.Kawamura, Katsunori Combinatorial construction of sectors of Cuntz algebras and related

topics. (Japanese. Japanese summary)Khoshkam,Mahmood (with Tavakoli, Javad) Categorical constructions in C ∗-algebra

theory. (English summary) 2003e:46099

(with Skandalis, Georges) Regular representation of groupoid C ∗-algebras andapplications to inverse semigroups. (English summary) 2003f:46084

Khosravi, Amir (with Alizadeh, M. H.) Generalized inverses of products. (Englishsummary) 2003i:46056

Kimura, Fumihiko2 On elementary operators over primitiveC ∗-algebras.(Japanese. Englishsummary)

Kirchberg, Eberhard (with Rørdam, Mikael) Infinite non-simple C ∗-algebras: absorbingthe Cuntz algebrasO∞. (English summary) 2003k:46080

Kishimoto, Akitaka see Futamura, Hajime et al., 2003k:46079Kissin, Edward (with Shulman, Viktor S.) Range-inclusivemaps on C ∗-algebras. (English

summary) 2003j:46078Koliha, J. J. The Drazin and Moore-Penrose inverse in C ∗-algebras. (English summary)

2003b:46073

Krishnan, Srilal Principal ideals in subalgebras of groupoid C ∗-algebras. (Englishsummary) 2003j:46079

Kuna, Maciej seeNaudts, Jan, 2003b:46075Kustermans, Johan (with Vaes, Stefaan) Locally compact quantum groups in the von

Neumann algebraic setting. (English summary) 2003k:46081

Kusuda,Masaharu Morita equivalence for C ∗-algebras with the weak Banach-Saksproperty. (English summary) 2003a:46081

Laca, Marcelo see Crisp, John S., 2003a:46079Larsen, Nadia S. (with Putnam, Ian F.; Raeburn, Iain) The two-prime analogue of the

Hecke C ∗-algebra of Bost and Connes. (English summary) 2003c:46069

Lee, Jung-Rye see Jeong, Eui-Chai et al., 2003e:46098Li, Bing-zhao see Xu, Tian-zhou, 2003f:46089Li, Liangqing Classification of simple C ∗-algebras: inductive limits of matrix algebras over

one-dimensional spaces. (English summary) 2003h:46079Li, Zhong Yan The ideals of real (AF)-algebras. (English and Chinese summaries)

2003b:46074Lieb, Elliott H. (with Pedersen, Gert K.) Convexmultivariable trace functions. (English

summary) 2003j:46080Lin, Hua Xin Simple C ∗-algebras with unique tracial states and quantized topological


Livingston,N. E. A class of simple tracially AF C ∗-algebras. (English summary)

2003f:46086

Lledo, Fernando see Baumgartel, Hellmut et al., 2003d:46067Losert, V. On the center of group C ∗-algebras. (English summary) 2003k:46082

Marcoux, L. W. On the linear span of the projections in certain simple C ∗-algebras.(English summary) 2003i:46057

Naudts, Jan (with Kuna, Maciej) Covariance systems. (English summary) 2003b:46075

Nejjari, M. A. see El Kinani, Abdellah et al., 2003f:46082Okayasu, Rui Quasicentral approximate units relative to theMacaev norm. (Japanese)Oudadess, M. see El Kinani, Abdellah et al., 2003f:46082Paschke, William L. Some irreducible free group representations in which a linear

combination of the generators has an eigenvalue. (English summary) 2003e:46100

Pasnicu, Cornel On the (strong) GAH algebras. (English summary) 2003d:46068Ideals generated by projections and inductive limit C ∗-algebras. (English summary)2003f:46087The projection property. (English summary) 2003i:46058

Pedersen, Gert K. see Lieb, Elliott H., 2003j:46080Peralta, AntonioM. see Bunce, Leslie J., 2003m:46086

Phillips, N. Christopher Real rank and exponential length of tensor products with O∞.(English summary) 2003e:46101

Pop, Ciprian Finite sums of commutators. (English summary) 2003c:46070

Proskurin, Daniil P. Stability of a special class of qij-CCR and extensions of irrationalrotation algebras. (English summary) 2003h:46080

(with Samoılenko, Yuriı S.) Stability of the C ∗-algebra associated with twisted CCR.(English summary) 2003i:46059

Putnam, Ian F. see Larsen, Nadia S. et al., 2003c:46069Raeburn, Iain see Larsen, Nadia S. et al., 2003c:46069Rørdam, Mikael Classification of nuclear, simple C ∗-algebras. 2003i:46060

see also Kirchberg, Eberhard, 2003k:46080Runde, Volker see Choukri, Rachid et al., 2003e:46094Ruskai, Mary Beth (with Szarek, Stanisław J.; Werner, Elisabeth) An analysis of

completely positive trace-preservingmaps onM2. (English summary) 2003c:46071

Saito, Kazuyuki (with Wright, John DavidMaitland) Monotone completions of thefermion algebra. (English summary) 2003i:46061

Samoılenko, Yuriı S. see Proskurin, Daniil P., 2003i:46059Scarlatescu-Murea,Silvia The category of bundles of locally C ∗-algebras. (English

summary) 2003h:46081Sergıenko, U. O. On the representation of Cuntz-type C ∗-algebrasOn,α. (Ukrainian.

English and Ukrainian summaries) 2003h:46082Shah, MasoodHussain Equivalent representations of a pure functional of C ∗-algebra.

(English summary) 2003m:46087Shin, Dong-Yun see Jeong, Eui-Chai et al., 2003e:46098Shulman, Viktor S. see Kissin, Edward, 2003j:46078Skandalis, Georges see Khoshkam, Mahmood, 2003f:46084Sudo, Takahiro Structure of group C ∗-algebras of semi-direct products of Cn by Z.

(English summary) 2003a:46082aSurvey on the stable rank of group C ∗-algebras of two-step nilpotent groups. (Englishsummary) 2003d:46069Structure of group C ∗-algebras of the generalized disconnected Dixmier groups. (Englishsummary) 2003a:46082bStable ranks of multiplier algebras of C ∗-algebras. (English summary) 2003f:46088

Structure of group C ∗-algebras of the generalized disconnected Mautner groups.(English summary) 2003a:46082c

C ∗-algebraswith Fredholm operators with index nonzero are not approximatelysubhomogeneous. (English summary) 2003m:46088

Ranks of direct products of C ∗-algebras. (English summary) 2003e:46102Sulaiman, W. T. An n × n matrix of linear functionals of C ∗-algebras. (English summary)

2003b:46076Completely contractivemaps betweenC ∗-algebras. (English summary) 2003j:46081

Szarek, Stanisław J. see Ruskai, Mary Beth et al., 2003c:46071Szymanski, Wojciech The range of K -invariants for C ∗-algebras of infinite graphs. (English


General Cuntz-Krieger uniqueness theorem. (English summary) 2003h:46083On semiprojectivity of C ∗-algebras of directed graphs. (English summary) 2003a:46083

Tavakoli, Javad see Khoshkam, Mahmood, 2003e:46099Vaes, Stefaan see Kustermans, Johan, 2003k:46081Valov, Vesko see Chigogidze,Alex, 2003i:46055Wang, Qin2 see Chen, Xiaoman, 2003a:46078Weaver, Nik A counterexample to a conjecture of Akemann and Anderson. (English

summary) 2003i:46062see also Akemann, Charles A., 2003e:46093

Werner, Elisabeth see Ruskai, Mary Beth et al., 2003c:46071Wright, John David Maitland see Saito, Kazuyuki, 2003i:46061Wu, Wei8 Submultiplicativity of linear C ∗

e -seminorms. (Chinese. English and Chinesesummaries) 2003b:46078

Wysoczanski, Janusz A construction of compact matrix quantum groups and descriptionof the relatedC ∗-algebras. (English summary) (see 2003a:00027)

Xu, Tian-zhou (with Li, Bing-zhao) Subnormal elements in Proc-C ∗-algebras. (Englishand Chinese summaries) 2003f:46089

Zacharias, Joachim Endomorphisms of continuous Cuntz algebras. (English summary)2003e:46103

Zaki, Adel M. (with Abd El-Kader, ZeinabM.) A note on primal ideal in the product C ∗-algebra. (English summary) 2003c:46072

Zhang, Lun Chuan Problem of invariant subspaces in C ∗-algebras. (English summary)2003d:46070

Items with secondary classifications in 46L05

Abd El-Kader, Zeinab M. (with Zaki, Adel M.) The pure state space of certain C ∗-algebras. III. (English summary) 2003f:46099

Abe, Mitsuo (with Kawamura, Katsunori) Recursive fermion system in Cuntz algebra. I.Embeddings of fermion algebra into Cuntz algebra. (English summary) 2003c:46079


Abrams, Gene (with Pha.m Ngo. c Anh) Some ultramatricial algebras which arise asintersections of Leavitt algebras. (English summary) 2003m:16040

Akemann, Charles A. (with Anderson, Joel) Locally minimal projections in B(H ).(English summary) 2003k:47010

Anderson, Joel see Akemann, Charles A., 2003k:47010Barraa, Mohamed (with Boumazgour, Mohamed) A lower bound of the norm of the

operator X →AXB + BXA. 2003a:47076

Bhat, B. V. Rajarama (with Bhattacharyya, Tirthankar) A model theory for q-commutingcontractive tuples. (English summary) 2003c:47018

Bhatt, S. J. (with Inoue, Atsushi2; Ogi, Hidekazu) Unbounded C ∗-seminorms on ∗-algebras. (English summary) 2003i:46051Topological ∗-algebraswith C ∗-enveloping algebras. II. (English summary) 2003a:46077

Bhattacharyya, Tirthankar see Bhat, B. V. Rajarama, 2003c:47018Blecher, David P. (with Effros, Edward G.; Zarikian, Vrej) One-sidedM -ideals and

multipliers in operator spaces. I. (English summary) 2003h:46084

Boca, Florin-Petre Rotation C ∗-algebras and almost Mathieu operators. (Englishsummary) 2003e:47063

Boumazgour,Mohamed see Barraa, Mohamed, 2003a:47076Buneci, Madalina C ∗-algebras associated to the transitive groupoids. (English summary)

2003b:46085

Castro Gonzalez, Nieves (with Koliha, J. J.; Wei, Yi-Min) On integral representations ofthe Drazin inverse in Banach algebras. (English summary) 2003e:46075

Chebotar,M. A. (with Ke, W.-F.; Lee, Pjek Hwee; Wong, Ngai Ching) Mappingspreserving zero products. (English summary) 2003m:47066

Chen, Xiaoman see Hou, Chengjun,2003a:46095Constantinescu, Tiberiu (with Gheondea, Aurelian) Representations of Hermitian kernels

by means of Krein spaces. II. Invariant kernels. (English summary) 2003b:47032Dadarlat,Marius (with Eilers, Søren) On the classification of nuclear C ∗-algebras.

2003d:19006Davidson, Kenneth R. Free semigroup algebras. A survey. (English summary) 2003d:47104

(with Katsoulis, Elias) Primitive limit algebras and C ∗-envelopes. (English summary)2003h:47140

Dykema, Kenneth J. (with Shlyakhtenko, Dimitri) Exactness of Cuntz-Pimsner C ∗-algebras. (English summary) 2003a:46084

Purely infinite, simple C ∗-algebras arising from free product constructions. II. (Englishsummary) 2003d:46074

Effros, Edward G. see Blecher, David P. et al., 2003h:46084Eilers, Søren see Dadarlat,Marius, 2003d:19006El Kinani, Abdellah On locally pre-C ∗-algebra structures in locallym-convexH ∗-algebras.


Enomoto,Masatoshi The three subspace system constructed from Chandler Davis’ threeprojections. (Japanese) 2003a:47046

Fragoulopoulou,Maria The Shirali-Ford theorem as a consequence of Ptak theory forHermitian Banach algebras. (English summary) 2003j:46075

Gaur, A. K. Norm inequalities in star algebras. (English summary) 2003e:46090Gheondea,Aurelian see Constantinescu, Tiberiu, 2003b:47032Golasinski, Marek (with Gomez Ruiz, Francisco) On Grassmannians over ∗-rings.


Gomez Ruiz, Francisco see Golasinski, Marek, 2003h:16055Guido, Daniele (with Isola, Tommaso) A semicontinuous trace for almost local operators

on an open manifold. (English summary) 2003i:58050Ha, Kil-Chan A class of atomic positive linear maps in matrix algebras. (English summary)

2003k:15017Hamana,Masamichi Infinite, "-finite, non-W ∗, AW ∗-factors. (English summary)

2003a:46090Hamhalter, Jan Multiplicativity of extremal positivemaps on abelian parts of operator

algebras. (English summary) 2003j:46109Hong, Jeong Hee (with Szymanski, Wojciech) Quantum spheres and projective spaces as

graph algebras. (English summary) 2003i:46080Hou, Chengjun (with Chen, Xiaoman) A note on the ideals of groupoid C ∗-algebras from

Smale spaces. (English summary) 2003a:46095Hudson, T. D. (with Somerset, D. W. B.) Norms of inner derivations of limit algebras.


Inoue, Atsushi2 (with Kursten, Klaus-Detlef) On C ∗-like locally convex ∗-algebras.(English summary) 2003b:46069

see also Bhatt, S. J. et al., 2003i:46051Isola, Tommaso see Guido, Daniele, 2003i:58050Jorgensen, Palle E. T. (with Proskurin, Daniil P.; Samoılenko, Yuriı S.) Generalized

canonical commutation relations: representations and stability of universal envelopingC ∗-algebra. (English summary) 2003j:81093

Kajiwara, Tsuyoshi (with Watatani, Yasuo) C ∗ algebras generated by bimodules ofcomplex dynamical systems—the case of polynomials. (Japanese)

Kaniuth, Eberhard (with Moran, William) The Glimm ideal space of a two-step nilpotentlocally compact group. (English summary) 2003a:22004

Katsoulis, Elias see Davidson, Kenneth R., 2003h:47140Katsura, Takeshi AF-embeddability of crossed products of Cuntz algebras. (English


Crossed products of Cuntz algebras by quasi-free actions of abelian groups.Kawamura, Katsunori see Abe, Mitsuo, 2003c:46079Ke, W.-F. see Chebotar,M. A. et al., 2003m:47066

Kerr, David (with Pinzari, Claudia) Noncommutative pressure and the variationalprinciple in Cuntz-Krieger-typeC ∗-algebras. (English summary) 2003f:46110

Khan, Liaqat Ali1 see Mohammad,N. et al., 2003g:46053Koliha, J. J. seeCastro Gonzalez, Nieves et al., 2003e:46075Kosyak, A. V. Elementary representations of the group BN

0 of finite upper-triangularmatrices. I. (English summary) 2003e:22011

Irreducibility of regular Gaussian representations of the group BZ

0 . (English summary)2003e:22012

Kuhn, M. Gabriella (with Steger, Tim) Paschke’s conjecture for the endpoint anisotropicseries representations of the free group. (English summary) 2003k:22007

Kursten, Klaus-Detlef see Inoue, Atsushi2, 2003b:46069Kusuda, Masaharu Morita equivalence for scatteredC ∗-algebras and the Radon-Nikodym

property for imprimitivity bimodules. (English summary) 2003j:46087

Lee, Pjek Hwee see Chebotar,M. A. et al., 2003m:47066Lin, Hua Xin Stable approximate unitary equivalence of homomorphisms. (English


Mantoiu,Marius C ∗-algebras, dynamical systems at infinity and the essential spectrum ofgeneralized Schrodinger operators. (English summary) 2003i:81109

Matui, Hiroki AF embeddability of crossed products of AT algebras by the integers and itsapplication. (English summary) 2003h:46101

McCullough, Scott (with Paulsen, Vern I.) C ∗-envelopes and interpolation theory. (Englishsummary) 2003e:46086

Mingo, James (with Nica, Alexandru) Random unitaries in non-commutative tori, and anasymptotic model for q-circular systems. (English summary) 2003f:46104

Miura, Takeshi (with Niijima, Kazuki) Maximal ideal spaces of commutativeC ∗-algebrasin which arbitrary algebraic equations have solutions. (Japanese)

Miura, Yasuhide Remarks on positivemaps on selfdual cones. (Japanese)Mohammad, N. (with Khan, Liaqat Ali1; Thaheem, A. B.) On closed range multipliers on

topological algebras. (English summary) 2003g:46053Molnar, Lajos 2-local isometries of some operator algebras. (English summary)

2003e:47067

Moran, William see Kaniuth, Eberhard, 2003a:22004Moslehian,Mohammad Sal Characterization of some closed ideals of C (X ). (English


(with Niknam, Assadollah) On contractibility of matrix algebras. (English summary)2003j:46069

Mulvey, Christopher J. (with Pelletier, Joan Wick) On the quantisation of spaces. (Englishsummary) 2003m:06014

Nagy, Gabriel B. A note on idempotents in finite AW∗-factors. (English summary)2003e:46110

Nakamoto, Ritsuo (with Takahasi, Sin-Ei) Norm equality condition in triangularinequality. (English summary) 2003b:46019

Neumann, Andreas2 An infinite dimensional version of the Kostant convexity theorem.(English summary) 2003d:47100

Ng, Chi-Keung Duality of Hopf C ∗-algebras. (English summary) 2003m:46102

Nica, Alexandru seeMingo, James, 2003f:46104Niijima, Kazuki see Miura, Takeshi

Niknam, Assadollah see Moslehian, Mohammad Sal, 2003j:46069Ogi, Hidekazu see Bhatt, S. J. et al., 2003i:46051Okayasu, Rui A construction of type III factors from boundary actions.Ozawa, Narutaka On the lifting property for universalC ∗-algebras of operator spaces.

(English summary) 2003c:46073Pardo, Enrique1 Embedding rank one simple groups into rank one simple Riesz groups.

(English summary) 2003m:06015Park, Chun-Gil Generalized simple noncommutative tori. (English summary) 2003j:46111

(with Shin, Joon-Kook) Generalized Jensen’s equations in Banach modules. (Englishsummary) 2003j:46070

Generalized non-commutative tori. (English summary) 2003e:46116Paseka, Jan Morita equivalence in the context of Hilbert modules. (English summary)

2003f:16007Paulsen, Vern I. see McCullough,Scott, 2003e:46086Pelletier, Joan Wick see Mulvey, Christopher J., 2003m:06014Pha.m Ngo.c Anh see Abrams, Gene, 2003m:16040

Pinzari, Claudia see Kerr, David, 2003f:46110Popovych, StanislavV. Monomial ∗-algebras and Tapper’s conjecture. (English summary)

2003i:46052Proskurin, Daniil P. see Jorgensen, Palle E. T. et al., 2003j:81093Razak, Shaloub On the classification of simple stably projectionless C ∗-algebras. (English


Robbins, D. A. Modules over commutativeC ∗-algebras and the BSE condition. (Englishsummary) 2003d:46059

Runde, Volker Lectures on amenability. 2003h:46001Samoılenko, Yuriı S. see Jorgensen, Palle E. T. et al., 2003j:81093Shi, Ping A homomorphic representation of the left joint spectrum. (English and Chinese

summaries) 2003f:47008

Shin, Joon-Kook see Park, Chun-Gil, 2003j:46070Shlyakhtenko, Dimitri see Dykema, Kenneth J., 2003a:46084Somerset, D. W. B. see Hudson, T. D., 2003i:46078Sommariva, Alvise (with Vianello, Marco) Positivemultiplication preserves dissipativity in

commutativeC ∗-algebras. (English summary) 2003h:46075

Steger, Tim see Kuhn, M. Gabriella, 2003k:22007Strelets, A. V. On involutions which preserve natural filtration. (English summary)

2003e:46092

Szymanski, Wojciech see Hong, Jeong Hee, 2003i:46080Takahasi, Sin-Ei see Nakamoto, Ritsuo, 2003b:46019Thaheem, A. B. see Mohammad,N. et al., 2003g:46053Timoney, Richard M. An internal characterization of complete positivity for elementary

operators. (English summary) 2003h:47067

Tomforde, Mark The ordered K0-group of a graph C ∗-algebra. (English and Frenchsummaries) 2003m:46104

Tong, Yusun A density theorem on the operator algebra in Pontrjagin space. (Englishsummary) 2003m:47134

Trapani, Camillo CQ∗-algebras of operators and application to quantum models. (see2003g:00024)

Turowska, Lyudmila B. On the complexity of the description of ∗-algebra representationsby unbounded operators. (English summary) 2003g:46063

Vianello,Marco see Sommariva, Alvise, 2003h:46075Watatani, Yasuo see Kajiwara, TsuyoshiWei, Yi-Min see Castro Gonzalez, Nieves et al., 2003e:46075Wong, Ngai Ching see Chebotar,M. A. et al., 2003m:47066


Wu, Wei8 Locally pre-C ∗-equivalent algebras. (English summary) 2003i:46050

Xue, Yi-Feng The K -groups of C (M )×< Zp for certain pairs (M, <). (English summary)2003a:46098

Zaki, Adel M. see Abd El-Kader, Zeinab M., 2003f:46099

Zarikian, Vrej see Blecher, David P. et al., 2003h:46084Zhang, Yong1 Unbounded approximate identities in algebras of compact operators on

Banach spaces. (English summary) 2003i:46046



46L06 Tensor products of C ∗-algebras


Abd El-Kader, Zeinab M. see Zaki, Adel M., 2003c:46072Joita, Maria On the bounded part of a Hilbert module over a locally C ∗-algebra. (English



Zaki, Adel M. (with Abd El-Kader, ZeinabM.) A note on primal ideal in the product C ∗-algebra. (English summary) 2003c:46072

46L07 Operator spaces and completely bounded maps[see also 47L25]


Blecher, David P. (with Effros, Edward G.; Zarikian, Vrej) One-sidedM -ideals andmultipliers in operator spaces. I. (English summary) 2003h:46084

Effros, Edward G. see Blecher, David P. et al., 2003h:46084Garcıa-Cuerva, Jose (with Parcet, Javier) Quantized orthonormal systems: a non-


Hedayatian,K. A remark on norms onMn(A ). (English summary) 2003e:46104

Magajna,Bojan On completely bounded bimodule maps overW ∗-algebras. (Englishsummary) 2003j:46082

Malamud, S. M. Some remarks on completely bounded maps. (English summary)2003g:46069

Mezrag, Lahcene Comparison of non-commutative 2- and p-summing operators fromB(l2) into OH . (English summary) 2003h:46085

Ozawa, Narutaka On the lifting property for universalC ∗-algebras of operator spaces.(English summary) 2003c:46073

Parcet, Javier see Garcıa-Cuerva, Jose, 2003m:46089

Paulsen, Vern I. Operator algebras of idempotents. (English summary) 2003j:46083

Ricard, Eric A tensor norm for Q-spaces. (English summary) 2003j:46084

Spronk, Nico Operator weak amenability of the Fourier algebra. (English summary)2003f:46091

Todorov, I. G. A characterization of Morita equivalence pairs. (English summary)2003k:46083

Werner, Wend Subspaces of L(H ) that are ∗-invariant. (English summary) 2003h:46086

Wood, Peter J. The operator biprojectivity of the Fourier algebra. (English summary)2003j:46085

Zarikian, Vrej see Blecher, David P. et al., 2003h:46084


Anantharaman-Delaroche,Claire (with Pop, Ciprian) Relative tensor products and infiniteC ∗-algebras. (English summary) 2003b:46079


Arveson, William The domain algebra of a CP-semigroup. (English summary)2003d:46094

Forrest, Brian (with Wood, Peter J.) Cohomology and the operator space structure of theFourier algebra and its second dual. (English summary) 2003d:43007


Gheondea,Aurelian (with Popescu, Gelu) Joint similarity and dilations for noncontractivesequences of operators. (English summary) 2003m:47011

Le Merdy, Christian (with Mezrag, Lahcene) Caracterisation des espaces 1-matriciellementnormes. (English summary) [Characterization of 1-matricially normed spaces]2003m:46026

Meyer, Ralf Adjoining a unit to an operator algebra. (English summary) 2003e:47122

Mezrag, Lahcene see Le Merdy, Christian, 2003m:46026

Ng, Ping Wong (with Ozawa, Narutaka) A characterization of completely 1-complemented subspaces of noncommutativeL1-spaces. (English summary)2003k:46094

Ozawa, Narutaka seeNg, Ping Wong, 2003k:46094Pop, Ciprian seeAnantharaman-Delaroche, Claire, 2003b:46079Popescu, Gelu see Gheondea, Aurelian, 2003m:47011

Ruskai, Mary Beth (with Szarek, Stanisław J.; Werner, Elisabeth) An analysis ofcompletely positive trace-preservingmaps onM2. (English summary) 2003c:46071

Strelets, A. V. A characterization of operator space modules over a full operator algebra.(Russian. English and Russian summaries) 2003d:46073

Sulaiman,W. T. Completely contractivemaps betweenC ∗-algebras. (English summary)2003j:46081

Szarek, Stanisław J. see Ruskai, Mary Beth et al., 2003c:46071Tishchenko, S. V. On a class of matrix topological ∗-algebras.(Russian. English and

Ukrainian summaries) 2003b:46070

Werner, Elisabeth see Ruskai, Mary Beth et al., 2003c:46071Wood, Peter J. see Forrest, Brian, 2003d:43007

46L08 C ∗-modules

Anantharaman-Delaroche, Claire (with Pop, Ciprian) Relative tensor products and infiniteC ∗-algebras. (English summary) 2003b:46079

Bakic, Damir (with Guljas, Boris) Hilbert C ∗-modules overC ∗-algebras of compactoperators. (English summary) 2003f:46092

(with Guljas, Boris) On a class of module maps of Hilbert C ∗-modules. (Englishsummary) 2003k:46084

(with Guljas, Boris) Wigner’s theorem in Hilbert C ∗-modules over C ∗-algebras ofcompact operators. (English summary) 2003c:46074

Blecher, David P. Multipliers and dual operator algebras. (English summary) 2003c:46075

Dykema, Kenneth J. (with Shlyakhtenko, Dimitri) Exactness of Cuntz-Pimsner C ∗-algebras. (English summary) 2003a:46084

Fowler, Neal J. Discrete product systems of Hilbert bimodules. (English summary)2003g:46070


Guljas, Boris see Bakic, Damir, 2003c:46074; 2003f:46092and 2003k:46084

Joita, Maria On Hilbert modules over locally C ∗-algebras. (English summary)2003c:46076

Strict completely positive maps between locally C ∗-algebras and representations onHilbert modules. (English summary) 2003f:46094

On the bounded part of a Hilbert module over a locally C ∗-algebra. (English summary)2003k:46085

Khelemskiı, A. Ya. see Polyakov, M. E., 2003d:46072Kucerovsky, Dan Functional calculus and representations of C0(C) on a Hilbert module.


Kusuda, Masaharu Morita equivalence for scatteredC ∗-algebras and the Radon-Nikodymproperty for imprimitivity bimodules. (English summary) 2003j:46087

Moslehian,Mohammad Sal Vector space structure on Finsler modules over C ∗-algebras.(English summary) 2003d:46071

Muhly, Paul S. Bundles over groupoids. (English summary) 2003a:46085

O’uchi, Moto Pentagonal equations for operators associated with inclusions of C ∗-algebras. (English summary) 2003f:46095

Pavlov, A. A. Description of the set of homomorphisms from the Hilbert module C0(X,M )to its dual module C0(X,M )′. (Russian. Russian summary) 2003j:46088

Polyakov, M. E. (with Khelemskiı, A. Ya.) Description of morphisms from a Hilbertmodule over a C ∗-algebra into this algebra. (Russian. Russian summary) 2003d:46072

Pop, Ciprian see Anantharaman-Delaroche, Claire, 2003b:46079Raeburn, Iain (with Thompson, Shaun J.) Countably generated Hilbert modules, the

Kasparov stabilisation theorem, and frames with Hilbert modules. (English summary)2003j:46089

Shlyakhtenko, Dimitri see Dykema, Kenneth J., 2003a:46084Strelets, A. V. A characterization of operator space modules over a full operator algebra.

(Russian. English and Russian summaries) 2003d:46073

Thompson, Shaun J. see Raeburn, Iain, 2003j:46089

Zhang, Lun Chuan Complemented Hilbert C ∗-modules and bounded module maps.(Chinese. English and Chinese summaries) 2003h:46087


Astashkevich, Alexander (with Schwarz, Albert) Projectivemodules over non-commutativetori: classification of modules with constant curvature connection. (English summary)2003d:46097


Cipriani, Fabio (with Grillo, Gabriele) Lq-L∞ Holder continuity for quasilinear parabolicequations associated to Sobolev derivations. (English summary) 2003j:35147

Constantinescu, Corneliu C ∗-algebras. Vol. 4. 2003a:46005


Grillo, Gabriele see Cipriani, Fabio, 2003j:35147Hilsum, Michel Hilbert modules of foliated manifolds with boundary. (English summary)

2003j:58033

Jarosz, Krzysztof see Blecher, David P., 2003c:46064Kusuda, Masaharu Morita equivalence for C ∗-algebras with the weak Banach-Saks

property. (English summary) 2003a:46081

Larson, David R. see Frank, Michael, 2003i:42040Magajna, Bojan On completely bounded bimodule maps overW ∗-algebras. (English


Mrcun, Janez Erratum to: “The Hopf algebroids of functions on etale groupoids and theirprincipal Morita equivalence” [J. Pure Appl. Algebra 160 (2001), no. 2-3, 249–262;MR2002h:16061]. 2003g:16048

Park, Chun-Gil (with Park, Won-Gil) On the stability of the Jensen’s equation in a Hilbertmodule. (English summary) 2003k:39034

Park, Won-Gil see Park, Chun-Gil, 2003k:39034

Paseka, Jan Morita equivalence in the context of Hilbert modules. (English summary)2003f:16007

Schwarz, Albert see Astashkevich,Alexander, 2003d:46097Todorov, I. G. A characterization of Morita equivalence pairs. (English summary)

2003k:46083

46L09 Free products of C ∗-algebrasDykema, Kenneth J. Purely infinite, simple C ∗-algebras arising from free product

constructions. II. (English summary) 2003d:46074

Ozawa, Narutaka Nuclearity of reduced amalgamated free product C ∗-algebras. (Englishsummary)

Ueda, Yoshimichi Fullness, Connes’ H-groups, and ultra-products of amalgamated freeproducts over Cartan subalgebras. (English summary) 2003m:46090



Brown, NathanialP. (with Dykema, Kenneth J.; Shlyakhtenko, Dimitri) Topologicalentropy of free product automorphisms. 2003i:46073

Choda,Marie Entropy of crossed products and entropy of free products. (Englishsummary) 2003i:46074

Dykema, Kenneth J. (with Shlyakhtenko, Dimitri) Exactness of Cuntz-Pimsner C ∗-algebras. (English summary) 2003a:46084Free subproducts and free scaled products of II1-factors. (English summary)2003i:46071(with Radulescu, Florin) Rescalings of free products of II1-factors. (English summary)2003k:46099

see also Brown, NathanialP. et al., 2003i:46073Hiai, Fumio q-deformedAraki-Woods factors.Mizuo,Masaru Free analog of Malliavin analysis. (Japanese. Japanese summary)Młotkowski,Wojciech Operator-valued version of conditionally free product. (English

summary) 2003j:46102Radulescu,Florin see Dykema, Kenneth J., 2003k:46099Riecan, Beloslav Free products of probability MV-algebras. (English summary)

2003f:46106

Shlyakhtenko,Dimitri see Dykema, Kenneth J., 2003a:46084 and Brown, Nathanial P. et al.,2003i:46073

Sniady, Piotr Gaussian random matrix models for q-deformedGaussian variables. (Englishsummary) 2003a:81096

46L10 General theory of von Neumann algebras

Akemann, Charles A. (with Anderson, Joel) A geometric spectral theory for n-tuplesof self-adjoint operators in finite von Neumann algebras. II. (English summary)2003j:46090

Anderson, Joel see Akemann, Charles A., 2003j:46090Andruchow, Esteban (with Stojanoff, Demetrio) Nilpotents in finite algebras. (English

summary) 2003k:46086Aoi, Hisashi AGalois correspondence between intermediate subalgebras and equivalence

subrelations.Ayupov, Sh. A. Description of real von Neumann algebraswith an abelian skew-Hermitian

part. (Russian) 2003i:46063

Banica, Teodor Compact Kac algebras and commuting squares. (English summary)2003a:46086

Brooks, James K. (with Saito, Kazuyuki; Wright, John David Maitland) A boundedsequence of normal functionals has a subsequence which is nearly weakly convergent.(English summary) 2003j:46091

Cassier, Gilles Semigroups in finite von Neumann algebras. (English summary)2003f:46096

Cattaneo,Gianpiero (with Hamhalter, Jan) De Morgan property for effect algebras of vonNeumann algebras. (English summary) 2003e:46105

Dadakhodzhaev, R. A. The ideal of compact operators in a semifinite real von Neumannalgebra. (Russian. English and Uzbek summaries) 2003k:46087

Gopalraj, Perumal (with Stroh, Anton) Minimum moduli in von Neumann algebras.(English summary) 2003a:46087

Hamhalter, Jan see Cattaneo,Gianpiero, 2003e:46105Hui, Un Kit Cocycle conjugacy of one parameter automorphism groups of AFD factors of

type III. (English summary) 2003e:46106

Jo, Young Soo (with Kang, Joo Ho; Moore, Robert Laurens; Trent, T. T.) Interpolation inself-adjoint settings. (English summary) 2003h:46088

Joita, Maria Locally von Neumann algebras. II. (English summary) 2003e:46107

Jolissaint,Paul Haagerup approximation property for finite von Neumann algebras.(English summary) 2003m:46091

Kadison, Richard V. The Pythagorean theorem. I. The finite case. (English summary)2003e:46108a

The Pythagorean theorem. II. The infinite discrete case. (English summary)2003e:46108b

Kang, Joo Ho see Jo, Young Soo et al., 2003h:46088Lugovaya, G. D. (with Sherstnev, A. N.) Order properties of orthogonal vector fields and a

representation theorem. (English summary) 2003i:46064

Mbekhta,Mostafa (with Stratila, Serban) Homotopy classes of partial isometries in vonNeumann algebras. (English summary) 2003f:46097

Moore, Robert Laurens see Jo, Young Soo et al., 2003h:46088Panchapagesan,T. V. On Kelley’s multiplicity function of an abelian von Neumann algebra.

(English summary) 2003d:46075Park, Yong Moon Dirichlet forms and symmetric Markovian semigroups on von Neumann

algebras. (English summary) 2003f:46098

Pfitzner, Hermann Perturbation of l1-copies and measure convergence in preduals of vonNeumann algebras. (English summary) 2003e:46109

Polyakov,M. E. An example of a spatially non-flat von Neumann algebra. 2003a:46088Saito, Kazuyuki see Brooks, James K. et al., 2003j:46091Sherstnev, A. N. see Lugovaya, G. D., 2003i:46064Sinclair, Allan M. (with Smith, Roger R.) The Laplacian MASA in a free group factor.

(English summary) 2003k:46088Smith, Roger R. see Sinclair, Allan M., 2003k:46088Stojanoff,Demetrio see Andruchow, Esteban, 2003k:46086Stratila, Serban see Mbekhta,Mostafa, 2003f:46097Stroh, Anton see Gopalraj, Perumal, 2003a:46087Trent, T. T. see Jo, Young Soo et al., 2003h:46088Wright, John David Maitland see Brooks, James K. et al., 2003j:46091Wu, Wei8 C ∗-extreme points inW ∗-algebras. (Chinese. English and Chinese summaries)

2003d:46076

Xia, Jingbo Coincidence of essential commutant and the double commutant relation in theCalkin algebra. (English summary) 2003m:46092

Zakirov, B. S. A continuity criterion for ∗-homomorphisms of rings of measurableoperators. (Russian. English and Uzbek summaries) 2003j:46092

Zhang, Jian Hua4 Local 2-cocycles. (English summary) 2003h:46089


Andruchow, Esteban (with Varela, Alejandro) Homotopy of state orbits. (Englishsummary) 2003k:46089

Continuity of the support of a state. (English summary) 2003g:46071

Bahn, Changsoo (with Ko, Chul Ki) Construction of unbounded Dirichlet forms onstandard forms of von Neumann algebras. (English summary) 2003i:47084

Bai, Zhao Fang (with Hou, Jin Chuan) Additive map preserving orthogonality orcommuting with | · |k . (Chinese. English and Chinese summaries) 2003j:47045

Bermudez, Teresa (with Kalton, Nigel J.) The range of operators on von Neumannalgebras. (English summary) 2003a:47078


Chebotar, M. A. (with Ke, W.-F.; Lee, Pjek Hwee; Wong, Ngai Ching) Mappingspreserving zero products. (English summary) 2003m:47066

Chilin, V. I. see Ganiev, I. G., 2003m:46096

Christensen, Erik1 Finite von Neumann algebra factors with property Γ. (Englishsummary) 2003h:46090

Comez, Dogan (with Litvinov, S. N.) Norm convergence of moving averages for I-integrable operators. (English summary) 2003d:46083

Dosiev, Anar Algebras of power series of elements of a Lie algebra, and Słodkowski spectra.(Russian. English and Russian summaries) 2003i:47006

Du, Hong Ke see Zhang, Jian Hua4, 2003f:47122Edwards, David Albert On function lattices and commutative von Neumann algebras.


Enomoto, Masatoshi see Watatani,Yasuo

Gabardo, Jean-Pierre (with Han, De Guang) Aspects of Gabor analysis and operatoralgebras. (English summary)

Ganiev, I. G. A decomposition of noncommutativeLp(M,Φ)-spaces associated with acenter-valued trace. (Russian. English and Uzbek summaries) 2003m:46095

(with Chilin, V. I.) Measurable bundles of ∗-algebras of measurable operators. (Russian.English and Uzbek summaries) 2003m:46096

Gaur, A. K. Norm inequalities in star algebras. (English summary) 2003e:46090

Ge, Liming (with Shen, Junhao) On free entropy dimension of finite von Neumannalgebras. 2003f:46109

Graham, Colin C. Arens regularity for quotients Ap(E) of the Herz algebra. (Englishsummary) 2003h:43003

Hadwin, Don A noncommutativemoment problem. (English summary) 2003a:46101

Hamhalter, Jan C ∗-independence andW ∗-independence of von Neumann algebras.(English summary) 2003i:46070

Han, De Guang see Gabardo, Jean-PierreHou, Jin Chuan see Hou, Shen Zhao, 2003h:47068 and Bai, Zhao Fang, 2003j:47045Hou, Shen Zhao (with Hou, Jin Chuan) K -potent preserving linear maps. (English


Kalton, Nigel J. see Bermudez, Teresa, 2003a:47078Ke, W.-F. see Chebotar,M. A. et al., 2003m:47066

Ko, Chul Ki see Bahn, Changsoo, 2003i:47084Krishnan, Srilal Principal ideals in subalgebras of groupoid C ∗-algebras. (English


Lee, Pjek Hwee see Chebotar,M. A. et al., 2003m:47066

Le Gac, Barthelemy (with Moricz, Ferenc) Bundle convergence of weighted sums ofoperators in noncommutativeL2-spaces. (English summary) 2003d:46085

Lenz, Daniel (with Stollmann, Peter) Quasicrystals, aperiodic order, and groupoid vonNeumann algebras. (English and French summaries) 2003g:52042

Litvinov, S. N. see Comez, Dogan, 2003d:46083Łuczak, A. Quantum dynamical semigroups in strongly finite von Neumann algebras.


Moricz, Ferenc see Le Gac, Barthelemy, 2003d:46085Muratov, M. A. Order properties of convergent sequences of unbounded measurable

operators affiliated to a finite von Neumann algebra. (English summary) 2003h:47141

Peralta, AntonioM. see Bunce, Leslie J., 2003m:46086

Podsedkowska, H. A linear theory of instruments on von Neumann algebras. 2003c:81088

Randrianantoanina,Narcisse Non-commutativemartingale transforms. (English summary)2003m:46098

Raynaud, Yves On ultrapowers of non commutativeLp spaces. (English summary)2003i:46069

Reich, Holger On the K - and L-theory of the algebra of operators affiliated to a finite vonNeumann algebra. (English summary) 2003m:46103

Shen, Junhao see Ge, Liming, 2003f:46109Stollmann, Peter see Lenz, Daniel, 2003g:52042Takemoto, Hideo (with Uchiyama, Atsushi) A remark of the numerical ranges of operators

on Hilbert spaces. (English summary) 2003e:47009

Tijjani, A. A. The ∗-algebra of partially I-measurable operators. (English summary)2003h:47142

Uchiyama, Atsushi see Takemoto, Hideo, 2003e:47009Vaes, Stefaan A Radon-Nikodym theorem for von Neumann algebras. (English summary)

2003k:46092

Varela, Alejandro see Andruchow, Esteban, 2003k:46089Watatani, Yasuo (with Enomoto, Masatoshi) Arrangement problems for 4 subspaces in a

Hilbert space. (Japanese)Wong, Ngai Ching see Chebotar,M. A. et al., 2003m:47066

Zhang, Jian Hua4 (with Du, Hong Ke) Perturbations of nest subalgebras in von Neumannalgebras. (Chinese. English and Chinese summaries) 2003f:47122

46L30 States

Abd El-Kader, Zeinab M. (with Zaki, Adel M.) The pure state space of certain C ∗-algebras. III. (English summary) 2003f:46099


Andruchow, Esteban (with Varela, Alejandro) Fibre bundles over orbits of states. (Englishsummary) 2003a:46089

(with Varela, Alejandro) Homotopy of state orbits. (English summary) 2003k:46089

Continuity of the support of a state. (English summary) 2003g:46071

Kishimoto, Akitaka (with Sakai, Shoichiro) Homogeneity of pure state spaces and relatedproblems. (English summary)

Moriya,Hajime On the state extension and quantum correlations for CAR systems.Nourouzi, Kourosh On the state space of C ∗-algebras. (English summary) 2003i:46065

Okayasu, Rui A construction of type III factors from boundary actions.Sakai, Shoichiro see Kishimoto, AkitakaVarela, Alejandro see Andruchow, Esteban, 2003a:46089 and 2003k:46089

Zaki, Adel M. see Abd El-Kader, Zeinab M., 2003f:46099


Cavallaro, Stefano (with Cecchini, Carlo) A unified approach to generalized conditionalexpectations operator valued weights and Radon-Nikodym derivatives on von Neumannalgebras. (English summary) 2003h:46094

Cecchini, Carlo see Cavallaro, Stefano, 2003h:46094Chebotar,M. A. (with Ke, W.-F.; Lee, Pjek Hwee; Wong, Ngai Ching) Mappings

preserving zero products. (English summary) 2003m:47066

Gabriel, Michael J. Cuntz algebra states defined by implementers of endomorphisms of theCAR algebra. (English summary) 2003e:46096

Hamhalter, Jan Multiplicativity of extremal positivemaps on abelian parts of operatoralgebras. (English summary) 2003j:46109

Hiai, Fumio q-deformedAraki-Woods factors.Jeong, Eui-Chai (with Lee, Jung-Rye; Shin, Dong-Yun) Representations of On and their

restrictions to UHFn. (English summary) 2003e:46098Kawamura, Shinzo Chaotic maps on a measure space and the behavior of the orbit of a

state. 2003k:37017Ke, W.-F. see Chebotar,M. A. et al., 2003m:47066

Kuckert, Bernd -boundedness, semipassivity, and the KMS-condition. (English summary)2003g:82012

Lee, Jung-Rye see Jeong, Eui-Chai et al., 2003e:46098Lee, Pjek Hwee see Chebotar, M. A. et al., 2003m:47066

Lieb, Elliott H. (with Pedersen, Gert K.) Convexmultivariable trace functions. (Englishsummary) 2003j:46080

Pedersen, Gert K. see Lieb, Elliott H., 2003j:46080Shin, Dong-Yun see Jeong, Eui-Chai et al., 2003e:46098Tomforde, Mark The ordered K0-group of a graph C ∗-algebra. (English and French

summaries) 2003m:46104

Weaver, Nik A counterexample to a conjecture of Akemann and Anderson. (Englishsummary) 2003i:46062

Wong,Ngai Ching see Chebotar,M. A. et al., 2003m:47066

46L35 Classifications of C ∗-algebras, factorsChristensen, Erik1 Finite von Neumann algebra factors with property Γ. (English

summary) 2003h:46090Ge, Liming (with Shen, Junhao) Generator problem for certain property T factors.

(English summary) 2003d:46077Hamana,Masamichi Infinite, "-finite, non-W ∗, AW ∗-factors. (English summary)

2003a:46090Hiai, Fumio q-deformedAraki-Woods factors.Katayama, Yoshikazu (with Takesaki, Masamichi) The structure of the automorphism

group of an approximately finite dimensional factor. 2003d:46078

Nagy, Gabriel B. A note on idempotents in finite AW∗-factors. (English summary)2003e:46110

Razak, Shaloub On the classification of simple stably projectionless C ∗-algebras. (Englishsummary) 2003h:46091

Shen, Junhao see Ge, Liming, 2003d:46077Sinclair, Allan M. (with Smith, Roger R.) Strongly singular masas in type II1 factors.


Smith, Roger R. see Sinclair, Allan M., 2003i:46066Takesaki, Masamichi see Katayama, Yoshikazu,2003d:46078



Brenken, Berndt Cuntz-Krieger algebras and endomorphisms of finite direct sums of typeI∞ factors. (English summary) 2003f:46080

Dadarlat,Marius (with Eilers, Søren) On the classification of nuclear C ∗-algebras.2003d:19006

Donati-Martin,Catherine Stochastic integration with respect to q Brownian motion.(English summary) 2003k:60120

Dykema, Kenneth J. Free subproducts and free scaled products of II1-factors. (Englishsummary) 2003i:46071

(with Radulescu, Florin) Rescalings of free products of II1-factors. (English summary)2003k:46099

Eilers, Søren see Dadarlat,Marius, 2003d:19006Hong, Jeong Hee (with Szymanski, Wojciech) Quantum spheres and projective spaces as

graph algebras. (English summary) 2003i:46080

Hui, Un Kit Cocycle conjugacy of one parameter automorphism groups of AFD factors oftype III. (English summary) 2003e:46106

Kirchberg, Eberhard (with Rørdam, Mikael) Infinite non-simple C ∗-algebras: absorbingthe Cuntz algebrasO∞. (English summary) 2003k:46080

Kishimoto, Akitaka (with Kumjian, A.) The Ext class of an approximately innerautomorphism. II. (English summary) 2003d:46081

Kumjian, A. see Kishimoto, Akitaka, 2003d:46081Kusuda,Masaharu Morita equivalence for C ∗-algebras with the weak Banach-Saks

property. (English summary) 2003a:46081

Lin, Hua Xin Simple C ∗-algebras with unique tracial states and quantized topologicalspaces. (English summary) 2003f:46085

Stable approximate unitary equivalence of homomorphisms. (English summary)2003c:46082

Livingston, N. E. A class of simple tracially AF C ∗-algebras. (English summary)2003f:46086

Martins, Nuno (with Sousa Ramos, Jose) Cuntz-Krieger algebras arising from linear modone transformations. (English summary) 2003h:37053

Mukhamedov, F. M. (with Rozikov, U. A.) On the von Neumann algebra correspondingto one phase of the inhomogeneous Potts model on a Cayley tree. (Russian. Russiansummary) 2003a:82014

Pierrot, Francois Structure de certaines C ∗-algebres associees aux reseaux de PSL2(R).(English and French summaries) [Structure of certainC ∗-algebras associated withlattices in PSL2(R)] 2003k:22008

Radulescu, Florin see Dykema, Kenneth J., 2003k:46099Rørdam, Mikael Classification of nuclear, simple C ∗-algebras. 2003i:46060

see also Kirchberg, Eberhard, 2003k:46080Rozikov, U. A. seeMukhamedov, F. M., 2003a:82014Sinclair, Allan M. (with Smith, Roger R.) The Laplacian MASA in a free group factor.


Smith, Roger R. see Sinclair, Allan M., 2003k:46088Sousa Ramos, Jose see Martins, Nuno, 2003h:37053Szymanski, Wojciech see Hong, Jeong Hee, 2003i:46080Ueda, Yoshimichi Fullness, Connes’ H-groups, and ultra-products of amalgamated free

products over Cartan subalgebras. (English summary) 2003m:46090

Yamanouchi, Takehiko Description of the automorphism group Aut(A /A α) for a minimalaction of a compact Kac algebra and its application. (English summary) 2003i:46077

46L37 Subfactors and their classification

Bhattacharyya, Bina Group actions on graphs related to Krishnan-Sunder subfactors.(English summary) 2003h:46092

Evans, David E. Fusion rules of modular invariants. (English summary) 2003j:46093

Izumi, Masaki Characterization of isomorphic group-subgroup subfactors. 2003f:46100

Canonical extension of endomorphisms of type III factors. (English summary)2003k:46090

Jones, Vaughan F. R. The annular structure of subfactors. 2003j:46094

Kawahigashi, Yasuyuki Generalized Longo-Rehren subfactors and α-induction. (Englishsummary) 2003i:46067

Theory of subfactors and its applications—operator algebras and quantum theory offields. (Japanese) 2003j:46095

Landau, Zeph A. Exchange relation planar algebras. (English summary) 2003k:46091

(with Sunder, V. S.) Planar depth and planar subalgebras. (English summary)2003j:46096

Lee, Jung-Rye Galois correspondences for subfactors related to normal subgroups.(English summary) 2003i:46068

Masuda, Toshihiko Extension of automorphisms of a subfactor to the symmetricenveloping algebra. (English summary) 2003f:46101

Notes on group actions on subfactors. (English summary) 2003m:46093

Sano, Takashi1 On commuting canonical endomorphisms of subfactors. (Englishsummary) 2003j:46097

Shlyakhtenko, Dimitri (with Ueda, Yoshimichi) Irreducible subfactors of L(F∞) of index > 4. (English summary) 2003d:46079

Srinivasan, R. (with Sunder, V. S.; Wildberger, N. J.) Discrete series of fusion algebras.(English summary) 2003d:46080

Sunder, V. S. see Srinivasan, R. et al., 2003d:46080 and Landau, Zeph A., 2003j:46096Ueda, Yoshimichi see Shlyakhtenko, Dimitri, 2003d:46079Wildberger, N. J. see Srinivasan,R. et al., 2003d:46080


Bockenhauer, Jens (with Evans, David E.) Modular invariants from subfactors. (Englishsummary) 2003g:81088

Coquereaux, Robert (with Schieber, G.) Twisted partition functions for ADE boundaryconformal field theories and Ocneanu algebras of quantum symmetries. (Englishsummary) 2003i:81120

Notes on the quantum tetrahedron. (English and Russian summaries) 2003b:81089

Evans, David E. From XY to ADE. (English summary) 2003a:82005

see also Bockenhauer, Jens, 2003g:81088Izumi, Masaki Inclusions of simple C ∗-algebras. (English summary) 2003b:46072

Kadison, Lars (with Nikshych, D. A.) Hopf algebra actions on strongly separableextensions of depth two. (English summary) 2003h:46098

(with Nikshych, D. A.) Outer actions of centralizer Hopf algebras on separableextensions. (English summary) 2003a:16053

Kawahigashi, Yasuyuki Operator algebras and topological quantum field theory. (Englishsummary)

Kodiyalam, Vijay (with Sunder, V. S.) Topological quantum field theories fromsubfactors. 2003a:57024

Nikshych, D. A. see Kadison, Lars, 2003a:16053and 2003h:46098

Ocneanu, Adrian The classification of subgroups of quantum SU(N ). 2003h:81101

Rehren, K.-H. Locality and modular invariance in 2D conformal QFT. (English summary)2003g:81224

Schieber, G. see Coquereaux, Robert, 2003i:81120Sunder, V. S. see Kodiyalam, Vijay, 2003a:57024Suzuki, Koutarou (with Wakui, Michihisa) On the Turaev-Viro-Ocneanu invariant of 3-

manifolds derived from the E6-subfactor. 2003d:57034

Vallin, Jean-Michel Groupoıdes quantiques finis. (English summary) [Finite quantumgroupoids] 2003e:16054

Wakui, Michihisa see Suzuki, Koutarou, 2003d:57034


46L40 Automorphisms

Hayashi, Tomohiro2 On certain automorphic mappings on L(Z2 SL(2,Z)).Izumi, Masaki The Rohlin property for automorphisms of C ∗-algebras. (English


Janfada,M. (with Niknam, Assadollah) Two-parameters ∗-automorphisms groups onB(H ). (English summary) 2003m:46094


Kumjian, A. see Kishimoto, Akitaka, 2003d:46081Niknam, Assadollah see Janfada,M., 2003m:46094


Choda,Marie Entropy of crossed products and entropy of free products. (Englishsummary) 2003i:46074

Gabriel, Michael J. A complete set of isometric implementers for a quasi-free endomor-phism of the CAR algebra via unitary dilations. (English summary) 2003i:46079

Haworth, P. A. (with Power, Stephen C.) The uniqueness of AF diagonals in regular limitalgebras. (English summary) 2003m:47137

He, Hong see Zhao, Wen Ling et al., 2003a:47135Hui, Un Kit Cocycle conjugacy of one parameter automorphism groups of AFD factors of


Katayama, Yoshikazu (with Takesaki, Masamichi) The structure of the automorphismgroup of an approximately finite dimensional factor. 2003d:46078

see also Miwa, Yukako, 2003i:46076Kishimoto, Akitaka Quasi-product flows on a C∗-algebra. (English summary) 2003g:46081Masuda, Toshihiko Extension of automorphisms of a subfactor to the symmetric

enveloping algebra. (English summary) 2003f:46101Miwa, Yukako (with Katayama,Yoshikazu) Characteristic invariant of tensor product

actions and actions on crossed products. (English summary) 2003i:46076Murphy, Gerard J. Simplicity of crossed products by endomorphisms. (English summary)

2003b:46083Narnhofer, Heide (with Thirring, Walter) Problems with the filling factor in the quantum

Hall effect. (English summary) 2003b:81083Power, Stephen C. see Haworth, P. A., 2003m:47137

Song, Dao Jin see Zhao, Wen Ling et al., 2003a:47135Takesaki, Masamichi see Katayama, Yoshikazu,2003d:46078Thirring, Walter see Narnhofer, Heide, 2003b:81083Zhao,Wen Ling (with Song, Dao Jin; He, Hong) The representation of finite-rank

operators. I. (Chinese. English and Chinese summaries) 2003a:47135

46L45 Decomposition theory for C ∗-algebrasPerera, Francesc Monoids arising from positive matrices over commutativeC ∗-algebras.



Pierrot, Francois Structure de certaines C ∗-algebres associees aux reseaux de PSL2(R).(English and French summaries) [Structure of certain C ∗-algebras associated withlattices in PSL2(R)] 2003k:22008

46L51 Noncommutative measure and integration

Bercovici, Hari (with Li, Wing Suet) Inequalities for eigenvalues of sums in a vonNeumann algebra. (English summary) 2003d:46082

Brooks, James K. (with Wright, John David Maitland) Representing Yosida-Hewittdecompositions for classical and non-commutative vector measures. (English summary)2003g:46072

Le Gac, Barthelemy (with Moricz, Ferenc) Beppo Levi and Lebesgue type theorems forbundle convergence in noncommutativeL2-spaces. (English summary) 2003g:46073see also Moricz, Ferenc, 2003g:46074

Li, Wing Suet see Bercovici, Hari, 2003d:46082Moricz, Ferenc (with Le Gac, Barthelemy) Bundle convergence of harmonic means of

orthogonal sequences in noncommutativeL2-spaces. (English summary) 2003g:46074see also Le Gac, Barthelemy, 2003g:46073

Vaes, Stefaan A Radon-Nikodym theorem for von Neumann algebras. (English summary)2003k:46092

Wright, John David Maitland see Brooks, James K., 2003g:46072


Brooks, James K. (with Saito, Kazuyuki; Wright, John David Maitland) A boundedsequence of normal functionals has a subsequence which is nearly weakly convergent.(English summary) 2003j:46091


Cecchini, Carlo see Cavallaro, Stefano, 2003h:46094Garcıa Mazarıo, Francisco Convergence theorems for topological group valued measures

on effect algebras. (English summary) 2003h:28022

Guido, Daniele (with Isola, Tommaso) An asymptotic dimension for metric spaces, and the0-th Novikov-Shubin invariant. (English summary) 2003i:58051

Isola, Tommaso see Guido, Daniele, 2003i:58051Kustermans, Johan (with Vaes, Stefaan) Locally compact quantum groups in the von

Neumann algebraic setting. (English summary) 2003k:46081

Lugovaya, G. D. (with Sherstnev, A. N.) Order properties of orthogonal vector fields and arepresentation theorem. (English summary) 2003i:46064

Mushtari, D. Kh. Some remarks on measures on orthogonal rational projections and therational sphere. (English summary) 2003b:03104

Pfitzner, Hermann Perturbation of l1-copies and measure convergence in preduals of vonNeumann algebras. (English summary) 2003e:46109

Saito, Kazuyuki see Brooks, James K. et al., 2003j:46091

Sherstnev, A. N. see Lugovaya, G. D., 2003i:46064Vaes, Stefaan see Kustermans, Johan, 2003k:46081Wright, John David Maitland see Brooks, James K. et al., 2003j:46091

46L52 Noncommutative function spaces

Antoniou, Ioannis E. (with Majewski, W. A.; Suchanecki, Z.) Implementability of Liouvilleevolution, Koopman and Banach-Lamperti theorems in classical and quantum dynamics.(English summary) 2003k:46093

Chilin, V. I. see Ganiev, I. G., 2003m:46096

Comez, Dogan (with Litvinov, S. N.) Norm convergence of moving averages for I-integrable operators. (English summary) 2003d:46083

Ganiev, I. G. A decomposition of noncommutativeLp(M,Φ)-spaces associated with acenter-valued trace. (Russian. English and Uzbek summaries) 2003m:46095

(with Chilin, V. I.) Measurable bundles of ∗-algebras of measurable operators. (Russian.English and Uzbek summaries) 2003m:46096

(with Chilin, V. I.) Measurable bundles of noncommutativeLp-spaces associated witha center-valued trace [translation of Mat. Tr. 4 (2001), no. 2, 27–41;MR 2002m:46093].(English summary)

Junge, Marius (with Xu, Quan Hua) Theoremes ergodiques maximaux dans les espacesLp non commutatifs. (English and French summaries) [Maximal ergodic theorems innoncommutativeLp-spaces] 2003f:46102

Litvinov, S. N. see Comez, Dogan, 2003d:46083Majewski, W. A. see Antoniou, Ioannis E. et al., 2003k:46093Ng, Ping Wong (with Ozawa, Narutaka) A characterization of completely 1-

complemented subspaces of noncommutativeL1-spaces. (English summary)2003k:46094

Ozawa, Narutaka seeNg, Ping Wong, 2003k:46094de Pagter, B. (with Witvliet, H.; Sukochev, F. A.) Double operator integrals. (English


Randrianantoanina,Narcisse Sequences in non-commutativeLp-spaces. (English summary)2003h:46093

Raynaud, Yves On ultrapowers of non commutativeLp spaces. (English summary)2003i:46069

Skvortsova, G. Sh. On the weak sequential completeness of quotient spaces of the space ofintegrable operators. (Russian) 2003k:46095

Suchanecki, Z. see Antoniou, Ioannis E. et al., 2003k:46093Sukochev, F. A. (with Xu, Quan Hua) Embedding of non-commutativeLp-spaces: p < 1.


see also de Pagter, B. et al., 2003g:46075Witvliet, H. see de Pagter, B. et al., 2003g:46075Xu, Quan Hua see Junge,Marius, 2003f:46102and Sukochev, F. A., 2003m:46097


Connes, Alain A lecture on noncommutative geometry. (English summary) 2003b:58009

Le Gac, Barthelemy see Moricz, Ferenc, 2003g:46074Moricz, Ferenc (with Le Gac, Barthelemy) Bundle convergence of harmonic means of

orthogonal sequences in noncommutativeL2-spaces. (English summary) 2003g:46074

Popescu, Gelu Meromorphic interpolation in several variables. (English summary)2003g:47030

46L53 Noncommutative probability and statistics

Asai, Nobuhiro (with Kubo, Izumi; Kuo, Hui-Hsiung) Segal-Bargmann transforms of one-mode interacting Fock spaces associated with Gaussian and Poisson measures. (Englishsummary) 2003j:46099

Ben Ghorbal, Anis (with Schurmann, Michael) Non-commutative notions of stochasticindependence. (English summary) 2003k:46096


Cecchini, Carlo see Cavallaro, Stefano, 2003h:46094Gordina, Maria Taylor map on groups associated with a II1-factor. (English summary)

2003g:46076

Guta, Madalin (with Maassen, Hans) Generalised Brownian motion and secondquantisation. (English summary) 2003d:46084

Hamhalter, Jan C ∗-independence andW ∗-independence of von Neumann algebras.(English summary) 2003i:46070

Junge, Marius Doob’s inequality for non-commutativemartingales. (English summary)2003k:46097

Kerr, David State space dynamics and entropy. (English summary)Kubo, Izumi see Asai, Nobuhiro et al., 2003j:46099Kuo, Hui-Hsiung see Asai, Nobuhiro et al., 2003j:46099Le Gac, Barthelemy (with Moricz, Ferenc) Bundle convergence of weighted sums of

operators in noncommutativeL2-spaces. (English summary) 2003d:46085

Lenczewski, Romuald Filtered probability. 2003a:46091

Noncommutative extensions of the Fourier transform and its logarithm. (Englishsummary) 2003e:46111

Maassen, Hans see Guta, Madalin, 2003d:46084Mizuo, Masaru Free analog of Malliavin analysis. (Japanese. Japanese summary)Moricz, Ferenc see Le Gac, Barthelemy, 2003d:46085Muhly, Paul S. (with Solel, Baruch) QuantumMarkov processes (correspondences and

dilations). (English summary) 2003j:46100

Oravecz, Ferenc Fermi convolution. (English summary) 2003e:46112

Randrianantoanina,Narcisse Non-commutativemartingale transforms. (English summary)2003m:46098

Schurmann, Michael see Ben Ghorbal, Anis, 2003k:46096Solel, Baruch see Muhly, Paul S., 2003j:46100Tijjani, A. A. On noncommutative stopping integration. (English summary) 2003d:46086


Convergence of supermartingales on Haagerup’s Lp-spaces. (English summary)2003h:46095


Akant, L. (with Krishnaswami, G. S.; Rajeev, S. G.) Entropy of operator-valued randomvariables: a variational principle for large N matrix models. (English summary)2003i:81139

Aoi, Hisashi AGalois correspondence between intermediate subalgebras and equivalencesubrelations.

CabanalDuvillard, T. (with Guionnet, Alice) Large deviations upper bounds for thelaws of matrix-valued processes and non-communicative entropies. (English summary)2003a:60040


Guionnet,Alice see CabanalDuvillard, T., 2003a:60040Hellmich, Jurgen (with Honegger, Reinhard; Kostler, Claus; Kummerer, Burkhard;

Rieckers, Alfred) Couplings to classical and non-classical squeezed white noise asstationary Markov processes. (English summary) 2003c:81104

Honegger, Reinhard see Hellmich, Jurgen et al., 2003c:81104Kostler, Claus see Hellmich, Jurgen et al., 2003c:81104Krishnaswami, G. S. see Akant, L. et al., 2003i:81139Kummerer, Burkhard see Hellmich, Jurgen et al., 2003c:81104Liebscher, Volkmar A limit theorem for quantumMarkov chains associated to beam

splittings. (English summary) 2003a:81093

Lubnauer, K. Operator-stable quantum probability operators. 2003a:81094Mukhamedov, F. M. On a regularity condition for quantum quadratic stochastic processes.

(Russian. English and Ukrainian summaries) 2003g:81111

Muraki, Naofumi The five independences as quasi-universal products. (English summary)2003e:46113

Nica, Alexandru (with Shlyakhtenko, Dimitri; Speicher, Roland) Operator-valueddistributions. I. Characterizations of freeness. 2003f:46105

Parcet, Javier see Garcıa-Cuerva, Jose, 2003m:46089Rajeev, S. G. see Akant, L. et al., 2003i:81139Rieckers, Alfred see Hellmich, Jurgen et al., 2003c:81104Serbanescu, Cristina NoncommutativeMarkov processes as stochastic equations’ solutions.


Shlyakhtenko,Dimitri see Nica, Alexandru et al., 2003f:46105Sniady, Piotr Gaussian random matrix models for q-deformedGaussian variables. (English

summary) 2003a:81096Random regularization of Brown spectral measure. (English summary) 2003k:15029

Speicher, Roland see Nica, Alexandru et al., 2003f:46105

46L54 Free probability and free operator algebras

Barndorff-Nielsen,Ole E. (with Thorbjørnsen, Steen) Levy laws in free probability.(English summary) 2003j:46101a

(with Thorbjørnsen, Steen) Levy processes in free probability. (English summary)2003j:46101b

Biane, Philippe (with Lehner, Franz) Computation of some examples of Brown’s spectralmeasure in free probability. (English summary) 2003f:46103

(with Voiculescu, Dan) A free probability analogue of the Wasserstein metric on thetrace-state space. (English summary) 2003d:46087

Free probability and combinatorics. (English summary) 2003k:46098Bozejko, Marek Deformed free probability of Voiculescu. (English summary) (see

2003a:00027)Dykema, Kenneth J. Free subproducts and free scaled products of II1-factors. (English

summary) 2003i:46071(with Radulescu, Florin) Rescalings of free products of II1-factors. (English summary)2003k:46099

Fannes,Mark (with Petz, Denes) Perturbation of Wigner matrices and a conjecture.(English summary) 2003m:46099

Hiai, Fumio (with Mizuo, Masaru; Petz, Denes) Free relative entropy for measures and acorresponding perturbation theory. (English summary) 2003b:46081

Larsen, Flemming Powers of R-diagonal elements. (English summary) 2003g:46077Lehner, Franz see Biane, Philippe, 2003f:46103Mingo, James (with Nica, Alexandru) Random unitaries in non-commutative tori, and an

asymptotic model for q-circular systems. (English summary) 2003f:46104

Mizuo,Masaru see Hiai, Fumio et al., 2003b:46081Młotkowski,Wojciech Operator-valued version of conditionally free product. (English


Muraki, Naofumi The five independences as quasi-universal products. (English summary)2003e:46113

Classification of universal notions of stochastic independence.Nica, Alexandru (with Shlyakhtenko, Dimitri; Speicher, Roland) Operator-valued

distributions. I. Characterizations of freeness. 2003f:46105see also Mingo, James, 2003f:46104

Petz, Denes see Hiai, Fumio et al., 2003b:46081 and Fannes,Mark, 2003m:46099

Radulescu,Florin see Dykema, Kenneth J., 2003k:46099Riecan, Beloslav Free products of probability MV-algebras. (English summary)

2003f:46106Saitoh,Naoko (with Yoshida, Hiroaki1) The infinite divisibility and orthogonal polyno-

mials with a constant recursion formula in free probability theory. (English summary)2003e:46114

see also Yoshida,Hiroaki1

Shlyakhtenko,Dimitri A microstates approach to relative free entropy. (English summary)2003h:46096see also Nica, Alexandru et al., 2003f:46105

Sniady, Piotr Inequality for Voiculescu’s free entropy in terms of Brown measure.2003i:46072

Speicher, Roland see Nica, Alexandru et al., 2003f:46105

Thorbjørnsen, Steen see Barndorff-Nielsen,Ole E., 2003j:46101a and 2003j:46101b

Voiculescu, Dan Free entropy. (English summary) 2003c:46077

Analytic subordination consequences of free Markovianity. 2003k:46100

Cyclomorphy. 2003a:46092

The topological version of free entropy. (English summary) 2003m:46100see also Biane, Philippe, 2003d:46087

Yoshida,Hiroaki1 A canonical random variable for the q-deformedmoments-cumulantsformula.see also Saitoh,Naoko, 2003e:46114


Collins, Benoıt Moments and cumulants of polynomial random variables on unitarygroups, the Itzykson-Zuber integral, and free probability. 2003m:28015

Muller, Ralf R. A random matrix model of communication via antenna arrays. (Englishsummary) 2003j:94003

Shlyakhtenko, Dimitri (with Ueda, Yoshimichi) Irreducible subfactors of L(F∞) of index > 4. (English summary) 2003d:46079


On q-deformed quantum stochastic calculus. (English summary) 2003g:81112

Random regularization of Brown spectral measure. (English summary) 2003k:15029

Multinomial identities arising from free probability theory. (English summary)2003k:05011

Ueda, Yoshimichi see Shlyakhtenko, Dimitri, 2003d:46079

46L55 Noncommutative dynamical systems [see also 28Dxx,37Kxx, 37Lxx, 54H20]

Al′beverio, S. (with Goswami, Debashish) A remark on the structure of symmetricquantum dynamical semigroups on von Neumann algebras. (English summary)2003j:46103

Amosov, G. G. On cocycle conjugacy of quasifree endomorphism semigroups on the CARalgebra. 2003d:46088

Arveson, William Generators of non-commutative dynamics. (English summary)2003f:46107

Baumgartel, Hellmut (with Lledo, Fernando) Dual group actions on C ∗-algebras and theirdescription by Hilbert extensions. (English summary) 2003m:46101

Bondarenko, A. V. (with Popovych, Stanislav V.) C ∗-algebras associated with F2n zeroSchwarzian unimodal mappings. (English summary) 2003g:46078

Brown, NathanialP. (with Dykema, Kenneth J.; Shlyakhtenko, Dimitri) Topologicalentropy of free product automorphisms. 2003i:46073

Chen, Xiaoman (with Wei, Shuyun) Spectral invariant subalgebras of reduced crossedproduct C ∗-algebras. (English summary) 2003k:46101

see also Hou, Chengjun, 2003a:46095Choda, Marie Entropy of crossed products and entropy of free products. (English


Deaconu, V. (with Kumjian, A.; Muhly, Paul S.) Cohomology of topological graphs andCuntz-Pimsner algebras. (English summary) 2003a:46093

Doplicher, Sergio (with Longo, Roberto; Roberts, John E.; Zsido, Laszlo) A remark onquantum group actions and nuclearity. (English summary) 2003h:46097

Dykema, Kenneth J. see Brown, Nathanial P. et al., 2003i:46073Echterhoff, Siegfried (with Williams, Dana P.) Locally inner actions on C0(X )-algebras.


(with Quigg, John) Full duality for coactions of discrete groups. (English summary)2003g:46079

Exel, Ruy (with Laca, Marcelo; Quigg, John) Partial dynamical systems and C ∗-algebrasgenerated by partial isometries. (English summary) 2003f:46108

Fannes, Mark (with Tuyls, P.) A continuity property of quantum dynamical entropy.(English summary) 2003c:46078

Farsi, Carla (with Watling, Neil) C ∗-algebras of dynamical systems of quasi rotations ontori. (English summary) 2003a:46094

Soft C ∗-algebras. (English summary) 2003d:46089

Ge, Liming (with Shen, Junhao) On free entropy dimension of finite von Neumannalgebras. 2003f:46109

Goswami, Debashish see Al′beverio, S., 2003j:46103Hirshberg, Ilan On C ∗-algebras associated to certain endomorphisms of discrete groups.

(English summary) 2003d:46090

Hou, Chengjun (with Chen, Xiaoman) A note on the ideals of groupoid C ∗-algebras fromSmale spaces. (English summary) 2003a:46095

an Huef, Astrid (with Raeburn, Iain) Regularity of induced representations and a theoremof Quigg and Spielberg. 2003g:46080

Izumi, Masaki Non-commutative Poisson boundaries and compact quantum groupactions. (English summary) 2003j:46105

Jang, Sun Young The structure of reduced semigroup C ∗-algebras. (English summary)2003b:46082

Jiang, Li Ning (with Zhu, Guang Jian) C ∗-index in the double algebra of a finite group.(Chinese. English and Chinese summaries)

Kadison, Lars (with Nikshych, D. A.) Hopf algebra actions on strongly separableextensions of depth two. (English summary) 2003h:46098

Kajiwara, Tsuyoshi (with Watatani, Yasuo) C ∗ algebras generated by bimodules ofcomplex dynamical systems—the case of polynomials. (Japanese)

Kaliszewski, S. (with Quigg, John; Raeburn, Iain) Skew products and crossed products bycoactions. (English summary) 2003a:46096

Katayama, Yoshikazu see Miwa, Yukako, 2003i:46076Katsura, Takeshi AF-embeddability of crossed products of Cuntz algebras. (English


Crossed products of Cuntz algebras by quasi-free actions of abelian groups.Kerr, David (with Pinzari, Claudia) Noncommutative pressure and the variational

principle in Cuntz-Krieger-typeC ∗-algebras. (English summary) 2003f:46110


Dimension and dynamical entropy for metrized C ∗-algebras. (English summary)2003k:46102

Kishimoto, Akitaka Quasi-product flows on a C∗-algebra. (English summary) 2003g:46081

Approximately inner flows on separableC ∗-algebras. (English summary) 2003h:46099Kumjian, A. see Deaconu, V. et al., 2003a:46093Laca, Marcelo see Exel, Ruy et al., 2003f:46108Larsen, Nadia S. (with Raeburn, Iain) Faithful representations of crossed products by

actions of Nk. (English summary) 2003a:46097

(with Raeburn, Iain) Representations of Hecke algebras and dilations of semigroupcrossed products. (English summary) 2003f:46111

Lledo, Fernando see Baumgartel, Hellmut, 2003m:46101Longo, Roberto seeDoplicher, Sergio et al., 2003h:46097Łuczak, A. Quantum dynamical semigroups in strongly finite von Neumann algebras.


Matui, Hiroki AF embeddability of crossed products of AT algebras by the integers and itsapplication. (English summary) 2003h:46101

On the AF embeddability of crossed product C ∗ algebras generated from Z2 minimalsystems. (Japanese)

Miwa, Yukako (with Katayama,Yoshikazu) Characteristic invariant of tensor productactions and actions on crossed products. (English summary) 2003i:46076

Muhly, Paul S. see Deaconu, V. et al., 2003a:46093Mukhamedov, F. M. Ergodic properties of quadratic discrete dynamical systems on C ∗-

algebras. (English summary) 2003e:46115

Murphy, Gerard J. Simplicity of crossed products by endomorphisms. (English summary)2003b:46083

Neshveev, S. V. (with Størmer, Erling) The McMillan theorem for a class of asymptoticallyabelianC ∗-algebras. (English summary) 2003d:46091

(with Størmer, Erling) Ergodic theory and maximal abelian subalgebras of thehyperfinite factor. (English summary) 2003j:46106

Ergodicity of the action of the positive rationals on the group of finite adeles and theBost-Connes phase transition theorem. (English summary) 2003d:46092

Ng, Chi-Keung Duality of Hopf C ∗-algebras. (English summary) 2003m:46102Nikshych, D. A. see Kadison, Lars, 2003h:46098Okayasu, Rui Cuntz-Krieger-Pimsneralgebras associated with amalgamated free product

groups. (English summary) 2003h:46102

Pinzari, Claudia see Kerr, David, 2003f:46110Popovych,StanislavV. see Bondarenko, A. V., 2003g:46078Quigg, John see Kaliszewski, S. et al., 2003a:46096;Exel, Ruy et al., 2003f:46108 and

Echterhoff, Siegfried, 2003g:46079Raeburn, Iain see Kaliszewski, S. et al., 2003a:46096;Larsen, Nadia S., 2003a:46097;

2003f:46111 and an Huef, Astrid, 2003g:46080Roberts, John E. see Doplicher, Sergio et al., 2003h:46097Shen, Junhao see Ge, Liming, 2003f:46109Shlyakhtenko,Dimitri see Brown, Nathanial P. et al., 2003i:46073Størmer, Erling see Neshveev, S. V., 2003d:46091 and 2003j:46106

Stroh, Anton Operator algebras, ergodic theory and possible interpretations in quantumstatistical mechanics.

Tomiyama, Jun The interplay between topological dynamics and theory of C ∗-algebras. II.2003d:46093

Tuyls, P. see Fannes,Mark, 2003c:46078Watatani,Yasuo see Kajiwara, TsuyoshiWatling, Neil see Farsi, Carla, 2003a:46094Wei, Shuyun see Chen, Xiaoman, 2003k:46101Williams, Dana P. see Echterhoff, Siegfried, 2003j:46104Yamanouchi,Takehiko Description of the automorphism group Aut(A /A α) for a minimal

action of a compact Kac algebra and its application. (English summary) 2003i:46077Zhu, Guang Jian see Jiang, Li Ning

Zsido, Laszlo see Doplicher, Sergio et al., 2003h:46097



Bates, Teresa Applications of the gauge-invariant uniqueness theorem for graph algebras.(English summary) 2003g:46064

Bhattacharyya, Bina Group actions on graphs related to Krishnan-Sunder subfactors.(English summary) 2003h:46092

Borchers, H. J. Quantum field theory as dynamical system. (English summary) (see2003d:81004)

Bozejko, Marek (with Guta, Madalin) Functors of white noise associated to characters ofthe infinite symmetric group. (English summary) 2003g:81110

Brown, Lawrence G. Continuity of actions of groups and semigroups on Banach spaces.(English summary) 2003b:22014

Brown, NathanialP. (with Germain, Emmanuel) Dual entropy in discrete groups withamenable actions. (English summary) 2003c:37021

Chen, Xiaoman (with Wang, Qin2) Notes on ideals of Roe algebras. (English summary)2003a:46078

Crisp, John S. (with Laca, Marcelo) On the Toeplitz algebras of right-angled and finite-type Artin groups. (English summary) 2003a:46079

Fagnola,Franco (with Rebolledo, Rolando) Some results on invariant states for quantumMarkov semigroups. (English summary) 2003m:81128

(with Rebolledo, Rolando) Subharmonic projections for a quantumMarkov semigroup.(English summary) 2003c:47075

Forrest, A. H. (with Hunton, John Robert; Kellendonk, Johannes) Topological invariantsfor projection method patterns. (English summary) 2003j:37024

Gaboriau, Damien On orbit equivalence of measure preserving actions. (English summary)2003c:22027

Ge, Liming (with Shen, Junhao) Generator problem for certain property T factors.(English summary) 2003d:46077

Georgescu, Vladimir (with Iftimovici, Andrei) Crossed products of C ∗-algebras andspectral analysis of quantum Hamiltonians. (English summary) 2003k:81053

Germain, Emmanuel see Brown, Nathanial P., 2003c:37021Guta, Madalin see Bozejko, Marek, 2003g:81110Hamana, Masamichi Infinite, "-finite, non-W ∗, AW ∗-factors. (English summary)

2003a:46090

Hayashi, Tomohiro2 On certain automorphic mappings on L(Z2 SL(2,Z)).Hui, Un Kit Cocycle conjugacy of one parameter automorphism groups of AFD factors of


Hunton, John Robert see Forrest, A. H. et al., 2003j:37024Iftimovici, Andrei see Georgescu, Vladimir, 2003k:81053Izumi, Masaki The Rohlin property for automorphisms of C ∗-algebras. (English


Inclusions of simple C ∗-algebras. (English summary) 2003b:46072

Canonical extension of endomorphisms of type III factors. (English summary)2003k:46090

Jeong, Eui-Chai (with Lee, Jung-Rye; Shin, Dong-Yun) Representations of On and theirrestrictions to UHFn. (English summary) 2003e:46098

Junge, Marius (with Xu, Quan Hua) Theoremes ergodiques maximaux dans les espacesLp non commutatifs. (English and French summaries) [Maximal ergodic theorems innoncommutativeLp-spaces] 2003f:46102

Katayama, Yoshikazu (with Takesaki, Masamichi) The structure of the automorphismgroup of an approximately finite dimensional factor. 2003d:46078

Katsura, Takeshi A summary of the works “A class of C ∗-algebras generalizing both graphalgebras and homeomorphism C ∗-algebras”.

Kellendonk, Johannes see Forrest, A. H. et al., 2003j:37024Kerr, David State space dynamics and entropy. (English summary)Khoshkam, Mahmood (with Skandalis, Georges) Regular representation of groupoid C ∗-

algebras and applications to inverse semigroups. (English summary) 2003f:46084

Kuckert, Bernd -boundedness, semipassivity, and the KMS-condition. (English summary)2003g:82012

Laca, Marcelo see Crisp, John S., 2003a:46079Larsen, Nadia S. (with Putnam, Ian F.; Raeburn, Iain) The two-prime analogue of the

Hecke C ∗-algebra of Bost and Connes. (English summary) 2003c:46069

Lee, Jung-Rye see Jeong, Eui-Chai et al., 2003e:46098Maghfoul,Mohamed Sur la forte K -moyennabilite d’un groupoıde. (English and French

summaries) [The strong K -amenability of a groupoid] 2003i:19004

Maistrenko, Tatyana Yu. About conjugacy of simple unimodal dynamical systems. (Englishsummary) 2003e:37050

Masuda, Toshihiko Notes on group actions on subfactors. (English summary)2003m:46093

Muhly, Paul S. (with Solel, Baruch) QuantumMarkov processes (correspondences anddilations). (English summary) 2003j:46100

Naudts, Jan Covariance approach to quantum theory. (English summary) 2003g:81091Nessonov, N. I. Complete classification of admissible representations of infinite-

dimensional classical matrix groups. I. (Russian. English, Russian and Ukrainian sum-maries) 2003a:22018

Complete classification of admissible representations of infinite-dimensional classicalmatrix groups. II. (Russian. English, Russian and Ukrainian summaries) 2003j:22027

Ostrovskiı, V. L. (with Proskurin, Daniil P.) Operator relations, dynamical systems, andrepresentations of a class of Wick algebras. (English summary) 2003b:47109

Park, Chun-Gil Generalized non-commutative tori. (English summary) 2003e:46116

Proskurin, Daniil P. see Ostrovskiı, V. L., 2003b:47109Putnam, Ian F. see Larsen, Nadia S. et al., 2003c:46069Raeburn, Iain see Larsen, Nadia S. et al., 2003c:46069Rebolledo, Rolando see Fagnola, Franco, 2003c:47075and 2003m:81128

Shen, Junhao see Ge, Liming, 2003d:46077Shin, Dong-Yun see Jeong, Eui-Chai et al., 2003e:46098Skandalis, Georges see Khoshkam, Mahmood, 2003f:46084Solel, Baruch see Muhly, Paul S., 2003j:46100Sudo, Takahiro Stable ranks of multiplier algebras of C ∗-algebras. (English summary)

2003f:46088

Szymanski, Wojciech On semiprojectivity of C ∗-algebras of directed graphs. (Englishsummary) 2003a:46083

Takesaki, Masamichi seeKatayama, Yoshikazu, 2003d:46078Vershik, A. M. Graded Lie algebras and dynamical systems. (English summary)

2003g:37006Wang, Qin2 see Chen, Xiaoman, 2003a:46078Xu, Quan Hua see Junge,Marius, 2003f:46102Zacharias, Joachim Endomorphisms of continuous Cuntz algebras. (English summary)

2003e:46103

46L57 Derivations, dissipations and positive semigroups in C ∗-algebras

Arveson, William The domain algebra of a CP-semigroup. (English summary)2003d:46094

Hudson, T. D. (with Somerset, D. W. B.) Norms of inner derivations of limit algebras.(English summary) 2003i:46078

Skeide, Michael Dilations, product systems, and weak dilations. (Russian. Russiansummary) 2003h:46103

Somerset, D. W. B. see Hudson, T. D., 2003i:46078


Carbone, Raffaella (with Fagnola, Franco) The Feller property of a class of quantumMarkov semigroups. (English summary) 2003m:82057

Fagnola, Franco see Carbone, Raffaella, 2003m:82057


Runde, Volker Lectures on amenability. 2003h:46001

Solel, Baruch see Muhly, Paul S., 2003j:46100


Zacharias, Joachim Endomorphisms of continuous Cuntz algebras. (English summary)2003e:46103

Zhang, Jian Hua4 Local 2-cocycles. (English summary) 2003h:46089



46L60 Applications of selfadjoint operator algebras to physics[see also 46N50, 46N55, 47L90, 81T05, 82B10, 82C10]

Abe, Mitsuo (with Kawamura, Katsunori) Recursive fermion system in Cuntz algebra. I.Embeddings of fermion algebra into Cuntz algebra. (English summary) 2003c:46079

Gabriel, Michael J. A complete set of isometric implementers for a quasi-free endomor-phism of the CAR algebra via unitary dilations. (English summary) 2003i:46079

Kawamura, Katsunori see Abe, Mitsuo, 2003c:46079Paseka, Jan (with Rosicky, Jirı) Quantales. 2003d:46095

Rosicky, Jirı see Paseka, Jan, 2003d:46095


Abbati,Maria Cristina (with Mania, Alessandro) On the spectrum of holonomy algebras.(English summary) 2003i:53071

Abe, Mitsuo (with Kawamura, Katsunori) Nonlinear transformation group of CARfermion algebra. (English summary) 2003i:81108

Bagarello, Fabio (with Trapani, Camillo) Algebraic dynamics in O∗-algebras: a perturba-tive approach. (English summary) 2003d:47099

Baumgartel, Hellmut On a theorem of Ashtekar and Lewandowski in the mathemat-ical framework of canonical quantization in quantum gravity. (English summary)2003a:81079

Belavkin, VyacheslavP. (with Ohya, Masanori) Entanglement, quantum entropy andmutual information. (English summary) 2003k:81011

Bockenhauer, Jens (with Evans, David E.) Modular invariants from subfactors. (Englishsummary) 2003g:81088

Borchers, H. J. Quantum field theory as dynamical system. (English summary) (see2003d:81004)On the gap in the spectrum of the translations. (English summary) 2003b:81111

Brunetti, Romeo (with Guido, Daniele; Longo, Roberto) Modular localization and Wignerparticles. (English summary) 2003h:81119

Buchholz,Detlev (with Ojima, Izumi; Roos, Hansjorg) Thermodynamic properties of non-equilibrium states in quantum field theory. (English summary) 2003d:81159

Cattaneo,Gianpiero (with Hamhalter, Jan) De Morgan property for effect algebras of vonNeumann algebras. (English summary) 2003e:46105

Coquereaux,Robert Notes on the quantum tetrahedron. (English and Russian summaries)2003b:81089

Dai, Jian1 (with Song, Xing-Chang) Connes’ distance of one-dimensional lattices: generalcases. (English summary) 2003b:81094

Dias Barreto, Stephen A quantum spin system with random interactions. I. (Englishsummary) 2003g:82086

Doplicher, Sergio (with Piacitelli, Gherardo) Any compact group is a gauge group.(English summary) 2003g:81118

Duvenhage,Rocco Recurrence in quantummechanics. (English summary) 2003g:81089Ebrahimi-Fard, K. On the relation between modular theory and geometry. (English


Elbau, P. (with Graf, G. M.) Equality of bulk and edge Hall conductance revisited.(English summary) 2003h:81264

Evans, David E. From XY to ADE. (English summary) 2003a:82005

Fusion rules of modular invariants. (English summary) 2003j:46093

see also Bockenhauer, Jens, 2003g:81088Fagnola,Franco (with Rebolledo, Rolando) Lectures on the qualitative analysis of

quantumMarkov semigroups.Fannes,Mark (with Tuyls, P.) A continuity property of quantum dynamical entropy.


Fassarella, Lucio (with Schroer, Bert) Modular origin of chiral diffeomorphisms andtheir fuzzy analogs in higher-dimensional quantum field theories. (English summary)2003i:81134

Friedman, Yaakov (with Russo, Bernard) A new approach to spinors and some representa-tions of the Lorentz group on them. (English summary) 2003a:81083

Georgescu, Vladimir Spectral analysis of quantum field models with a particle numbercutoff. (English summary) 2003k:81128

Gibilisco, Paolo (with Isola, Tommaso) Connections on statistical manifolds of densityoperators by geometry of noncommutativeLp-spaces. (English summary) 2003c:46085

Graf, G. M. see Elbau, P., 2003h:81264Guido, Daniele (with Longo, Roberto; Roberts, John E.; Verch, Rainer) Charged sectors,

spin and statistics in quantum field theory on curved spacetimes. (English summary)2003b:81112

see also Brunetti, Romeo et al., 2003h:81119Hamhalter, Jan C ∗-independence andW ∗-independence of von Neumann algebras.


see also Cattaneo,Gianpiero, 2003e:46105Isidro, Jose Marıa2 Twisted K -theory in g > 1 from D-branes. (English summary)

2003k:58043

Isola, Tommaso see Gibilisco, Paolo, 2003c:46085Jaksic, Vojkan (with Pillet, C.-A.) Non-equilibrium steady states of finite quantum systems

coupled to thermal reservoirs. (English summary) 2003a:82049

(with Pillet, C.-A.) Mathematical theory of non-equilibrium quantum statisticalmechanics. (English summary) 2003i:82053

Kawahigashi, Yasuyuki Theory of subfactors and its applications—operator algebras andquantum theory of fields. (Japanese) 2003j:46095

Operator algebras and topological quantum field theory. (English summary)Kawamura, Katsunori see Abe, Mitsuo, 2003i:81108

Kellendonk, Johannes (with Richter, Thomas; Schulz-Baldes, Hermann) Edge currentchannels and Chern numbers in the integer quantum Hall effect. (English summary)2003a:81080

Keyl, Michael Quantum fields along worldlines. 2003b:81137

Koster, S. Conformal transformations as observables. (English summary) 2003j:81104

Kuckert, Bernd Covariant thermodynamics of quantum systems: passivity, semipassivity,and the Unruh effect. (English summary) 2003h:82012

Erratum: “Localization regions of local observables” [Comm. Math. Phys. 215 (2000),no. 1, 197–216;MR 2002c:81112]. (English summary) 2003h:81120

-boundedness, semipassivity, and the KMS-condition. (English summary) 2003g:82012Kuna, Maciej see Naudts, Jan, 2003b:46075Liebscher, Volkmar (with Skeide, Michael) Units for the time-ordered Fock module.


Longo, Roberto Notes for a quantum index theorem—introduction. 2003e:58034see also Guido, Daniele et al., 2003b:81112 and Brunetti, Romeo et al., 2003h:81119

Lubnauer, K. Operator-stable quantum probability operators. 2003a:81094

Ługiewicz, P. (with Olkiewicz, R.) Decoherence in infinite quantum systems. (Englishsummary) 2003k:81091

Mania, Alessandro see Abbati,Maria Cristina, 2003i:53071Mantoiu,Marius (with Purice, Radu) The algebra of observables in a magnetic field.

2003m:81105

Matsui, Taku Bosonic central limit theorem for the one-dimensional XY model. (Englishsummary) 2003m:82006

Moriya, Hajime Some aspects of quantum entanglement for CAR systems. (Englishsummary) 2003d:81051

Some entropy inequalities for CAR systems.On the state extension and quantum correlations for CAR systems.

Muger, Michael Conformal field theory and Doplicher-Roberts reconstruction. (Englishsummary) 2003h:81204


Mukhamedov, F. M. (with Rozikov, U. A.) On the von Neumann algebra correspondingto one phase of the inhomogeneous Potts model on a Cayley tree. (Russian. Russiansummary) 2003a:82014

Mund, Jens The Bisognano-Wichmann theorem for massive theories. (English summary)2003c:81112

Narnhofer, Heide (with Thirring, Walter) Problems with the filling factor in the quantumHall effect. (English summary) 2003b:81083

Naudts, Jan (with Kuna, Maciej) Covariance systems. (English summary) 2003b:46075

Covariance approach to quantum theory. (English summary) 2003g:81091Ohya, Masanori see Belavkin, VyacheslavP., 2003k:81011Ojima, Izumi see Buchholz, Detlev et al., 2003d:81159Olkiewicz, R. see Ługiewicz, P., 2003k:81091Pellonpaa, Juha-Pekka On the structure of covariant phase observables. (English

summary) 2003d:81144Petkova, Valentina (with Zuber, Jean-Bernard) The many faces of Ocneanu cells. (English

summary) 2003a:81068Petz, Denes Monotonicity of quantum relative entropy revisited. (English summary)

2003m:82007Piacitelli, Gherardo see Doplicher, Sergio, 2003g:81118Pillet, C.-A. see Jaksic, Vojkan, 2003a:82049 and 2003i:82053Podsedkowska, H. A linear theory of instruments on von Neumann algebras. 2003c:81088

Proskurin, Daniil P. Stability of a special class of qij-CCR and extensions of higher-dimensional noncommutative tori. (English summary) 2003a:46099

(with Samoılenko, Yuriı S.) Stability of the C ∗-algebra associated with twisted CCR.(English summary) 2003i:46059

Purice, Radu see Mantoiu,Marius, 2003m:81105

Rebolledo, Rolando Complete positivity and open quantum systems. (English summary)(see 2003f:60009)see also Fagnola,Franco

Richter, Thomas see Kellendonk,Johannes et al., 2003a:81080Roberts, John E. see Guido, Daniele et al., 2003b:81112Roos, Hansjorg see Buchholz, Detlev et al., 2003d:81159Rozikov, U. A. seeMukhamedov, F. M., 2003a:82014Russo, Bernard see Friedman, Yaakov, 2003a:81083Saito, Kazuyuki (with Wright, John DavidMaitland) Monotone completions of the

fermion algebra. (English summary) 2003i:46061Samoılenko, Yuriı S. see Proskurin, Daniil P., 2003i:46059Schroer, Bert Space- and time-like superselection rules in conformal quantum field theory.


see also Fassarella, Lucio, 2003i:81134Schulz-Baldes,Hermann see Kellendonk, Johannes et al., 2003a:81080Skeide, Michael see Liebscher, Volkmar, 2003b:81082Solel, Baruch see Muhly, Paul S., 2003j:46100Song, Xing-Chang see Dai, Jian1, 2003b:81094Thirring, Walter see Narnhofer, Heide, 2003b:81083Trapani, Camillo CQ∗-algebras of operators and application to quantum models. (see

2003g:00024)see also Bagarello, Fabio, 2003d:47099

Tuyls, P. see Fannes,Mark, 2003c:46078Verch, Rainer A spin-statistics theorem for quantum fields on curved spacetime manifolds

in a generally covariant framework. (English summary) 2003b:81142see also Guido, Daniele et al., 2003b:81112

Wright, John David Maitland see Saito, Kazuyuki, 2003i:46061Zuber, Jean-Bernard see Petkova, Valentina, 2003a:81068

46L65 Quantizations, deformations

Bedos, Erik (with Murphy, Gerard J.; Tuset, Lars) Amenability and coamenability ofalgebraic quantum groups. (English summary) 2003j:46107


Hong, Jeong Hee (with Szymanski, Wojciech) Quantum spheres and projective spaces asgraph algebras. (English summary) 2003i:46080

Jorgensen, Palle E. T. (with Proskurin, Daniil P.; Samoılenko, Yuriı S.) A family of ∗-algebras allowing Wick ordering: Fock representations and universal enveloping C ∗-algebras. (English summary) 2003c:46080

Murphy, Gerard J. see Bedos, Erik et al., 2003j:46107Proskurin, Daniil P. see Jorgensen, Palle E. T. et al., 2003c:46080Pusz, W. Quantum GL(2,C) group as double group over “az + b” quantum group.


Samoılenko,Yuriı S. see Jorgensen, Palle E. T. et al., 2003c:46080Szymanski,Wojciech see Hong, Jeong Hee, 2003i:46080Tuset, Lars see Bedos, Erik et al., 2003j:46107


Baumgartel, Hellmut (with Jurke, Matthias; Lledo, Fernando) Twisted duality of theCAR-algebra. (English summary) 2003d:46067

Fradkin, Eduardo (with Jejjala, Vishnu; Leigh, Robert G.) Non-commutative Chern-Simons for the quantum Hall system and duality. (English summary) 2003k:81266

Izumi, Masaki Non-commutative Poisson boundaries and compact quantum groupactions. (English summary) 2003j:46105

Jejjala, Vishnu see Fradkin, Eduardo et al., 2003k:81266Jurke, Matthias see Baumgartel, Hellmut et al., 2003d:46067Kustermans, Johan (with Murphy, Gerard J.; Tuset, Lars) Differential calculi over

quantum groups and twisted cyclic cocycles. (English summary)Landstad,MagnusB. Traces on noncommutative homogeneous spaces. (English summary)

2003m:46105

Leigh, Robert G. see Fradkin, Eduardo et al., 2003k:81266Lledo, Fernando see Baumgartel, Hellmut et al., 2003d:46067Murphy, Gerard J. see Kustermans, Johan et al.Natsume, Toshikazu C ∗-algebraic deformation and index theory. (English summary)

2003b:58036

Nessonov, N. I. Complete classification of admissible representations of infinite-dimensional classical matrix groups. II. (Russian. English, Russian and Ukrainian sum-maries) 2003j:22027

Proskurin, Daniil P. (with Turowska, Lyudmila B.) On the C ∗-algebra associated withPol(Mat2,2)q . (English summary) 2003d:20061

Shim, Jae-Kwan A negative answer to a Rieffel’s question on the behavior of K -groupsunder strict deformation quantization. (English summary) 2003m:53159


Turowska, Lyudmila B. see Proskurin, Daniil P., 2003d:20061Tuset, Lars see Kustermans, Johan et al.

Waldmann, Stefan On the representation theory of deformation quantization. (Englishsummary) 2003g:53162

Morita equivalence of Fedosov star products and deformed Hermitian vector bundles.(English summary) 2003g:53163

Woronowicz,S. L. (with Zakrzewski, Stanisław) Quantum ‘ax + b ’ group. (Englishsummary) 2003h:46106

Zakrzewski, Stanisław see Woronowicz,S. L., 2003h:46106

46L70 Nonassociative selfadjoint operator algebras[see also 46H70, 46K70]

Al-Jebreen,H. see Jamjoom, F. B. H., 2003d:46096Bunce, Leslie J. (with Peralta, Antonio M.) Images of contractiveprojections on operator

algebras. (English summary) 2003j:46108(with Sheppard, B.) Weak limits of the extreme dual ball in JB∗-triples. (Englishsummary) 2003f:46112

Dadakhodzhaev, R. A. see Rakhimov, Abdugafur et al., 2003i:46081Hamhalter, Jan Multiplicativity of extremal positivemaps on abelian parts of operator

algebras. (English summary) 2003j:46109Jamjoom, F. B. H. (with Al-Jebreen,H.) On the spectrum of the tensor products of JC-

algebras. (English summary) 2003d:46096

Katz, Alexander see Rakhimov, Abdugafur et al., 2003i:46081Peralta, AntonioM. see Bunce, Leslie J., 2003j:46108Rakhimov, Abdugafur (with Katz, Alexander; Dadakhodzhaev, R. A.) The ideal of

compact operators in real factors of types I and II. (Russian. Russian summary)2003i:46081

Sheppard,B. see Bunce, Leslie J., 2003f:46112



Neal, Matthew Spectrum preserving linear maps on JBW∗-triples. (English summary)2003j:47047

RodrıguezPalacios, Angel see Becerra Guerrero, Julio, 2003i:46022

46L80 K -theory and operator algebras (including cyclic theory)[see also 18F25, 19Kxx, 46M20, 55Rxx, 58J22]

Drinen, D. (with Tomforde, Mark) ComputingK -theory and Ext for graph C ∗-algebras.(English summary) 2003k:46103

Lin, Hua Xin Stable approximate unitary equivalence of homomorphisms. (Englishsummary) 2003c:46082

Macho Stadler, Marta (with O’uchi, Moto) Correspondences and groupoids. (Englishsummary) (see 2003e:00033)

O’uchi,Moto see Macho Stadler,Marta, (2003e:00033)Pierrot, Francois La K -theorie de la C ∗-algebre pleine de SL3(C). (English summary) [K -

theory of the full C ∗-algebra of SL3(C)] 2003i:46082

Reich, Holger On the K - and L-theory of the algebra of operators affiliated to a finite vonNeumann algebra. (English summary) 2003m:46103

Roe, John Comparing analytic assembly maps. 2003c:46083

Tomforde, Mark The ordered K0-group of a graph C ∗-algebra. (English and Frenchsummaries) 2003m:46104

see also Drinen, D., 2003k:46103Xue, Yi-Feng The K -groups of C (M )×< Zp for certain pairs (M, <). (English summary)

2003a:46098

Zsak, Andras A Banach space whose operator algebra has K0-group Q. 2003c:46084


Benameur, Moulay-Tahar Cyclic cohomology and the family Lefschetz theorem. (Englishsummary) 2003g:58033

Brodzki, Jacek (with Plymen, Roger) Chern character for the Schwartz algebra of p-adicGL(n). (English summary) 2003i:19003

(Chatterji, Indira) see Valette, Alain, 2003f:58047Chen, Xiaoman (with Wang, Qin2) Localization algebras and duality. (English summary)

2003e:58032Cuntz, J. Noncommutative simplicial complexes and the Baum-Connes conjecture.

(English summary) 2003f:58045Dadarlat, Marius (with Eilers, Søren) On the classification of nuclear C ∗-algebras.

2003d:19006Deundyak, V. M. see Vinogradova, G. Yu., 2003k:47075Ehrhardt, Torsten (with Rabanovich, V. I.; Samoılenko, Yuriı S.; Silbermann, Bernd)

On the decomposition of the identity into a sum of idempotents. (English summary)2003d:47092

Eilers, Søren Approximate homogeneity of C ∗-algebraswith finitely many ideals. (Englishsummary) 2003g:46066see also Dadarlat,Marius, 2003d:19006

Farsi, Carla (with Watling, Neil) C ∗-algebras of dynamical systems of quasi rotations ontori. (English summary) 2003a:46094

Soft C ∗-algebras. (English summary) 2003d:46089

Forrest, A. H. (with Hunton, John Robert; Kellendonk, Johannes) Cohomology ofcanonical projection tilings. (English summary) 2003m:37022

Guo, Kunyu (with Zheng, Dechao) Toeplitz algebra and Hankel algebra on the harmonicBergman space. (English summary) 2003i:47028

Higson, N. (with Lafforgue, Vincent; Skandalis, Georges) Counterexamples to the Baum-Connes conjecture. 2003g:19007

Hunton, John Robert see Forrest, A. H. et al., 2003m:37022

Inassaridze, Hvedri (with Kandelaki, Tamaz) K -theory of stable generalized operatoralgebras. (English summary) 2003k:19001

Isidro, Jose Marıa2 Twisted K -theory in g > 1 from D-branes. (English summary)2003k:58043

Izumi, Masaki Inclusions of simple C ∗-algebras. (English summary) 2003b:46072Julg, Pierre La conjecture de Baum-Connes a coefficients pour le groupe Sp(n, 1). (English

and French summaries) [The Baum-Connes conjecture with coefficients for the groupSp(n, 1)] 2003d:19007

Kandelaki, Tamaz see Inassaridze,Hvedri, 2003k:19001Katsura, Takeshi A summary of the works “A class of C ∗-algebras generalizing both graph

algebras and homeomorphism C ∗-algebras”.Kellendonk, Johannes see Forrest, A. H. et al., 2003m:37022

Kimberley, Jason S. (with Robertson, A. Guyan) Groups acting on products of trees, tilingsystems and analyticK -theory. (English summary) 2003j:20042


Kumjian, A. see Kishimoto, Akitaka, 2003d:46081Kustermans, Johan (with Rognes, John; Tuset, Lars) The Connes-Moscovici approach to

cyclic cohomology for compact quantum groups. (English summary) 2003h:19003

Lafforgue, Vincent Banach KK -theory and the Baum-Connes conjecture. (Englishsummary) 2003j:19003

Banach KK -theory and the Baum-Connes conjecture. (English summary) 2003k:19006K -theorie bivariante pour les algebres de Banach et conjecture de Baum-Connes.[BivariantK -theory for Banach algebras and the Baum-Connes conjecture] 2003d:19008see also Higson, N. et al., 2003g:19007

Li, Liangqing Classification of simple C ∗-algebras: inductive limits of matrix algebras overone-dimensional spaces. (English summary) 2003h:46079

Lin, Hua Xin Simple C ∗-algebras with unique tracial states and quantized topologicalspaces. (English summary) 2003f:46085

Luck, Wolfgang L2-invariants: theory and applications to geometry and K -theory.2003m:58033

Macho Stadler, Marta The Baum-Connes conjecture in the theory of foliations. (Spanish)2003m:19006

Martinez, Diane (with Trout, Jody) Asymptotic spectral measures, quantum mechanics,and E-theory. (English summary) 2003d:58042

Matthey, Michel (with Oyono-Oyono, Herve) AlgebraicK -theory in low degree and theNovikov assembly map. (English summary) 2003d:19002

Mbekhta, Mostafa (with Stratila, Serban) Homotopy classes of partial isometries in vonNeumann algebras. (English summary) 2003f:46097

(Mislin, Guido) see Valette, Alain, 2003f:58047Mitchener, Paul D. KK -theory of C ∗-categories and the analytic assembly map. (English


Ormes, Nicholas (with Radin, Charles; Sadun, Lorenzo) A homeomorphism invariant forsubstitution tiling spaces. (English summary) 2003h:37018

Oyono-Oyono,Herve see Matthey,Michel, 2003d:19002Park, Chun-Gil The bundle structure of spherical non-commutative tori. (English



Pierrot, Francois K -theorie et multiplicites dans L2(G/Γ). (English and French summaries)[K -theory and multiplicities in L2(G/Γ)] 2003k:58035


Plymen, Roger see Brodzki, Jacek, 2003i:19003Puschnigg,Michael The Kadison-Kaplansky conjecture for word-hyperbolic groups.

2003i:22009

Rabanovich, V. I. see Ehrhardt, Torsten et al., 2003d:47092Radin, Charles see Ormes, Nicholas et al., 2003h:37018Raeburn, Iain (with Thompson, Shaun J.) Countably generated Hilbert modules, the

Kasparov stabilisation theorem, and frames with Hilbert modules. (English summary)2003j:46089

Razak, Shaloub On the classification of simple stably projectionless C ∗-algebras. (Englishsummary) 2003h:46091

Robertson,A. Guyan see Kimberley, Jason S., 2003j:20042Rognes, John see Kustermans, Johan et al., 2003h:19003Rørdam, Mikael Classification of nuclear, simple C ∗-algebras. 2003i:46060Sadun,Lorenzo see Ormes, Nicholas et al., 2003h:37018Samoılenko,Yuriı S. see Ehrhardt, Torsten et al., 2003d:47092Schochet,Claude L. The fine structure of the Kasparov groups. I. Continuity of the KK -

pairing. (English summary) 2003d:19009The fine structure of the Kasparov groups. II. Topologizing the UCT. (English summary)2003k:19007

Shim, Jae-Kwan A negative answer to a Rieffel’s question on the behavior of K -groupsunder strict deformation quantization. (English summary) 2003m:53159

Silbermann, Bernd see Ehrhardt, Torsten et al., 2003d:47092Skandalis,Georges (with Tu, Jean Louis; Yu, Guo Liang) The coarse Baum-Connes

conjecture and groupoids. (English summary) 2003c:58020

see also Higson, N. et al., 2003g:19007Stratila, Serban see Mbekhta,Mostafa, 2003f:46097Sudo, Takahiro Structure of group C ∗-algebras of semi-direct products of Cn by Z.

(English summary) 2003a:46082aStructure of group C ∗-algebras of the generalized disconnected Dixmier groups. (Englishsummary) 2003a:46082bStructure of group C ∗-algebras of the generalized disconnected Mautner groups.(English summary) 2003a:46082cRanks of direct products of C ∗-algebras. (English summary) 2003e:46102

Szymanski,Wojciech The range of K -invariants for C ∗-algebras of infinite graphs. (Englishsummary) 2003b:46077

On semiprojectivity of C ∗-algebras of directed graphs. (English summary) 2003a:46083Thompson, Shaun J. see Raeburn, Iain, 2003j:46089Troitskiı, E. V. “Twice” equivariantC ∗-index theorem and the index theorem for families.


Actions of compact groups on algebras, the C ∗-index theorem, and families.2003b:58037

Trout, Jody see Martinez, Diane, 2003d:58042Tu, Jean Louis see Skandalis, Georges et al., 2003c:58020Tuset, Lars see Kustermans, Johan et al., 2003h:19003Valette, Alain Introduction to the Baum-Connes conjecture. (English summary)

2003f:58047

Vinogradova,G. Yu. (with Deundyak, V. M.) On the index and homotopic classification offamilies of singular operators with a dihedral shift group and PC -coefficients. (Russian)2003k:47075

Walters, Samuel G. K -theory of non-commutative spheres arising from the Fourierautomorphism. (English summary) 2003b:19004

Wang,Qin2 see Chen, Xiaoman, 2003e:58032Watling, Neil see Farsi, Carla, 2003a:46094Wright, Nick C0 coarse geometry and scalar curvature. (English summary) 2003m:58034

Yu,Guo Liang see Skandalis, Georges et al., 2003c:58020Zheng, Dechao see Guo, Kunyu, 2003i:47028Zois, Ioannis P. Black hole entropy, topological entropy and the Baum-Connes conjecture

in K -theory. (English summary) 2003i:58037

46L85 Noncommutative topology [see also 58B32, 58B34, 58J22]



Akemann, Charles A. (with Eilers, Søren) Regularity of projections revisited. (Englishsummary) 2003k:46078

Connes, Alain (with Landi, Giovanni) Noncommutative manifolds, the instanton algebraand isospectral deformations. (English summary) 2003i:58014

Cuntz, J. Noncommutative simplicial complexes and the Baum-Connes conjecture.(English summary) 2003f:58045

Dabrowski, Ludwik (with Landi, Giovanni; Masuda, Tetsuya) Instantons on the quantum4-spheres S4

q . (English summary) 2003d:58014

Deaconu,V. (with Kumjian, A.; Muhly, Paul S.) Cohomology of topological graphs andCuntz-Pimsner algebras. (English summary) 2003a:46093

Eilers, Søren see Akemann, Charles A., 2003k:46078Higson, N. (with Lafforgue, Vincent; Skandalis, Georges) Counterexamples to the Baum-

Connes conjecture. 2003g:19007

Kumjian, A. see Deaconu, V. et al., 2003a:46093Lafforgue, Vincent see Higson, N. et al., 2003g:19007Landi, Giovanni see Dabrowski, Ludwik et al., 2003d:58014and Connes, Alain, 2003i:58014Luck, Wolfgang The relation between the Baum-Connes conjecture and the trace

conjecture. (English summary) 2003f:19005

Masuda, Tetsuya seeDabrowski, Ludwik et al., 2003d:58014Muhly, Paul S. see Deaconu, V. et al., 2003a:46093Skandalis,Georges (with Tu, Jean Louis; Yu, Guo Liang) The coarse Baum-Connes

conjecture and groupoids. (English summary) 2003c:58020

see also Higson, N. et al., 2003g:19007Tu, Jean Louis see Skandalis, Georges et al., 2003c:58020Yu,Guo Liang see Skandalis, Georges et al., 2003c:58020

46L87 Noncommutative differential geometry [see also 58B32,58B34, 58J22]

Astashkevich, Alexander (with Schwarz, Albert) Projectivemodules over non-commutativetori: classification of modules with constant curvature connection. (English summary)2003d:46097

Brodzki, Jacek (with Plymen, Roger) Complex structure on the smooth dual of GL(n).(English summary) 2003i:46083

Gibilisco, Paolo (with Isola, Tommaso) Connections on statistical manifolds of densityoperators by geometry of noncommutativeLp-spaces. (English summary) 2003c:46085

Guido, Daniele (with Isola, Tommaso) On the domain of singular traces. (Englishsummary) 2003h:46104

Gurrola Perez, Pedro K -theory and noncommutative geometry. (Spanish. Spanishsummary) 2003i:46084

Isola, Tommaso see Gibilisco, Paolo, 2003c:46085and Guido, Daniele, 2003h:46104Jeong, Hyeong-Chai (with Kim, Eunsang; Lee, Chang-Yeong) Noncommutative torus

from Fibonacci chains via foliation. (English summary) 2003b:46084

Kabluchko, Zakhar A. On the extension of higher-dimensional noncommutative tori.(English summary) 2003d:46098

Kim, Eunsang see Jeong,Hyeong-Chai et al., 2003b:46084Landstad, MagnusB. Traces on noncommutative homogeneous spaces. (English summary)

2003m:46105

Lee, Chang-Yeong see Jeong,Hyeong-Chai et al., 2003b:46084Park, Chun-Gil The bundle structure of spherical non-commutative tori. (English


Generalized simple noncommutative tori. (English summary) 2003j:46111Generalized non-commutative tori. (English summary) 2003e:46116

Plymen, Roger see Brodzki, Jacek, 2003i:46083Schwarz, Albert see Astashkevich,Alexander, 2003d:46097Semwogerere, F. J. Classifying the discrete representations of the Bratteli non-commutative

spheres. (English summary) 2003a:46100



Benameur, Moulay-Tahar (with Nistor, Victor) Homology of complete symbols andnoncommutative geometry. (English summary) 2003i:58049

Boca, Florin-Petre Rotation C ∗-algebras and almost Mathieu operators. (Englishsummary) 2003e:47063

Celik, Salih Z3-graded differential geometry of the quantum plane. (English summary)2003g:58005

(Chatterji, Indira) see Valette, Alain, 2003f:58047Chiosa, Iurie see Vacaru, Sergiu I. et al., 2003e:83047Connes, Alain A lecture on noncommutative geometry. (English summary) 2003b:58009

Noncommutative geometry—year 2000. (English summary) 2003g:58010

Dai, Jian1 (with Song, Xing-Chang) Connes’ distance of one-dimensional lattices: generalcases. (English summary) 2003b:81094

(with Song, Xing-Chang; Xiong, Chuan-Sheng) Canonical differential calculi forfinitely generated abelian groups and their fermionic representations. (English summary)2003g:58006

Frohman, Charles (with Gelca, Razvan; Lofaro, Walter) The A-polynomial from thenoncommutative viewpoint. (English summary) 2003a:57020

Gelca, Razvan see Frohman, Charles et al., 2003a:57020Gorokhovsky, Alexander Secondary characteristic classes and cyclic cohomology of Hopf


Grosse, Harald (with Rupp, Christian W.; Strohmaier, Alexander) Fuzzy line bundles,the Chern character and topological charges over the fuzzy sphere. (English summary)2003f:58015

Heckenberger, Istvan (with Schuler, Axel) Laplace operator and Hodge decomposition forquantum groups and quantum spaces. (English summary) 2003f:58012

(with Schuler, Axel) De Rham cohomology and Hodge decomposition for quantumgroups. 2003b:58008

Hilsum, Michel Hilbert modules of foliated manifolds with boundary. (English summary)2003j:58033

Julg, Pierre La conjecture de Baum-Connes a coefficients pour le groupe Sp(n, 1). (Englishand French summaries) [The Baum-Connes conjecture with coefficients for the groupSp(n, 1)] 2003d:19007

Kellendonk, Johannes (with Richter, Thomas; Schulz-Baldes, Hermann) Edge currentchannels and Chern numbers in the integer quantum Hall effect. (English summary)2003a:81080

Kolb, Stefan Differential calculus on q-deformedGrassmann manifolds. (Englishsummary) 2003f:58013

Konechny, Anatoly (with Schwarz, Albert) Introduction to M(atrix) theory and noncom-mutative geometry. (English summary) 2003h:81236

Kustermans, Johan (with Murphy, Gerard J.; Tuset, Lars) Differential calculi overquantum groups and twisted cyclic cocycles. (English summary)

Landi, Giovanni (with Madore, John) Twisted configurations over quantum Euclideanspheres. (English summary) 2003j:58010

Lofaro, Walter see Frohman, Charles et al., 2003a:57020Madore, John see Landi, Giovanni, 2003j:58010Matthes, Rainer (with Richter, Olaf; Rudolph, Gerd) Spectral triples for the Kronecker

foliation. (English summary) 2003g:58041

(Mislin, Guido) see Valette, Alain, 2003f:58047Moerdijk, Ieke (with Mrcun, Janez) On integrability of infinitesimal actions. (English


Moriyoshi, Hitoshi Operator algebras and the index theorem on foliated manifolds.2003a:58032

Moslehian,Mohammad Sal Vector space structure on Finsler modules over C ∗-algebras.(English summary) 2003d:46071

Mrcun, Janez see Moerdijk, Ieke, 2003f:58037

46M Methods of category theory in functional analysis1237 2003 46M05

Murphy, Gerard J. see Kustermans, Johan et al.

Nistor, Victor see Benameur, Moulay-Tahar,2003i:58049Pusz, W. Quantum GL(2,C) group as double group over “az + b” quantum group.


Richter, Olaf see Matthes, Rainer et al., 2003g:58041Richter, Thomas see Kellendonk,Johannes et al., 2003a:81080Rudolph, Gerd see Matthes, Rainer et al., 2003g:58041Rupp, ChristianW. see Grosse, Harald et al., 2003f:58015Schmudgen,Konrad Commutator representations of covariant differential calculi on

quantum groups. (English summary) 2003d:58013

Schuler, Axel see Heckenberger, Istvan, 2003b:58008 and 2003f:58012

Schulz-Baldes,Hermann see Kellendonk, Johannes et al., 2003a:81080Schwarz, Albert see Konechny,Anatoly, 2003h:81236Sitarz, Andrzej On deformedMoebius band. 2003a:58010Skandalis,Georges Progres recents sur la conjecture de Baum-Connes. Contribution de

Vincent Lafforgue. [Recent progress on the Baum-Connes conjecture: the contributionof Vincent Lafforgue] 2003h:19007

Song, Xing-Chang see Dai, Jian1 et al., 2003b:81094 and 2003g:58006

Strohmaier, Alexander see Grosse, Harald et al., 2003f:58015Troitskiı, E. V. Actions of compact groups on algebras, the C ∗-index theorem, and

families. 2003b:58037

Tuset, Lars see Kustermans, Johan et al.Vacaru, Sergiu I. (with Chiosa, Iurie; Vicol, Nadejda) Locally anisotropic supergravity and

gauge gravity on noncommutative spaces. (English summary) 2003e:83047

Valette, Alain Introduction to the Baum-Connes conjecture. (English summary)2003f:58047

Vicol, Nadejda see Vacaru, Sergiu I. et al., 2003e:83047Walters, Samuel G. K -theory of non-commutative spheres arising from the Fourier

automorphism. (English summary) 2003b:19004

Wysoczanski, Janusz A construction of compact matrix quantum groups and descriptionof the relatedC ∗-algebras. (English summary) (see 2003a:00027)

Xiong, Chuan-Sheng see Dai, Jian1 et al., 2003g:58006Zinno,MatthewG. A Temperley-Lieb basis coming from the braid group. (English


46L89 Other “noncommutative” mathematics based on C ∗-algebra theory [see also 58B32, 58B34, 58J22]

Hadwin, Don A noncommutativemoment problem. (English summary) 2003a:46101

Ng, Chi-Keung An example of amenable Kac systems. (English summary) 2003e:46117

Pinzari, Claudia (with Roberts, John E.) Regular objects, multiplicative unitaries andconjugation. (English summary) 2003h:46105

Resende, Pedro Tropological systems are points of quantales. (English summary)2003f:46113

Roberts, John E. see Pinzari, Claudia, 2003h:46105Woronowicz,S. L. (with Zakrzewski, Stanisław) Quantum ‘ax + b ’ group. (English


Zakrzewski, Stanisław see Woronowicz,S. L., 2003h:46106


Isidro, Jose Marıa1 (with Mackey, Michael T.) The manifold of finite rank projections inthe algebraL (H ) of bounded linear operators. (English summary) 2003b:58007

Kustermans, Johan The analytic structure of algebraic quantum groups. (English summary)2003k:16054

Macho Stadler, Marta (with O’uchi, Moto) Correspondences and groupoids. (Englishsummary) (see 2003e:00033)

Mackey, Michael T. see Isidro, Jose Marıa1, 2003b:58007Mineyev, Igor (with Yu, Guo Liang) The Baum-Connes conjecture for hyperbolic groups.


O’uchi,Moto see Macho Stadler,Marta, (2003e:00033)Park, Yong Moon Dirichlet forms and symmetric Markovian semigroups on von Neumann


Petkova, Valentina (with Zuber, Jean-Bernard) The many faces of Ocneanu cells. (Englishsummary) 2003a:81068


Rabinovich,Vladimir S. (with Schulze, Bert-Wolfgang; Tarkhanov, Nikolai) C ∗-algebrasof singular integral operators in domains with oscillating conical singularities. (Englishsummary) 2003d:47101

Schulze,Bert-Wolfgang see Rabinovich,Vladimir S. et al., 2003d:47101Tarkhanov, Nikolai see Rabinovich, Vladimir S. et al., 2003d:47101Tokarev, A. G. A noncommutative analogue of Berezin’s formula. (Russian. Russian

summary) 2003e:81087Uchiyama,Mitsuru Non-commutativeKorovkin-type theorems. (see 2003a:41001)Voiculescu,Dan Cyclomorphy. 2003a:46092

Yu,Guo Liang seeMineyev, Igor, 2003f:20072Zuber, Jean-Bernard see Petkova, Valentina, 2003a:81068

46L99 None of the above, but in this section

Buneci, Madalina C ∗-algebras associated to the transitive groupoids. (English summary)2003b:46085


Arveson, William The Dirac operator of a commuting d -tuple. (English summary)2003a:47014

Barbieri, Giuseppina (with Weber, Hans1) Measures on clans and on MV-algebras.(English summary) 2003k:28021

Bhattacharyya, Tirthankar Dilation of contractive tuples: a survey. 2003k:47014

Bottcher, Albrecht (with Karlovich, Yu. I.; Spitkovsky, Ilya M.) Convolution operatorsand factorization of almost periodic matrix functions. (English summary) 2003c:47047

Bratteli, Ola (with Jorgensen, Palle E. T.) Wavelet filters and infinite-dimensional unitarygroups. (English summary) 2003e:94015

Cao, Guang Fu Toeplitz operators and algebras on Dirichlet spaces. (English summary)2003f:47043

Ceccherini-Silberstein,Tullio G. Around amenability. 2003d:43003Constantinescu, Tiberiu (with Johnson, J. L.) Tensor algebras and displacement structure.

II. Non-commutativeSzego polynomials. (English summary) 2003k:15036

Crabb, M. J. (with Duncan, John; McGregor, C. M.) The extremal algebra on twoHermitians with square 1. (English summary) 2003e:47008

Duncan, John see Crabb, M. J. et al., 2003e:47008Fannes, Mark (with Petz, Denes) On the function Tr eH+itK . (English summary)

2003b:47033

Han, De Guang Interpolation operators associated with sub-frame sets. (English summary)2003m:42053

Hu, Zhiguo Inductive extreme non-Arens regularity of the Fourier algebra A(G). (Englishsummary) 2003f:46069

Johnson, J. L. see Constantinescu, Tiberiu, 2003k:15036Jorgensen, Palle E. T. see Bratteli, Ola, 2003e:94015Karlovich, Yu. I. see Bottcher, Albrecht et al., 2003c:47047Kribs, David W. The curvature invariant of a non-commuting n-tuple. (English summary)

2003b:47013

Lauter, Robert (with Monthubert, Bertrand; Nistor, Victor) Invariance spectrale desalgebres d’operateurs pseudodifferentiels. (English and French summaries) [Spectralinvariance of algebras of pseudodifferential operators] 2003g:47129

Malyshev, Vadim A. Quantum evolution of words. (English summary) 2003d:68147

McGregor, C. M. see Crabb, M. J. et al., 2003e:47008Monthubert,Bertrand see Lauter, Robert et al., 2003g:47129Nicola, Fabio Trace functionals for a class of pseudo-differential operators in Rn. (English


Nistor, Victor see Lauter, Robert et al., 2003g:47129Packer, Judith A. (with Rieffel, Marc A.) Wavelet filter functions, the matrix completion

problem, and projectivemodules over C (Tn). (English summary) 2003m:42063

Park, Chun-Gil Modified Trif ’s functional equations in Banach modules over a C ∗-algebraand approximate algebra homomorphisms. (English summary) 2003k:39039

Paseka, Jan (with Rosicky, Jirı) Quantales. 2003d:46095

Petz, Denes see Fannes,Mark, 2003b:47033Popescu, Gelu Commutant lifting, tensor algebras, and functional calculus. (English


Rabinovich, Vladimir S. An abstract scheme of the method of limit operators and some ofits applications. (Russian) 2003a:47026

Rieffel, Marc A. see Packer, Judith A., 2003m:42063

Rodot, Olivier On a class of anisotropic asymptotically periodic Hamiltonians. (Englishand French summaries) 2003b:47080

Rosicky, Jirı see Paseka, Jan, 2003d:46095Spitkovsky, Ilya M. see Bottcher, Albrecht et al., 2003c:47047Talbi, Malik Inegalite de Haagerup, groupoıdes et immeubles euclidiens. (English

and French summaries) [Haagerup’s inequality, groupoids and Euclidean buildings]2003j:20053

Vallin, Jean-Michel Groupoıdes quantiques finis. (English summary) [Finite quantumgroupoids] 2003e:16054

Weber, Hans1 see Barbieri, Giuseppina, 2003k:28021Xu, Qingxiang Diagonal invariant ideals of Toeplitz algebras on discrete groups. (English


46Mxx Methods of category theory in functional analysis[see also 18–XX]

46M05 Tensor products [see also 46A32, 46B28, 47A80]


Diestel, Joe (with Fourie, Jan H.; Swart, Johan1) The metric theory of tensor products(Grothendieck’s resume revisited). I. Tensor norms. (English summary) 2003j:46112a

(with Fourie, Jan H.; Swart, Johan1) The metric theory of tensor products (Grothen-dieck’s resume revisited). II. Bilinear forms and linear operators of type α. (English sum-mary) 2003j:46112b

(with Fourie, Jan H.; Swart, Johan1) The metric theory of tensor products (Grothen-dieck’s resume revisited). III. Vector sequence spaces. (English summary) 2003j:46112c

(with Fourie, Jan H.; Swart, Johan1) The metric theory of tensor products (Grothen-dieck’s resume revisited). IV. The role of C (K)-spaces and L1-spaces. (English summary)2003j:46112d

Fourie, Jan H. see Diestel, Joe et al., 2003j:46112a; 2003j:46112b; 2003j:46112cand2003j:46112d

Swart, Johan1 see Diestel, Joe et al., 2003j:46112a; 2003j:46112b; 2003j:46112c and2003j:46112d


Items with secondary classifications in 46M05

Anantharaman-Delaroche, Claire (with Pop, Ciprian) Relative tensor products and infiniteC ∗-algebras. (English summary) 2003b:46079

Archoun, M. (with Ouakkasse, N.; Raıssouli, Mustapha) Decomposition en produittensoriel inductif de quelques espaces fonctionnels. (English summary) [Inductive tensorproduct decomposition of some functional spaces] 2003e:46032

Bator, Elizabeth M. (with Slavens, Dawn R.) Applications of a decomposition in X ⊗ Y .(English summary) 2003a:46032

FUNCTIONAL ANALYSIS46M05 2003 1238

Bu, Qing Ying Observations about the projective tensor product of Banach spaces. II.Lp(0, 1)⊗X, 1< p<∞. (English summary) 2003e:46025

(with Dowling, Patrick N.) Observations about the projective tensor product of Banachspaces. III. Lp[0, 1]⊗X, 1< p<∞. (English summary) 2003i:46016

Dowling, Patrick N. see Bu, Qing Ying, 2003i:46016Magajna,Bojan On completely bounded bimodule maps overW ∗-algebras. (English


Ouakkasse, N. see Archoun, M. et al., 2003e:46032Pop, Ciprian seeAnantharaman-Delaroche, Claire, 2003b:46079Raıssouli,Mustapha see Archoun, M. et al., 2003e:46032Ricard, Eric A tensor norm for Q-spaces. (English summary) 2003j:46084RodrıguezPalacios, Angel (with Velasco, M. V.) Continuity of homomorphisms and

derivations on normed algebraswhich are tensor products of algebraswith involution.(English summary) 2003j:46076

Slavens,Dawn R. see Bator, ElizabethM., 2003a:46032Velasco, M. V. see Rodrıguez Palacios, Angel, 2003j:46076

46M07 Ultraproducts [see also 46B08, 46S20]


Khamsi, M. A. (with Sims, Brailey) Ultra-methods in metric fixed point theory.2003f:46016

Raynaud,Yves On ultrapowers of non commutativeLp spaces. (English summary)2003i:46069

Sims, Brailey see Khamsi, M. A., 2003f:46016

46M10 Projective and injective objects [see also 46A22]


Blecher, David P. Multipliers and dual operator algebras. (English summary) 2003c:46075

Guo, Kunyu Extension theory of Hilbert modules over semigroups. (English summary)2003k:46070

Khelemskiı, A. Ya. see Polyakov, M. E., 2003d:46072Moslehian,Mohammad Sal (with Niknam, Assadollah) On contractibility of matrix

algebras. (English summary) 2003j:46069

Niknam, Assadollah see Moslehian, Mohammad Sal, 2003j:46069Polyakov,M. E. (with Khelemskiı, A. Ya.) Description of morphisms from a Hilbert

module over a C ∗-algebra into this algebra. (Russian. Russian summary) 2003d:46072

46M15 Categories, functors For K -theory, EXT, etc., see19K33, 46L80, 46M18, 46M20.

Hofmann, Dirk On a generalization of the Stone-Weierstrass theorem. (English summary)2003h:46107


Aqzzouz,Belmesnaoui The εC -product of a Schwartz b-space by a quotient Banach spaceand applications. (English summary) 2003m:46106


Dierolf, S. see Bonet, Jose et al., 2003e:46004Drinen, D. (with Tomforde, Mark) ComputingK -theory and Ext for graph C ∗-algebras.


Espanol, Luis (with Mınguez, M. Carmen) Cuts for l∞. (Spanish. English summary)2003c:18002

Inassaridze,Hvedri (with Kandelaki, Tamaz) K -theory of stable generalized operatoralgebras. (English summary) 2003k:19001

Kandelaki, Tamaz see Inassaridze,Hvedri, 2003k:19001Khoshkam,Mahmood (with Tavakoli, Javad) Categorical constructions in C ∗-algebra

theory. (English summary) 2003e:46099

Koptev,A. V. (with Robbins, D. A.) A note on the space of weakly continuous sections of aBanach bundle. (English summary) 2003h:46058

Mınguez,M. Carmen see Espanol, Luis, 2003c:18002Paseka, Jan Morita equivalence in the context of Hilbert modules. (English summary)

2003f:16007Pinzari, Claudia (with Roberts, John E.) Regular objects, multiplicative unitaries and

conjugation. (English summary) 2003h:46105Pirkovskii, A. Yu. Biprojective topological algebras of homological bidimension 1.

2003h:46071

Robbins,D. A. see Koptev, A. V., 2003h:46058Roberts, John E. see Pinzari, Claudia, 2003h:46105Scarlatescu-Murea,Silvia The category of bundles of locally C ∗-algebras. (English


Suciu, Elena Alina Projectivity in categories of Hilbert modules over function algebras.(English summary) 2003a:46072

Tavakoli, Javad see Khoshkam, Mahmood, 2003e:46099Tomforde, Mark see Drinen, D., 2003k:46103Wengenroth, Jochen see Bonet, Jose et al., 2003e:46004

46M18 Homological methods (exact sequences, right inverses,lifting, etc.)

Smirnov, E. I. Hausdorff spectra in functional analysis. 2003m:46107

(Tweddle, Ian) see Smirnov, E. I., 2003m:46107



Christensen, Erik1 Finite von Neumann algebra factors with property Γ. (Englishsummary) 2003h:46090

Ghahramani, F. (with Laali, J.) Amenability and topological centres of the second duals ofBanach algebras. (English summary) 2003c:46060

Laali, J. see Ghahramani, F., 2003c:46060Moslehian,Mohammad Sal On hereditary homological properties of Banach algebras.


Muhly, Paul S. Bundles over groupoids. (English summary) 2003a:46085Runde, Volker Banach space properties forcing a reflexive, amenable Banach algebra to be

trivial. (English summary) 2003c:46061

Wengenroth, Jochen A splitting theorem for subspaces and quotients of D ′. (Englishsummary) 2003e:46059

Zhong, Huai Jie A theorem for generalized extension of operators and some applications.(English summary) 2003m:46010

46M20 Methods of algebraic topology (cohomology, sheaf andbundle theory, etc.) [see also 14F05, 18Fxx, 19Kxx,32Cxx, 32Lxx, 46L80, 46M15, 46M18, 55Rxx]


Gutman, A. E. (with Koptev, A. V.) Dual Banach bundles. (see 2003f:46001)Koptev, A. V. see Gutman, A. E., (2003f:46001)Valdivia, Manuel Linear extension operators and applications. (Spanish) 2003e:46118


Beltita, Daniel (with Sabac, Mihai) Lie algebras of bounded operators. (Englishsummary) 2003b:47107


Burger, Marc (with Monod, Nicolas) Continuous bounded cohomology and applicationsto rigidity theory. 2003d:53065a

(with Iozzi, Alessandra) Boundary maps in bounded cohomology. Appendix to:“Continuous bounded cohomology and applications to rigidity theory” [Geom.Funct. Anal. 12 (2002), no. 2, 219–280;MR 2003d:53065a] by Burger and N. Monod.2003d:53065b

Chilin, V. I. see Ganiev, I. G.


Dupre, Maurice J. (with Glazebrook, James F.) Holomorphic framings for projections in aBanach algebra. (English summary) 2003j:46067

Echterhoff, Siegfried (with Williams, Dana P.) Locally inner actions on C0(X )-algebras.(English summary) 2003j:46104

Ferguson, Sarah H. Higher-order Hankel forms and cohomology groups. (Englishsummary) 2003c:47049

Ganiev, I. G. (with Chilin, V. I.) Measurable bundles of noncommutativeLp-spacesassociated with a center-valued trace [translation of Mat. Tr. 4 (2001), no. 2, 27–41;MR2002m:46093]. (English summary)

Glazebrook, James F. see Dupre, Maurice J., 2003j:46067Iozzi, Alessandra see Burger, Marc, 2003d:53065bKunakovskaya,O. V. Cohomology functors on the category=C r of Banach manifolds.


Kuz′min, Andrei Viktorovich Homological properties of the algebra C (X ) in non-Archimedean analysis. (Russian. English and Russian summaries) 2003b:46087

Lafforgue, Vincent Banach KK -theory and the Baum-Connes conjecture. (Englishsummary) 2003j:19003

Banach KK -theory and the Baum-Connes conjecture. (English summary) 2003k:19006K -theorie bivariante pour les algebres de Banach et conjecture de Baum-Connes.[BivariantK -theory for Banach algebras and the Baum-Connes conjecture] 2003d:19008

Misra, Gadadhar see Douglas, Ronald G. et al., 2003d:46058Monod, Nicolas see Burger, Marc, 2003d:53065aand 2003d:53065b

Montejano, Luis (with Shchepin, E. V.) Topological tomography in convexity. (Englishsummary) 2003e:57037

Patyi, Imre On a splitting problem. (English summary) 2003i:46041Polyakov, M. E. An example of a spatially non-flat von Neumann algebra. 2003a:46088


Sabac, Mihai see Beltita, Daniel, 2003b:47107Scarlatescu-Murea,Silvia The category of bundles of locally C ∗-algebras. (English


Shchepin, E. V. see Montejano,Luis, 2003e:57037Varughese, Cherian see Douglas, Ronald G. et al., 2003d:46058Williams, Dana P. see Echterhoff, Siegfried, 2003j:46104Zsak, Andras A Banach space whose operator algebra has K0-group Q. 2003c:46084

46M35 Abstract interpolation of topological vector spaces[see also 46B70]

Astashkin, S. V. On the exactK -monotonicity of Banach couples. (Russian) 2003j:46114

ExactK -monotonicity of a class of Banach couples. (Russian. Russian summary)2003d:46099

Baghdasarian, A. On one approach to the intersection problem of Peetre. (English andGeorgian summaries) 2003d:46100

Carro, Marıa J. (with Martın, Joaquim) Extrapolation theory for the real interpolationmethod. (English summary) 2003g:46082

Ceausu, Traian (with Cofan, Nicolae; Stan, Ilie) Interpolation of compact operators onBanach triples. (English summary) 2003c:46087

Cobos, Fernando (with Fernandez-Cabrera, Luz M.; Martınez Martınez, Anton; Pustylnik,Evgenii) Some interpolation results that are the exclusive property of compact operators.

46M Methods of category theory in functional analysis1239 2003 46M99


Cofan, Nicolae (with Gaspar, Dumitru; Stan, Ilie) Interpolation and operator ideals onBanach n-tuples. (English summary) 2003a:46102

see also Ceausu, Traian et al., 2003c:46087Cwikel, Michael (with Kalton, Nigel J.; Milman, Mario; Rochberg, Richard) A unified

theory of commutator estimates for a class of interpolation methods. (English summary)2003k:46104

Defant, Andreas (with Mastyło, Mieczysław;Michels, Carsten) Applications of summinginclusion maps to interpolation of operators. (English summary) 2003m:46108

Dmitrishin, M. I. Interpolation of spaces of ultrasmooth vectors of closed operators.(Ukrainian. English, Russian and Ukrainian summaries) 2003j:46115

Evans, William Desmond (with Opic, Bohumır; Pick, Lubos) Real interpolation withlogarithmic functors. (English summary) 2003k:46105

Fernandez-Cabrera,Luz M. Compact operators between real interpolation spaces. (Englishsummary) 2003f:46115

see also Cobos, Fernando et al., 2003f:46114Gaspar, Dumitru see Cofan, Nicolae et al., 2003a:46102Kaijser, Sten (with Sigstam, Kibret Negussie) A pseudo-metric structure on interpolation

functors. (English summary) 2003a:46103

(with Sunehag, Peter) Interpolation of subspaces and the unit problem. (Englishsummary) 2003k:46106

Kalton, Nigel J. see Cwikel, Michael et al., 2003k:46104Li, Wen Ming1 Interpolation spaces betweenH 1 and L∞ on spaces of homogeneous type.


Interpolation of operators between Hardy spaces on spaces of homogeneous type.(Chinese. English and Chinese summaries)

Lopez Molina, J. A. (with Puerta, M. E.; Rivera Ortun, Marıa Jose) On the structure ofultraproducts of real interpolation spaces. 2003f:46116

Martın, Joaquim see Carro, Marıa J., 2003g:46082MartınezMartınez, Anton see Cobos, Fernando et al., 2003f:46114Mastyło,Mieczysław see Defant, Andreas et al., 2003m:46108

Michels, Carsten see Defant, Andreas et al., 2003m:46108

Mihailov, Dobrinca (with Stan, Ilie) On Sparr and Fernandez’s interpolation methods ofBanach spaces. (English summary) 2003k:46107

Milman, Mario see Cwikel, Michael et al., 2003k:46104Opic, Bohumır see Evans, William Desmond et al., 2003k:46105Pick, Lubos see Evans, WilliamDesmond et al., 2003k:46105

Puerta, M. E. see Lopez Molina, J. A. et al., 2003f:46116Pustylnik, Evgenii seeCobos, Fernando et al., 2003f:46114Rivera Ortun, Marıa Jose see Lopez Molina, J. A. et al., 2003f:46116Rochberg,Richard see Cwikel, Michael et al., 2003k:46104Sagher, Y. (with Shvartsman, Pavel) An interpolation theorem with perturbed continuity.


Shvartsman, Pavel see Sagher, Y., 2003a:46104Sigstam, Kibret Negussie see Kaijser, Sten, 2003a:46103Stan, Ilie Minimal and maximal description for the real interpolation methods in the case

of quasi-Banach triples. (English summary) 2003k:46108

see also Cofan, Nicolae et al., 2003a:46102;Ceausu, Traian et al., 2003c:46087 andMihailov, Dobrinca, 2003k:46107

Sunehag,Peter see Kaijser, Sten, 2003k:46106


Akishev, G. A. On some theorems for the Price system. (Russian) 2003f:46040

Antonescu,Cristina Some interpolation results for the completely bounded operators.(English summary) 2003m:46025

Bagdasaryan, A. G. Interpolation and traces of functions from some spaces of Sobolev-Liouville type. (Russian. English and Russian summaries) 2003m:46046

Bastero, Jesus (with Milman, Mario; Ruiz Blasco, Francisco Jose) On the connectionbetween weighted norm inequalities, commutators and real interpolation. (Englishsummary) 2003c:46033

Carro, Marıa J. (with Martın, Joaquim) On embedding properties of some extrapolationspaces. (English summary) 2003i:46026

Castaneda,G. (with Lopez Molina, J. A.; Rivera Ortun, Marıa Jose) New tensor normsand operator ideals associated to interpolation spaces between sequence spaces. (Englishsummary) 2003f:46005

Chalendar, Isabelle (with Partington, Jonathan R.) Interpolation between Hardy spaces oncircular domains with applications to approximation. (English summary) 2003c:46034

Cobos, Fernando (with Pustylnik, Evgenii) On strictly singular and strictly cosingularembeddings between Banach lattices of functions. (English summary) 2003f:46032

Cordero-Erausquin,Dario Santalo’s inequality on Cn by complex interpolation. (Englishand French summaries) 2003f:32042

Cruz-Uribe, David (with Krbec, Miroslav) Localization and extrapolation in Orlicz-Lorentz spaces. (English summary) 2003j:46030

Curbera, Guillermo P. (with Ricker, Werner J.) Optimal domains for kernel operators viainterpolation. (English summary) 2003g:47045

Cwikel, Michael (with Kozlov, Inna) Interpolation of weightedL1 spaces—a new proof ofthe Sedaev-Semenov theorem. (English summary) 2003j:46031

Fan, Ming Commutators in real interpolation with quasi-power parameters. (Englishsummary) 2003c:46035

Garcıa-Cuerva, Jose (with Kazaryan, K. S.; Kolyada, V. I.) Paley type inequalities fororthogonal series with vector-valuedcoefficients. (English summary) 2003d:46047

Gheorghe, Liliana Gabriela Hankel operators in Schatten ideals. (English summary)2003a:47055

Gogatishvili,Amiran (with Sobukawa, Takuya) On the extrapolation estimates. (Englishsummary) 2003k:46030

Griepentrog, Jens A. (with Groger, K.; Kaiser, H.-Chr.; Rehberg, J.) Interpolationfor function spaces related to mixed boundary value problems. (English summary)2003b:46040

Groger, K. see Griepentrog, Jens A. et al., 2003b:46040

Kaijser, Sten Interpolation of Banach algebras and open sets. (English summary)2003d:46065

Kaiser, H.-Chr. see Griepentrog, Jens A. et al., 2003b:46040Kałamajska, Agnieszka On constants in the pointwise one-dimensional multiplicative

inequalities. (English summary) 2003m:46055


Kateb, Djalil On the boundedness of the mapping f → |f |, > 1 on Besov spaces.(English summary) 2003j:46048

Kazaryan, K. S. see Garcıa-Cuerva, Jose et al., 2003d:46047Kislyakov, S. V. On BMO-regular lattices of measurable functions. (Russian) 2003m:46043

Klimov, V. S. (with Panasenko, E. S.) Functional inequalities and relative capacities.(Russian. Russian summary) 2003g:46031

Kolyada,V. I. see Garcıa-Cuerva, Jose et al., 2003d:46047Kozlov, Inna see Cwikel, Michael, 2003j:46031Krbec, Miroslav see Cruz-Uribe, David, 2003j:46030Liu, Guan Ting The interpolation theorems of LBa

a (D) spaces. (Chinese. English andChinese summaries) 2003b:46029

Lopez Molina, J. A. see Castaneda,G. et al., 2003f:46005Lunardi, Alessandra On generators of noncommuting semigroups: sums, interpolation,

regularity. 2003k:47049

Martın, Joaquim see Carro, Marıa J., 2003i:46026Maz′ya, Vladimir G. (with Shaposhnikova, Tat′yana) Pointwise interpolation inequalities

for derivativeswith best constants. (Russian. Russian summary) 2003c:42020

Michels, Carsten On Gaussian-summing identity maps between Lorentz sequence spaces.(English summary) 2003k:47031

Λ(p)-sets and the limit order of operator ideals. (English summary) 2003d:47027

Mihailov, Dobrinca (with Stan, Ilie) Quasi-normed operator ideals on Banach spaces andinterpolation. (English summary) 2003d:47095

Milman, Mario see Bastero, Jesus et al., 2003c:46033Najafov, A. M. An interpolation theorem for Besov-Morrey spaces with dominating mixed

derivatives. (Russian. English and Azerbaijani summaries)Ovchinnikov, Vladimir I. (with Titenkov, A. S.) A criterion for the contiguity of quasicon-

cave functions. (Russian. Russian summary) 2003b:46039

Interpolation orbits in couples of Lp spaces. (English and French summaries)2003c:46042

Panasenko, E. S. see Klimov, V. S., 2003g:46031Partington, JonathanR. see Chalendar, Isabelle, 2003c:46034(Peetre, Jaak) see Correspondence:Peetre, Jaak, 2003j:46003Pustylnik, Evgenii Some extensions of optimal interpolation in spaces of Lorentz-Zygmund

type. (English summary) 2003e:46040

see also Cobos, Fernando, 2003f:46032Rehberg, J. see Griepentrog, Jens A. et al., 2003b:46040Ricker, Werner J. see Curbera, Guillermo P., 2003g:47045Rivera Ortun, Marıa Jose see Castaneda,G. et al., 2003f:46005Ruiz Blasco, Francisco Jose see Bastero, Jesus et al., 2003c:46033Sagher, Y. (with Shvartsman, Pavel) Rearrangement-function inequalities and interpola-

tion theory. (English summary) 2003k:46032

Shaposhnikova,Tat′yana see Maz′ya,Vladimir G., 2003c:42020Shvartsman, Pavel see Sagher, Y., 2003k:46032Sobukawa, Takuya see Gogatishvili, Amiran, 2003k:46030Stan, Ilie see Mihailov, Dobrinca, 2003d:47095Titenkov, A. S. see Ovchinnikov, Vladimir I., 2003b:46039Vakarchuk, S. B. On K -functionals and exact values of n-widths of some classes in the

spaces C (26) and L1(26). (Russian. Russian summary) 2003d:41026

Vertesi, P. On an interpolatory inequality of Erdos and Turan and its application. (Englishsummary) 2003b:46031

Winiarska, Teresa Extrapolation Banach spaces and abstract semilinear second orderdifferential equations. 2003m:34141

Yang, Da Chun1 Frame characterizationsof Besov and Triebel-Lizorkin spaces on spaces ofhomogeneous type and their applications. (English summary) 2003k:46042

Yu, Lin1 Interpolation between B-valued martingaleHardy and BMO spaces. (English andChinese summaries) 2003h:60061


Correspondence:

Peetre, Jaak On the development of interpolation—instead of a history three letters.(English summary) 2003j:46003

46M40 Inductive and projective limits [see also 46A13]



Sady, F. Projective limit of a sequence of Banach function algebras as a Frechet functionalgebra. (English summary) 2003b:46066

46M99 None of the above, but in this section


Andruchow, Esteban (with Varela, Alejandro) Homotopy of state orbits. (Englishsummary) 2003k:46089

Castillo, Jesus M. Fdez. (with Moreno Salguero, Yolanda) Konig-Witstock quasi-normson quasi-Banach spaces. 2003h:46005

Espanol, Luis (with Lamban Pardo, Laureano A.) On bornologies, locales and toposes ofM -sets. (English summary) 2003i:18003

Lamban Pardo, Laureano A. see Espanol, Luis, 2003i:18003Moreno Salguero,Yolanda see Castillo, Jesus M. Fdez., 2003h:46005

FUNCTIONAL ANALYSIS46M99 2003 1240

Nortemann, Stefan The Hahn-Banach theorem for partially ordered totally convex,positively convex and superconvexmodules. (English summary) 2003m:46009

Varela, Alejandro see Andruchow, Esteban, 2003k:46089

46Nxx Miscellaneous applications of functional analysis[see also 47Nxx]

Aubin, Jean-Pierre Applied functional analysis. (English summary) 2003b:46086

(Cornet, Bernard) see Aubin, Jean-Pierre, 2003b:46086(Labrousse, Carole) see Aubin, Jean-Pierre, 2003b:46086(Lasry, Jean-Michel) seeAubin, Jean-Pierre, 2003b:46086

Items with secondary classifications in 46Nxx

Griffel, D. H. Applied functional analysis. (English summary) 2003c:00002

46N10 Applications in optimization, convex analysis,mathematical programming, economics

Cristescu, Gabriela (with Lupsa, Liana) Non-connected convexities and applications.(English summary) 2003g:46083

Lupsa, Liana see Cristescu, Gabriela, 2003g:46083Park, Sehie Remarks on acyclic versions of generalized von Neumann and Nash

equilibrium theorems. (English summary) 2003d:46101

Ruiz Galan, Manuel (with Simons, Stephen) A new minimax theorem and a perturbedJames’s theorem. (English summary) 2003m:46109

Simons, Stephen see Ruiz Galan, Manuel, 2003m:46109Vesely, Libor (with Zajıcek, Ludek) On D.C. mappings and differences of convex

operators. 2003g:46084

Zajıcek, Ludek see Vesely, Libor, 2003g:46084

Items with secondary classifications in 46N10

Acerbi, Emilio (with Buttazzo, Giuseppe; Prinari, Francesca) The class of functionalswhich can be represented by a supremum. (English summary) 2003e:49034

Amemiya, Masato Convexity and minimization problems of fuzzy-valuedmaps. (Japanese)Bachir, Mohammed A non-convex analogue to Fenchel duality. (English summary)

2003e:49050

Bahya, A. O. see Isac, George, 2003e:90075Barbet, Luc Weak and strong continuity of the solutions of parametrized problems.

(English summary) (see 2003a:00031)Bednarczuk, Ewa M. A note on lower semicontinuity of minimal points. 2003h:49041Benoist, Joel (with Popovici, Nicolae) The structure of the efficient frontier of finite-

dimensional completely-shaded sets. (English summary) 2003c:90097

(with Daniilidis, Aris) Coincidence theorems for convex functions. (English summary)2003h:49028

Besada Morais, M. (with Garcıa Cutrın, Javier; Miras, Miguel Angel; Vazquez, Carmen)Existence of smooth utilities on Banach lattices. (English summary) 2003b:91035

Borwein, JonathanM. (with Vanderwerff, Jon D.) Convex functions of Legendre type ingeneral Banach spaces. (English summary) 2003g:46051

Bounkhel,Messaoud On arc-wise essentially smooth mappings between Banach spaces.(English summary) 2003e:49027

Buttazzo, Giuseppe see Acerbi, Emilio et al., 2003e:49034Carbone,Luciano (with De Arcangelis, Riccardo) Unbounded functionals in the

calculus of variations. (English summary) 2003e:49001

Castellani,Marco (with Uderzo, Amos) Dual representations for positively homogeneousfunctions: an application to constrained extremum problems. (English summary)2003i:90115

Chai, ZhengMeng Extensions of a solvability theorem for an inclusion equation andapplications of the weak tangent cones in normed linear spaces. (Chinese. English andChinese summaries) 2003m:49030

Chen, Guang Ya (with Wu, Yu Nan) An iterative approach for solving equilibriumproblems. (English summary)

Chentsov, Aleksandr Georgievich (with Morina, S. I.) Extensions and relaxations.(English summary) 2003m:49001

Colombo, Giovanni (with Goncharov, Vladimir V.) Continuous selections via geodesics.(English summary) 2003e:47088

Daniilidis, Aris see Benoist, Joel, 2003h:49028De Arcangelis, Riccardo see Carbone, Luciano, 2003e:49001Delbaen, Freddy (with Schachermayer,Walter) Applications to mathematical finance.


Deville, Robert (with Ghoussoub, Nassif) Perturbed minimization principles andapplications. (English summary) 2003b:49012

Ding, Xie Ping (with Xia, Fu Quan) A new class of completely generalized quasi-variational inclusions in Banach spaces. (English summary) 2003h:49010

Dinh Thé Lu. c see Huynh Van Ngai et al., 2003d:49025Fan, Yuan-ze see Teng, Yan Mei, 2003g:90086Follmer, Hans (with Schied, Alexander) Robust preferences and convexmeasures of risk.


(with Schied, Alexander) Convex measures of risk and trading constraints. (Englishsummary) 2003j:91067

Garcıa Cutrın, Javier see Besada Morais, M. et al., 2003b:91035Ghoussoub, Nassif see Deville, Robert, 2003b:49012Giles, J. R. (with Sciffer, Scott) Concerning differentiability properties of locally Lipschitz

functions. (English summary) 2003b:49011

Goncharov, Vladimir V. see Colombo,Giovanni, 2003e:47088Gretsky, N. E. (with Ostroy, J. M.; Zame,William R.) Subdifferentiability and the duality

gap. (English summary) 2003i:90111

Hauser, Raphael A. (with Kirchner, Nina P.) A historical note on the entropy principle ofMuller and Liu. (English summary) 2003d:80001

Hu, ChuanGan (with Ma, Li Xin) Optimization of vector-valued integral equations for aclass. (English summary) (see 2003g:00024)

Huang, Xue Xiang Stability results for Ekeland’s ε variational principle for set-valuedmappings. (English summary) 2003h:49043

Huynh Van Ngai (with Dinh Thé Lu. c; Thera, Michel) Extensions of Frechet ε-subdifferential calculus and applications. (English summary) 2003d:49025

Isac, George (with Bahya, A. O.) Full nuclear cones associated to a normal cone.Application to Pareto efficiency. (English summary) 2003e:90075

Izmailov, Alekseı Feridovich (with Solodov, M. V.) Superlinearly convergent algorithmsfor solving singular equations and smooth reformulations of complementarity problems.(English summary) 2003j:90062

Kirchner, Nina P. see Hauser, Raphael A., 2003d:80001Komuro, Naoto Generalized supremum in sequence spaces with order. (English summary)

2003a:46018

Vector operation on the family of the sets of upper bounds in ordered linear spaces.(English summary) 2003c:90101

La Torre, Davide (with Rocca, Matteo) Almost everywhere convex functions on Rn andweak derivatives. (English summary) 2003h:49025

Lemaire, Bernard (with Ould Ahmed Salem, C.; Revalski, Julian P.) Well-posedness byperturbations of variational problems. (English summary) 2003j:49040

Levin, Vladimir L. Semiconic duality in convex analysis. (Russian. Russian summary)2003f:90103The Monge-Kantorovich problems and stochastic preference relations. (Englishsummary) 2003b:91038

Li, Chong1 (with Wang, Xing Hua1; Zhang, Wen Hong) Convergence of Gauss-Newton’smethod for convex composite optimization. (Chinese. English summary) 2003m:90163

Lignola, M. Beatrice (with Morgan, Jacqueline) Existence for optimization problems withequilibrium constraints in reflexiveBanach spaces. 2003j:49012

Lukkassen, Dag (with Svanstedt, Nils) On Γ-convergence in anisotropic Orlicz-Sobolevspaces. (English summary) 2003c:49022

Ma, Li Xin see Hu, Chuan Gan, (2003g:00024)Martınez-Moreno, Juan see Quesada Teruel, Jose Marıa et al., 2003b:41025Mdzinarishvili, V. V. Новые функциональные методы и объекты в теории

аппроксимации, моделировании и оптимальном управлении. (Russian. English andRussian summaries) [New functional methods and objects in approximation theory,modeling, and optimal control] 2003b:93095

Miras, Miguel Angel see Besada Morais, M. et al., 2003b:91035Mirica, Stefan Quasitangent intersection property of regular tangent cones in Banach

spaces. (English summary) 2003a:49022

Morgan, Jacqueline see Lignola, M. Beatrice, 2003j:49012Morina, S. I. see Chentsov, Aleksandr Georgievich, 2003m:49001

Muresan, Marian Analiza neneteda si aplicatii. (Romanian) [Nonsmooth analysis andapplications] 2003c:49002

Naselli Ricceri, Ornella A class of functionals on a Banach space for which strong andweak local minima do coincide. (English summary) 2003d:49010

Nguyen Ba Minh (with Nguy˜en Xuan Tán) On the continuity of vector convexmultivaluedfunctions. (English summary) 2003d:49028

Nguy˜en Xuan Tán see Nguyen Ba Minh, 2003d:49028Noor, MuhammadAslam Sensitivity analysis framework for general quasi-variational

inclusions. (English summary) 2003j:49018

Ostroy, J. M. see Gretsky, N. E. et al., 2003i:90111Ould Ahmed Salem, C. see Lemaire, Bernard et al., 2003j:49040Pallaschke, D. (with Urbanski, R.) On the separation and order law of cancellation for

bounded sets. (English summary) 2003k:49040Park, Sehie Some equilibrium problems in generalized convex spaces. (English summary)

2003g:90113Polyrakis, Ioannis A. Lattice-subspaces and positive bases. An application in economics.


Popovici, Nicolae see Benoist, Joel, 2003c:90097Postolica, Vasile Vectorial optimization in locally convex spaces ordered by supernormal

cones and extensions. (English summary) 2003h:90073

Prinari, Francesca see Acerbi, Emilio et al., 2003e:49034Quesada Teruel, Jose Marıa (with Martınez-Moreno, Juan; Urena, J. N.) On best p-

approximation from affine subspaces: asymptotic expansion. (English and Frenchsummaries) 2003b:41025

Revalski, Julian P. see Lemaire, Bernard et al., 2003j:49040Ricceri, Biagio Some research perspectives in nonlinear functional analysis. (English


Rocca, Matteo see La Torre, Davide, 2003h:49025Rolewicz, Stefan Open problems in Φ-convexity. 2003f:26015

On the coincidence of some subdifferentials in the class of α(·)-paraconvex functions.(English summary) 2003e:49033

Ruiz Galan, Manuel Linear, nonlinear, linear. (English summary) (see 2003a:00031)Schachermayer, Walter see Delbaen, Freddy, 2003b:91045Schied, Alexander see Follmer, Hans, 2003j:91066and 2003j:91067

Sciffer, Scott see Giles, J. R., 2003b:49011Simons, Stephen Excesses, duality gaps and weak compactness. (English summary)

2003c:46019

Singer, Ivan Further applications of the additivemin-type coupling function. (Englishsummary) 2003f:49071

Solodov, M. V. see Izmailov, Alekseı Feridovich,2003j:90062Svanstedt, Nils see Lukkassen, Dag, 2003c:49022Teng, Yan Mei (with Fan, Yuan-ze) perturbed optimization on Banach spaces. (English

and Chinese summaries) 2003g:90086

Thera, Michel see Huynh Van Ngai et al., 2003d:49025Tiba, Dan A property of Sobolev spaces and existence in optimal design. (English

summary) 2003i:49075Turinici, Mihai Minimal point statements in product structures. (English summary)

2003h:90076

Uderzo, Amos see Castellani,Marco, 2003i:90115

46N Miscellaneous applications of functional analysis1241 2003 46N30

Urbanski, R. see Pallaschke, D., 2003k:49040Urena, J. N. see Quesada Teruel, Jose Marıa et al., 2003b:41025Vanderwerff, Jon D. see Borwein, JonathanM., 2003g:46051Vazquez,Carmen see Besada Morais, M. et al., 2003b:91035Wang, Xing Hua1 see Li, Chong1 et al., 2003m:90163

Wu, Yu Nan Existence and convergence of solutions for vector equilibrium problems.(English summary)see also Chen, Guang Ya

Xia, Fu Quan see Ding, Xie Ping, 2003h:49010Zame, William R. see Gretsky, N. E. et al., 2003i:90111Zhang,Wen Hong see Li, Chong1 et al., 2003m:90163

Zheng, Xi Yin Error bounds for convex multifunctions in normed spaces. (English andChinese summaries)

46N20 Applications to differential and integral equations

Meyer, Yves The role of oscillations in some nonlinear problems. (English summary)2003d:46102


Abdul Aziz, Zainal Functional integral solution of the complex diffusion equation withcomplex quadratic potential in a classical path space. (English summary)

Asano, Kiyoshi (with Tutschke, W.) An extended Cauchy-Kovalevskaya problem and itssolution in associated spaces. (English summary) 2003k:35003

Balachandran,Krishnan (with Prakash, Periasamy) Existence of solutions of nonlinearfuzzy Volterra integral equations. (English summary) 2003k:45002

Berg, Lothar (with Kruppel, Manfred) On discrete solutions of two-scale differenceequations. (English summary) 2003j:39057

Bouziani, Abdelfatah On the solvability of a class of singular parabolic equations withnonlocal boundary conditions in nonclassical function spaces. (English summary)2003i:35118

Butzer, Paul L. (with Westphal, U.) An introduction to fractional calculus. 2003g:26007

Canale, Anna (with Caso, Loredana; Transirico, Maria) Bounds for weak solutions ofelliptic equations in weighted spaces. (English summary) 2003j:35052

Capone,Claudia (with Greco, Luigi1; Iwaniec, Tadeusz) Higher integrability via Riesztransforms and interpolation. 2003e:35078

Caso, Loredana see Canale, Anna et al., 2003j:35052Castro, L. P. (with Duduchava, R.; Speck, Frank-Olme) Singular integral equations on

piecewise smooth curves in spaces of smooth functions. (English summary) 2003g:45004

Catalano,Fabio On a model connected with the Kirchhoff equation. (English summary)2003b:35141

Chen,Mu Fa Variational formulas of Poincare-type inequalities in Banach spaces offunctions on the line. (English summary) 2003j:34162

D’Ancona, Piero (with Georgiev, Vladimir; Kubo, Hideo) Weighted decay estimates for thewave equation. (English summary) 2003a:35130

Dapic, N. (with Kunzinger, Michael; Pilipovic, Stevan S.) Symmetry group analysis ofweak solutions. 2003f:46063

De Paoli, A. L. (with Estevez, M. A.; Rocca, M. C.; Vucetich, H.) Study of Gamowstates in the rigged Hilbert space with tempered ultradistributions. (English summary)2003e:81039

De Pascale, Espedito (with Lewicki, Grzegorz; Marino, Giuseppe) Some conditions forcompactness in BC (Q) and their application to boundary value problems. (Englishsummary) 2003g:46025

Duduchava,R. see Castro, L. P. et al., 2003g:45004Estevez,M. A. see De Paoli, A. L. et al., 2003e:81039Georgiev, Vladimir see D’Ancona, Piero et al., 2003a:35130Greco, Luigi1 see Capone, Claudia et al., 2003e:35078Griepentrog, Jens A. (with Groger, K.; Kaiser, H.-Chr.; Rehberg, J.) Interpolation

for function spaces related to mixed boundary value problems. (English summary)2003b:46040

Groger, K. see Griepentrog, Jens A. et al., 2003b:46040Iwaniec, Tadeusz see Capone,Claudia et al., 2003e:35078Kaiser, H.-Chr. see Griepentrog, Jens A. et al., 2003b:46040Kalton, Nigel J. (with Lancien, G.) Lp-maximal regularity on Banach spaces with a

Schauder basis. (English summary) 2003b:34123

Karasev, Denis N. (with Nogin, Vladimir A.) Inversion of some potential-type operatorswith oscillating kernels in the elliptic and non-elliptic cases. (English summary)2003h:31007

Khimshiashvili, G. N. Geometric aspects of Riemann-Hilbert problems. (English andGeorgian summaries) 2003j:30059

Krall, Allan M. Hilbert space, boundary value problems and orthogonal polynomials.(English summary) 2003f:34162

Kruppel,Manfred see Berg, Lothar, 2003j:39057Kubo, Hideo see D’Ancona, Piero et al., 2003a:35130Kunzinger,Michael see Dapic, N. et al., 2003f:46063Lancien, G. see Kalton, Nigel J., 2003b:34123Lapinova, S. A. see Saichev, A. I., 2003a:76096Lewicki, Grzegorz see De Pascale, Espedito et al., 2003g:46025Ligeza, Jan On a two point boundary value problem for linear differential equations of the

fourth order in the Colombeau algebra. (English summary) 2003b:34034

Lopes Filho, Milton C. (with Nussenzveig Lopes, Helena J.) Pointwise blow-up ofsequences bounded in L1. (English summary) 2003a:46047

Lukes, Jaroslav (with Netuka, Ivan; Vesely, Jirı) Choquet’s theory and the Dirichletproblem. (English summary) 2003i:31001

Marchi, Silvana Influence of the nonlocal terms on the regularity of equations involvingDirichlet forms. (English summary) 2003d:31010

Marino, Giuseppe see De Pascale, Espedito et al., 2003g:46025Mazzucato, Anna L. Besov-Morrey spaces: function space theory and applications to non-

linear PDE. (English summary) 2003j:46053

Mitrea, Marius (with Taylor, Michael E.) Potential theory on Lipschitz domains inRiemannian manifolds: the case of Dini metric tensors. (English summary) 2003k:31004

Moreira, Diego R. (with Teixeira, Eduardo V. O.) Weak convergence under nonlinearities.(English and Portuguese summaries) 2003m:47116

Nedeljkov, Marko Infinitely narrow soliton solutions to systems of conservation laws.(English summary) 2003c:35113

Netuka, Ivan see Lukes, Jaroslav et al., 2003i:31001Nogin, Vladimir A. see Karasev, Denis N., 2003h:31007Nussenzveig Lopes, Helena J. see Lopes Filho, Milton C., 2003a:46047Pilipovic, Stevan S. see Dapic, N. et al., 2003f:46063Prakash, Periasamy see Balachandran, Krishnan, 2003k:45002Pugachev, O. V. On the closability of classical Dirichlet forms in the plane. (Russian)

2003b:46045


Rehberg, J. see Griepentrog, Jens A. et al., 2003b:46040Ren, Z. D. see Rao, MalempatiMadhusudana,2003e:46041Rocca, M. C. see De Paoli, A. L. et al., 2003e:81039Rutkas, A. G. (with Vlasenko, L. A.) Existence of solutions of degenerate nonlinear

differential operator equations. (English summary) 2003a:34095

Saichev, A. I. (with Lapinova, S. A.) Supersingular functions and their application inmechanics. (Russian. English and Russian summaries) 2003a:76096

Salmanov, Yu. D. On the smoothness of generalized solutions for some nonlinear ordinarydifferentiable equations of order 2r. (English and Azerbaijani summaries)

Saloff-Coste,Laurent Aspects of Sobolev-type inequalities. (English summary)2003c:46048

Shevchik, V. V. An a priori estimate for a model semi-elliptic differential operator. (Englishsummary) 2003e:35030

Speck, Frank-Olme see Castro, L. P. et al., 2003g:45004Taylor, Michael E. see Mitrea, Marius, 2003k:31004Teixeira, Eduardo V. O. see Moreira, Diego R., 2003m:47116

Thater, Gudrun The Neumann problem, cylindrical outlets and Sobolev spaces. (Englishsummary) 2003g:35045

Transirico, Maria see Canale, Anna et al., 2003j:35052Tutschke, W. see Asano, Kiyoshi, 2003k:35003Vesely, Jirı see Lukes, Jaroslav et al., 2003i:31001Vlasenko, L. A. see Rutkas, A. G., 2003a:34095Vrabie, Ioan I. Compactness of the solution operator for a linear evolution equation with

distributed measures. (English summary) 2003d:47060

Vucetich,H. see De Paoli, A. L. et al., 2003e:81039Westphal, U. see Butzer, Paul L., 2003g:26007Zavorotins′kiı, A. V. Parameter-elliptic problems of transmission in complete scales

of spaces of generalized functions of Sobolev type. (Ukrainian. English summary)2003a:35050

46N30 Applications in probability theory and statistics


Barthe, Franck Extremal properties of central half-spaces for product measures. (Englishsummary) 2003a:60024

Ben Chrouda, Mohamed (with El Oued, Mohamed; Ouerdiane, Habib) Convolutioncalculus and applications to stochastic differential equations. (English summary)2003k:60173

Benth, Fred Espen On weightedL2(Ω)-spaces, their duals and Ito integration. (Englishsummary) 2003a:60078

Benyelles, Wafaa see Mourid, Tahar, 2003f:62104Blei, Ron Analysis in integer and fractional dimensions. (English summary)

2003a:46008

Buldygin, V. V. (with Utzet, Frederic; Zayats, Vladimir) A note on the application ofintegrals involving cyclic products of kernels. (English summary) 2003f:62102

Cadre, Benoıt Convergent estimators for the L1-median of a Banach valued randomvariable. (English summary) 2003m:62097

Capitanelli, Raffaela (with Lancia, Maria Rosaria) Nonlinear energy forms and Lipschitzspaces on the Koch curve. (English summary) 2003f:46056

Csornyei, Marianna How large is the small if the space is big? Null sets in Banach spaces.(Hungarian. English summary)

Dabo-Niang, Sophie Estimation de la densite dans un espace de dimension infinie:application aux diffusions. (English and French summaries) [Density estimation in aninfinite-dimensional space: application to diffusion processes] 2003a:62058


El Oued, Mohamed see Ben Chrouda, Mohamed et al., 2003k:60173Harge, Gilles Valeurs limites pour les elements des chaos. (English and French summaries)

[Boundary values for the elements of chaos] 2003a:28024

Heinich, Henri Probleme de Monge pour n probabilites. (English and French summaries)[Monge problem for n probabilities] 2003d:60032

Hu, Xiao Shan Structure and properties of a family of Hida generalized functionals.(Chinese. English and Chinese summaries) 2003j:60094

Kawabe, Jun Uniform tightness for transition probabilities on nuclear spaces. (Englishsummary) (see 2003a:00030)

Khrennikov, Andrei (with Lyudkovskiı, S. V.) Stochastic processes on non-Archimedeanspaces with values in non-Archimedean fields. (English summary) 2003i:60009

Kwapien, Stanisław (with Tarieladze, V. I.) Mackey continuity of characteristic functionals.(English summary) 2003m:60010

Lancia, Maria Rosaria seeCapitanelli, Raffaela, 2003f:46056Lyudkovskiı, S. V. see Khrennikov, Andrei, 2003i:60009Matsui, Taku The bosonic central limit theorem.Montgomery-Smith,Stephen Rearrangement invariant norms of symmetric sequence

norms of independent sequences of random variables. (English summary) 2003m:46014

FUNCTIONAL ANALYSIS46N30 2003 1242

Mourid, Tahar (with Benyelles, Wafaa) Estimation de la periode de la representationautoregressive d’un processus a temps continu. (French summary) [Period estimation ofthe autoregressive representation of a continuous-time process] 2003f:62104

Ouerdiane,Habib see Ben Chrouda,Mohamed et al., 2003k:60173Sethuraman,Sunder An equivalence of H−1 norms for the simple exclusion process.


Sgibnev,Mikhail S. Stone’s decomposition of the renewal measure via Banach-algebraictechniques. (English summary) 2003c:60144

Tarieladze,V. I. see Kwapien, Stanisław, 2003m:60010

Urbanıkova,Marta Limit theorems for B-lattice valued random variables. (Englishsummary) 2003b:60013

Utzet, Frederic see Buldygin, V. V. et al., 2003f:62102Wahba, Grace Soft and hard classification by reproducing kernel Hilbert space methods.

(English summary)Wang, Rong Ming (with Wu, Wei Zhi) Projections of set-valued stochastic processes.

(Chinese. English and Chinese summaries) 2003h:60049

Wu, Wei Zhi see Wang, Rong Ming, 2003h:60049Zayats, Vladimir see Buldygin, V. V. et al., 2003f:62102

46N40 Applications in numerical analysis [see also 65Jxx]

Sloan, Ian H. (with Wozniakowski, Henryk) Tractability of integration in non-periodicand periodic weighted tensor product Hilbert spaces. (English summary) 2003e:46119

Wozniakowski, Henryk see Sloan, Ian H., 2003e:46119


Bause, Markus (with Knabner, Peter) Uniform error analysis for Lagrange-Galerkinapproximations of convection-dominatedproblems. (English summary) 2003d:65087

Berezanskiı, Yuriı Makarovich Pascal measure on generalized functions and the corre-sponding generalizedMeixner polynomials. (English summary) 2003b:46059

Bouhamidi, A. Hilbertian approach for univariate spline with tension. (English summary)2003e:41012

Brenner, Susanne C. (with Scott, L. Ridgway) The mathematical theory of finite elementmethods. (English summary) 2003a:65103

Chen, Di-Rong (with Zheng, Xiaobo) Stability implies convergence of cascade algorithmsin Sobolev space. (English summary) 2003c:42032a

(with Zheng, Xiaobo) Erratum to: “Stability implies convergence of cascade algorithmsin Sobolev space”. 2003c:42032b

Didenko, V. D. (with Silbermann, Bernd) On stability of approximation methods for theMuskhelishvili equation. (English summary) 2003h:65178

Dilworth, S. J. (with Kutzarova, Denka; Temlyakov, V. N.) Convergence of some greedyalgorithms in Banach spaces. (English summary) 2003f:41054

Duan, Huo Yuan A characterization of the orthogonal decomposition of Hilbert spaces andits application. (Chinese. English and Chinese summaries) 2003i:46021

Faermann, Birgit Localization of the Aronszajn-Slobodeckij norm and application toadaptive boundary element methods. II. The three-dimensional case. (English summary)2003i:65120

Ferrari-Trecate, Giancarlo (with Rovatti, Riccardo) Fuzzy systems with overlappingGaussian concepts: approximation properties in Sobolev norms. (English summary)

Gustafsson, Bjorn (with Putinar, Mihai) Linear analysis of quadrature domains. II.(English summary) 2003e:47036a

Knabner, Peter see Bause, Markus, 2003d:65087Kutzarova, Denka see Dilworth, S. J. et al., 2003f:41054Li, Youming1 Applicability of Smolyak’s algorithms to certain Banach spaces of multivari-

ate functions. (English summary) 2003j:41052

Lifanov, I. K. (with Poltavskiı, L. N.) Pseudodifference operators and uniform convergenceof difference relations. (Russian. Russian summary) 2003j:46050

Nikol′skiı, Sergeı Mikhaılovich Boundary value problem and algebraic polynomials.2003j:35033

Nishishiraho, Toshihiko Sairyo kinji riron to kansu kaiseki. (Japanese) [Best approxima-tion theory and functional analysis] 2003b:41001

Poltavskiı, L. N. see Lifanov, I. K., 2003j:46050Putinar, Mihai Linear analysis of quadrature domains. III. (English summary)

2003e:47036bsee also Gustafsson, Bjorn, 2003e:47036a

Roch, Steffen Algebras of approximation sequences: Fredholmness. (English summary)2003f:47126

Algebras of approximation sequences: Fredholm theory in fractal algebras. (Englishsummary) 2003d:47105

Rovatti, Riccardo see Ferrari-Trecate, Giancarlo

Scott,L. Ridgway see Brenner, Susanne C., 2003a:65103Silbermann, Bernd see Didenko, V. D., 2003h:65178Temlyakov, V. N. see Dilworth, S. J. et al., 2003f:41054Vaskevich, V. L. Optimal cubature formulas in a reflexiveBanach space. (English summary)

2003m:41050

Weber, Uwe Weighted polynomial approximation methods for Cauchy singular integralequations in the non-periodic case. (English summary) 2003b:65143

Zarnadze,D. On spline algorithms and best approximations in finite codimensionalsubspaces.

Zheng, Xiaobo see Chen, Di-Rong, 2003c:42032a and 2003c:42032b

46N50 Applications in quantum physics

Asai, Nobuhiro On quantum white noises and related transformations.Bagarello, Fabio Locally convex ∗-algebras and the thermodynamical limit of quantum

models. (English summary) (see 2003g:00024)Guta, Madalin (with Maassen, Hans) Symmetric Hilbert spaces arising from species of

structures. (English summary) 2003g:46085

Hiroshima, Fumio Infinitesimal generators of one-parameter unitary groups on a bosonFock space. (English summary)

Maassen, Hans see Guta, Madalin, 2003g:46085Serovaıskiı, S. Ya. The Cauchy principle in problems of mathematical physics. (Russian.

English, Russian and Kazakh summaries)


Atakishiev, N. M. (with Klimyk, A. U.) Diagonalization of representation operators forthe quantum algebraUQ(SU1,1). (English summary) 2003i:17017

Attal, Stephane The structure of the quantum semimartingale algebras. (English summary)2003k:81114(with Bernard, Alain) Orthogonal spaces associated with exponentials of indicatorfunctions on Fock space. (English summary) 2003k:81094

Bagarello, Fabio (with Trapani, Camillo) Algebraic dynamics in O∗-algebras: a perturba-tive approach. (English summary) 2003d:47099

Bagchi, Bijan Kumar (with Quesne, Christianne) Non-HermitianHamiltonians with realand complex eigenvalues in a Lie-algebraic framework. (English summary) 2003f:81090

Barczy, Matyas (with Toth, Mariann) Local automorphisms of the sets of states andeffects on a Hilbert space. (English summary) 2003a:81078

Bernard, Alain see Attal, Stephane,2003k:81094Cannata, F. see Levai, G. et al., 2003e:81204 and 2003e:81205

Cartier, Pierre Mathemagics (a tribute to L. Euler and R. Feynman). 2003c:81002Catto, I. (with Le Bris, Claude; Lions, P.-L.) On the thermodynamic limit for Hartree-

Fock type models. (English and French summaries) 2003e:81044a(with Le Bris, Claude; Lions, P.-L.) On some periodic Hartree-typemodels for crystals.(English and French summaries) 2003e:81044b

Chebotarev, A. M. Lectures on quantum probability. (English summary) 2003k:81116

What is a quantum stochastic equation from the point of view of functional analysis?(Russian. Russian summary) 2003e:81112

Chung, Dong Myung (with Ji, Un Cig; Obata, Nobuaki) Quantum stochastic analysis viawhite noise operators in weightedFock space. (English summary) 2003g:60116

Dvurecenskij, Anatolij A new algebraic criterion for completeness of inner product spaces.(English summary) 2003a:46037

Dynin, Alexander Feynman integral for functional Schrodinger equations. (Englishsummary) 2003i:58022

(Euler, Leonhard) see Cartier, Pierre, 2003c:81002(Feynman, R.) see Cartier, Pierre, 2003c:81002Gottschalk, Hanno Complex velocity transformations and the Bisognano-Wichmann

theorem for quantum fields acting on Krein spaces. (English summary) 2003g:81119

Heinonen, Teiko (with Lahti, Pekka; Pellonpaa, Juha-Pekka) Covariant phase differenceobservables in quantummechanics. (English summary) 2003m:81052

Hien, Marco Die Cluster-Eigenschaft der S-Matrix. (German) [The cluster property ofthe S-matrix] 2003a:81216

Hollands, Stefan Noether charges for self-interacting quantum field theories in curvedspacetimes with a Killing-vector. (English summary) 2003a:81122

Hudson, R. L. Classical stochastic processes from quantum stochastic calculus.2003a:81092

Isidro, Jose Marıa2 Duality and the geometry of quantum mechanics. (English summary)2003d:81140

Ito, Yoshifumi Methods of renormalization and distributions. (English summary)2003a:46063

Jefferies, Brian R. F. Integration structures for the operator-valued Feynman integral.(English summary) 2003k:46059

(with Johnson, Gerald W.) Feynman’s operational calculi for noncommuting operators:spectral theory. (English summary) 2003g:47031

Ji, Un Cig (with Obata, Nobuaki) Segal-Bargmann transform of white noise operatorsand white noise differential equations. (English summary)see also Chung, Dong Myung et al., 2003g:60116

Jiang, Li Ning The duality theorem in field algebra of G -spin model. (Chinese. English andChinese summaries) 2003g:46067

Johnson, Gerald W. see Jefferies, Brian R. F., 2003g:47031Jorgensen, Palle E. T. (with Proskurin, Daniil P.; Samoılenko, Yuriı S.) A family of ∗-

algebras allowingWick ordering: Fock representations and universal enveloping C ∗-algebras. (English summary) 2003c:46080

King, Christopher Maximization of capacity and lp norms for some product channels.(English summary) 2003a:81020

Klimyk, A. U. see Atakishiev, N. M., 2003i:17017Lahti, Pekka see Heinonen,Teiko et al., 2003m:81052

Langmann, Edwin Quantum theory of fermion systems: topics between physics andmathematics. (English summary) 2003e:81107

Le Bris, Claude see Catto, I. et al., 2003e:81044aand 2003e:81044b

Levai, G. (with Cannata, F.; Ventura, Alberto) PT -symmetric potentials and the so(2, 2)algebra. (English summary) 2003e:81204

(with Cannata, F.; Ventura, Alberto) PT symmetry breaking and explicit expressions forthe pseudo-norm in the Scarf II potential. (English summary) 2003e:81205

Lieb, Elliott H. The Bose gas: a subtle many-body problem. (English summary)2003a:81228

Lions, P.-L. see Catto, I. et al., 2003e:81044a and 2003e:81044bŁuczak, A. Quantum dynamical semigroups in strongly finite von Neumann algebras.

(English summary) 2003h:46100Matsui, Taku On non-commutative Ruelle transfer operator. (English summary)

2003i:82009Mnatsakanova,M. N. see Vernov, Yu. S., 2003c:81097Moriya, Hajime Some aspects of quantum entanglement for CAR systems. (English


Muraki, Naofumi Weighted monotone Fock space and a Brownian motion with thedistribution of Bozejko-Leinert-Speicher. (English summary)

Nielsen, Lance Stability properties of Feynman’s operational calculus for exponentialfunctions of noncommuting operators. (English summary) 2003k:58013

Obata, Nobuaki see Chung, Dong Myung et al., 2003g:60116 and Ji, Un Cig

Pellonpaa, Juha-Pekka On the structure of covariant phase observables. (Englishsummary) 2003d:81144

46S Other (nonclassical) types of functional analysis1243 2003 46S10

see also Heinonen,Teiko et al., 2003m:81052

Petz, Denes Monotonicity of quantum relative entropy revisited. (English summary)2003m:82007

Proskurin, Daniil P. Stability of a special class of qij-CCR and extensions of irrationalrotation algebras. (English summary) 2003h:46080

see also Jorgensen, Palle E. T. et al., 2003c:46080Quesne, Christianne see Bagchi, Bijan Kumar, 2003f:81090Repka, J. see Rowe, David J., 2003k:81099Rowe, David J. (with Repka, J.) Coherent state triplets and their inner products. (English


Samoılenko,Yuriı S. see Jorgensen, Palle E. T. et al., 2003c:46080Sardanashvili,G. A. Nonequivalent representations of nuclear algebras of canonical

commutation relations: quantum fields. (English summary) 2003m:81126Schmidt, Andreas U. Infinite infrared regularization and a state space for the Heisenberg

algebra. (English summary) 2003b:81114aErratum: “Infinite infrared regularization and a state space for the Heisenberg algebra”.2003b:81114b

Shustikov, S. Yu. Nonexplosion theorem for matter-field interaction. 2003e:81113

Slavnov,D. A. A statistical-algebraic approach to quantum mechanics. (Russian. Russiansummary) 2003c:81017

Sniady, Piotr On q-deformed quantum stochastic calculus. (English summary)2003g:81112

Solov′ev,M. A. Lorentz-covariant ultradistributions, hyperfunctions, and analyticfunctionals. (Russian. Russian summary) 2003c:81212

Sontz,Stephen Bruce Euler’s constant in Segal-Bargmann analysis. (English summary)2003m:81131

Tokarev, A. G. A noncommutative analogue of Berezin’s formula. (Russian. Russiansummary) 2003e:81087

Toth, Mariann see Barczy, Matyas, 2003a:81078Trapani, Camillo see Bagarello, Fabio, 2003d:47099Ventura, Alberto see Levai, G. et al., 2003e:81204 and 2003e:81205

Vernov, Yu. S. (with Mnatsakanova, M. N.) Regular representations of the generalizedHeisenberg algebra.(Russian. Russian summary) 2003c:81097

Znojil,Miloslav ShouldPT symmetric quantummechanics be interpreted as nonlinear?(English summary) 2003h:81057

46N55 Applications in statistical physics


Emch, Gerard G. (with Liu, Chuang) The logic of thermostatistical physics. (Englishsummary) 2003g:82001

Liu, Chuang see Emch, Gerard G., 2003g:82001

46N60 Applications in biology and other sciences


Akant, L. (with Krishnaswami, G. S.; Rajeev, S. G.) Entropy of operator-valued randomvariables: a variational principle for large N matrix models. (English summary)2003i:81139

Doplicher, Sergio (with Longo, Roberto; Roberts, John E.; Zsido, Laszlo) A remark onquantum group actions and nuclearity. (English summary) 2003h:46097

Krishnaswami, G. S. see Akant, L. et al., 2003i:81139Longo, Roberto seeDoplicher, Sergio et al., 2003h:46097Rajeev, S. G. see Akant, L. et al., 2003i:81139Roberts, John E. see Doplicher, Sergio et al., 2003h:46097Zsido, Laszlo see Doplicher, Sergio et al., 2003h:46097

46N99 None of the above, but in this section


Akira, Hirabayashi (with Ogawa, Hidemitsu) Functional analytic theory of supervisedlearning. (English summary)

Aldroubi, Akram (with Grochenig, Karlheinz) Nonuniform sampling and reconstructionin shift-invariant spaces. (English summary) 2003e:94040

Alper, Joseph S. see Perez Laraudogoitia, Jon et al., 2003h:70005 and 2003h:70006

Biglieri, Ezio (with Taricco, Giorgio; Tulino, Antonia) Performance of space-time codesfor a large number of antennas. (English summary) 2003j:94064

Bourgain, Jean Λp-sets in analysis: results, problems and related aspects. 2003e:43006

Bridger, Mark see Perez Laraudogoitia, Jon et al., 2003h:70005 and 2003h:70006Grochenig, Karlheinz see Aldroubi, Akram, 2003e:94040Gustafsson, Bjorn (with Putinar, Mihai) Linear analysis of quadrature domains. II.

(English summary) 2003e:47036a

Hansen, Frank Convexmatrix functions. 2003i:26011

Heinzle, J. Mark (with Steinbauer, Roland) Remarks on the distributional Schwarzschildgeometry. (English summary) 2003b:83009

Mendelson,Shahar Learnability in Hilbert spaces with reproducing kernels. (Englishsummary) 2003b:62073

On the size of convex hulls of small sets. (English summary) 2003b:68170Ogawa, Hidemitsu see Akira, Hirabayashi

Perez Laraudogoitia, Jon On the dynamics of Alper and Bridger. (English summary)2003h:70005

(with Bridger, Mark; Alper, Joseph S.) Two ways of looking at a Newtonian supertask.(English summary) 2003h:70006

Putinar, Mihai Linear analysis of quadrature domains. III. (English summary)2003e:47036b

see also Gustafsson, Bjorn, 2003e:47036aSteinbauer, Roland see Heinzle, J. Mark, 2003b:83009Taricco, Giorgio see Biglieri, Ezio et al., 2003j:94064

Tulino, Antonia see Biglieri, Ezio et al., 2003j:94064Umegaki, Hisaharu Channels and conditional expectations over functional analysis.

(Japanese. Japanese summary)

46Sxx Other (nonclassical) types of functional analysis[see also 47Sxx]

46S10 Functional analysis over fields other than R or C orthe quaternions; non-Archimedean functional analysis[see also 12J25, 32P05]

Ameziane Hassani, R. (with Babahmed,M.) Espaces parfaits dans une dualite separantesur un corps value non-archimedien. [Perfect spaces in a separating duality over a non-Archimedean valued field] 2003d:46103

Babahmed, M. see Ameziane Hassani, R., 2003d:46103Bernardes, Nilson C., Jr. (with Pombo, Dinamerico P., Jr.) Polynomially bornological

topological vector spaces. (English summary) 2003e:46120

Cahen, Paul-Jean (with Chabert, Jean-Luc) On the ultrametric Stone-Weierstrass theoremand Mahler’s expansion. (English and French summaries) 2003g:46086

Chabert, Jean-Luc see Cahen, Paul-Jean, 2003g:46086Choudhary, K. K. see Kumar, Pramod et al.

De Grande-De Kimpe, N. (with Kakol, Jerzy; Perez-Garcıa, Cristina; Schikhof, W. H.)Weak bases in p-adic spaces. (English and Italian summaries) 2003k:46109

Diarra, Bertin Continuous coderivations of complete ultrametric Hopf algebras. (Englishsummary) 2003a:46105

Kakol, Jerzy see De Grande-De Kimpe, N. et al., 2003k:46109Kumar, Pramod (with Choudhary, K. K.; Prasad, Ramawatar) On non-Archimedean semi-

normed linear spaces. (English summary)Kuz′min, Andrei Viktorovich Homological properties of the algebra C (X ) in non-

Archimedean analysis. (Russian. English and Russian summaries) 2003b:46087

Lyudkovskiı, S. V. Quasi-invariant and pseudodifferentiable real-valuedmeasures on non-Archimedean Banach spaces. (Russian. English and Russian summaries) 2003i:46085

Perez-Garcıa, Cristina seeDe Grande-De Kimpe, N. et al., 2003k:46109Pombo, Dinamerico P., Jr. see Bernardes, Nilson C., Jr., 2003e:46120Prasad, Ramawatar see Kumar, Pramod et al.

Sait-Ametov, M. R. On a Gaussian free measure on the space of distributions over the fieldof p-adic numbers. (English summary) 2003e:46121

Schikhof,W. H. see De Grande-De Kimpe, N. et al., 2003k:46109Schneider, Peter1 Nonarchimedean functional analysis. (English summary) 2003a:46106Sliwa, Wiesław Examples of non-Archimedean nuclear Frechet spaces without a Schauder

basis. (English summary) 2003d:46104

Closed subspaces without Schauder bases in non-Archimedean Frechet spaces. (Englishsummary) 2003f:46117

On closed subspaces with Schauder bases in non-Archimedean Frechet spaces. (Englishsummary) 2003e:46122

On symmetric Schauder bases in non-Archimedean Frechet spaces. (English summary)2003g:46087

Items with secondary classifications in 46S10

Abrams, Gene (with Pha.m Ngo. c Anh) Some ultramatricial algebras which arise asintersections of Leavitt algebras. (English summary) 2003m:16040

Boutabaa, Abdelbaki (with Escassut, Alain) p-adic Nevanlinna theory and functionalanalysis. (English summary) (see 2003g:00024)(with Cherry, William A.; Escassut, Alain) Unique range sets in positive characteristic.2003m:30067a(with Cherry, William A.; Escassut, Alain) Erratum to: “Unique range sets in positivecharacteristic” [Acta Arith. 103 (2002), no. 2, 169–189; 1904871]. 2003m:30067bsee also Escassut, Alain, (2003g:00024)

Chand, D. K. Almost automorphic functions in non-Archimedean Banach space. (Englishsummary)

Cherry, William A. see Boutabaa,Abdelbaki et al., 2003m:30067aand 2003m:30067b

Christol, Gilles (with Mebkhout, Zoghman) Equations differentielles p-adiques etcoefficients p-adiques sur les courbes. (French summary) [p-adic differential equationsand p-adic coefficients on curves] 2003i:12014

De Grande-De Kimpe, N. (with Perez-Garcıa,Cristina) The extension of p-adic compactoperators. (English summary) 2003e:47125

Escassut, Alain (with Boutabaa, Abdelbaki) Unique range sets in p-adic and complexanalysis. (English summary) (see 2003g:00024)see also Boutabaa, Abdelbaki et al., 2003m:30067a;2003m:30067b; (2003g:00024) andUltrametric functional analysis, 2003m:46005

Khrennikov, Andrei (with Lyudkovskiı, S. V.) Stochastic processes on non-Archimedeanspaces with values in non-Archimedean fields. (English summary) 2003i:60009

(with Radyna, Aliaksandr) p-adic interpolation and approximation of a continuousfunction by linear combinations of shifts of p-adic valuations. (English summary)2003j:41037

Krutikov, Denis On an essential spectrum of the random p-adic Schrodinger-type operatorin the Anderson model. (English summary) 2003f:47064

Lyudkovskiı, S. V. see Khrennikov, Andrei, 2003i:60009Mebkhout, Zoghman see Christol, Gilles, 2003i:12014Natarajan, P. N. Some properties of the Y -method of summability in complete ultrametric

fields. (English summary) 2003f:40006

(with Srinivasan, Vaithinathsamy) Silvermann-Toeplitz theorem for double sequencesand series and its application to Norlund means in non-Archimedean fields. (Englishsummary) 2003f:40001

Perez-Garcıa, Cristina see De Grande-De Kimpe, N., 2003e:47125 and Ultrametricfunctional analysis, 2003m:46005

Pha.m Ngo.c Anh see Abrams, Gene, 2003m:16040

FUNCTIONAL ANALYSIS46S10 2003 1244

Radyna,Aliaksandr see Khrennikov, Andrei, 2003j:41037Radyna,M. Functionals with values in the non-Archimedean field of Laurent series

and their applications to the equations of elasticity theory. I. (English and Lithuaniansummaries) 2003m:30092

Sato, Fumihiro p-adic Green functions and zeta functions. 2003d:11174

(Schikhof,W. H.) see Ultrametric functional analysis, 2003m:46005

Schneider, Peter1 (with Teitelbaum, Jeremy) p-adic boundary values. (English summary)2003k:14023

Schorner, Erwin On maximal immediate extensions of valued division algebras. (Englishsummary) 2003k:17003

Srinivasan,Vaithinathsamy see Natarajan, P. N., 2003f:40001Teitelbaum, Jeremy see Schneider, Peter1, 2003k:14023


Conference:

p-adic FunctionalAnalysis Ultrametric functional analysis. 2003m:46005ContemporaryMathematics Ultrametric functional analysis. 2003m:46005

Festschrift:

Schikhof,Wilhelmus H. Ultrametric functional analysis. 2003m:46005

Nijmegen Ultrametric functional analysis. 2003m:46005Ultrametric functional analysis Ultrametric functional analysis. 2003m:46005

46S20 Nonstandard functional analysis [see also 03H05]

Gutman, A. E. (with Ryabko, D. B.) A completeness criterion for the nonstandard hull of anormed space in a Boolean-valued universe. (Russian)(with Ryabko, D. B.) The nonstandard hull of a normed space in a Boolean-valueduniverse [Translation of Mat. Tr. 4 (2001), no. 2, 42–52;MR 2002h:46126]. (Englishsummary)

Karabyn,O. On notion of bases in a Hilbert space. (English and Russian summaries)2003j:46117

Kudrik, T. S. see Lyantse, V. E., 2003j:46118Lyantse, V. E. (with Kudrik, T. S.) On near-standardness in Hilbert spaces. (Russian.

Russian summary) 2003j:46118

Ryabko,D. B. see Gutman, A. E.


Benth, Fred Espen (with Ng, Siu-Ah) Donsker’s delta function and the covariance betweengeneralized functionals. (English summary) 2003f:60120

Burgin, Mark Theory of hypernumbers and extrafunctions: functional spaces anddifferentiation. (English summary) 2003e:26041

Elsken, Thomas A nonstandard description of retarded functional differential equations.(English summary) 2003g:34135


Hoskins, Roy Frank see Sousa Pinto, J., 2003f:46058Karabyn,O. Nonstandard bases of subspaces in a Hilbert space. (Ukrainian. English,

Russian and Ukrainian summaries) 2003k:46012


Kutateladze,S. S. see Nonstandard analysis and vector lattices, 2003f:46001 and Kusraev, A.G., (2003f:46001)

Ng, Siu-Ah see Benth, Fred Espen, 2003f:60120Ortiz, Carlos E. An omitting types theorem for positive bounded formulas in normed

spaces. (English summary) 2003b:03049

Sousa Pinto, J. (with Hoskins, Roy Frank) Hyperfinite representation of distributions.(English summary) 2003f:46058

Vanderputten,Laurent Nonstantard representation theory of standard operators defined onthe space of Bochner integrable functions. (English summary) 2003b:03111



46S30 Constructive functional analysis [see also 03F60]


Bridges, Douglas S. (with Ishihara, Hajime) Constructive closed range and open mappingtheorems. (English summary) 2003d:03102

(with Dudley Ward, Nicholas F.) Kernels of seminorms in constructive analysis. (Englishsummary) 2003f:03077

Dudley Ward, Nicholas F. see Bridges, Douglas S., 2003f:03077Ishihara, Hajime see Bridges, Douglas S., 2003d:03102Shanin,N. A. On a finitary version of mathematical analysis. (English summary)

2003j:03081

Vıta, Luminita Embedding a linear subset ofB(H ) in the dual of its predual. (Englishsummary) 2003b:47112

46S40 Fuzzy functional analysis [see also 03E72]

Cokilavany,R. see Meenakshi, A. R., 2003f:46118Fang, Jin-Xuan (with Xu, Xiao-li) Completeness and an extension theorem for continuous

fuzzy linear order-homomorphisms. (English summary) 2003h:46108

see also Huang,Huan, 2003j:46119Huang,Huan (with Fang, Jin-Xuan) A note on the relation betweenA [a, b] andB [a, b].


Meenakshi, A. R. (with Cokilavany, R.) Fuzzy 2-inner product spaces. (English summary)2003f:46118

Rojas-Medar,Marko Antonio see Roman-Flores, Heriberto, 2003i:46086

Roman-Flores, Heriberto (with Rojas-Medar, Marko Antonio) Embedding of level-continuous fuzzy sets on Banach spaces. (English summary) 2003i:46086

Wu, Jian Rong2 An embedding theorem for fuzzy numbers on Banach spaces and itsapplications. (English summary) 2003c:46088

Xu, Xiao-li see Fang, Jin-Xuan, 2003h:46108Yan, Cong Hua Generalization of inductive topologies to L-topological vector spaces.


A new characterization of L-fuzzy locally convex topological vector spaces and itsapplications. (English summary) 2003g:46088


Fang, Jin-Xuan A note on the completions of fuzzy metric spaces and fuzzy normed spaces.(English summary)

46S50 Functional analysis in probabilistic metric linear spaces

Guo, Tie-xin Survey of recent developments of random metric theory and its applicationsin China. II. (English and Chinese summaries) 2003e:46123

Lafuerza-Guillen, B. D -bounded sets in probabilistic normed spaces and in their products.(English and Italian summaries) 2003k:46110


Beg, Ismat (with Gal, Sorin G.) On the probabilistic domain invariance. (Englishsummary) 2003c:47091

Gal, Sorin G. see Beg, Ismat, 2003c:47091Rath, D. A note on the completeness of the space of bounded sequences with values in a

Hausdorff locally convex topological vector space. (English summary) 2003f:46011

Su, Yong Fu see Xu, Yong ChunXu, Yong Chun (with Su, Yong Fu) Differential mean value theorem in curved Banach

spaces and the application. (Chinese. English and Chinese summaries)

46S60 Functional analysis on superspaces (supermanifolds) orgraded spaces [see also 58A50 and 58C50]


Khrennikov, Andrei Суперанализ. (Russian. Russian summary) [Superanalysis]2003i:58016

Onishchik, A. L. Problems of the classification of complex supermanifolds. (Russian.Russian summary) 2003e:32015

46S99 None of the above, but in this section


Litvinov, G. L. (with Maslov, V. P.; Sobolevskiı, A. N.) Idempotent mathematics andinterval analysis. (Russian. English summary) 2003e:65076

Maslov, V. P. see Litvinov, G. L. et al., 2003e:65076Sobolevskiı, A. N. see Litvinov, G. L. et al., 2003e:65076

46Txx Nonlinear functional analysis [see also 47Hxx,47Jxx, 58Cxx, 58Dxx]

46T05 Infinite-dimensional manifolds [see also 53Axx, 57N20,58Bxx, 58Dxx]

Items with secondary classifications in 46T05

Glockner, Helge Infinite-dimensional Lie groups without completeness restrictions.(English summary) 2003g:22024

Kunakovskaya,O. V. Cohomology functors on the category=C r of Banach manifolds.(English summary) 2003a:58007

46T12 Measure (Gaussian, cylindrical, etc.) and integrals(Feynman, path, Fresnel, etc.) on manifolds[see also 28Cxx, 46G12, 60–XX]

Uglanov, A. V. Surface integrals in locally convex spaces. (Russian. Russian summary)2003e:46124


Bogachev, Vladimir I. (with Pugachev, O. V.; Rockner, Michael) Surface measures andtightness of Sobolev capacities on a Poisson space. (Russian)

Chang, Kun Soo (with Kim, Byung Soo1; Song, Teuk Seob; Yoo, Il) Convolution andanalytic Fourier-Feynman transforms over paths in abstract Wiener space. (Englishsummary) 2003f:46065

Dynin, Alexander Feynman integral for functional Schrodinger equations. (Englishsummary) 2003i:58022

Hsu, Elton P. Quasi-invariance of the Wiener measure on path spaces: noncompact case.(English summary) 2003i:58069

Kim, Byung Soo1 see Chang, Kun Soo et al., 2003f:46065Kozak, Agnieszka Nonlinear Gaussian transformation in separableHilbert spaces. (English


Lee, Yuh-Jia (with Shih, Cheng-Yuh) The Riesz representation theorem on infinitedimensional spaces and its applications. (English summary) 2003e:46070

Privault, Nicolas Weitzenbock formulas on Poisson probability spaces. (English summary)2003b:58050

Pugachev, O. V. see Bogachev, Vladimir I. et al.

46T Nonlinear functional analysis1245 2003 46T99

Pulemyotov, Artyom On the support of the product of resolutions of identity. (Englishsummary) 2003d:47006

Rockner, Michael see Bogachev, Vladimir I. et al.

Shih, Cheng-Yuh see Lee, Yuh-Jia, 2003e:46070Shimomura, Hiroaki Quasi-invariant measures on the group of diffeomorphisms and

smooth vectors of unitary representations. (English summary) 2003d:58017Song, Teuk Seob see Chang, Kun Soo et al., 2003f:46065Yoo, Il see Chang, Kun Soo et al., 2003f:46065

46T20 Continuous and differentiable maps [see also 46G05]

Atkin, C. J. Extension of smooth functions in infinite dimensions. II. Manifolds. (Englishsummary) 2003a:46107

Dobrowolski, Tadeusz Weak bump functions and applications. (English summary)2003j:46121

Su, Yong Fu see Xu, Yong ChunXu, Yong Chun (with Su, Yong Fu) Differential mean value theorem in curved Banach

spaces and the application. (Chinese. English and Chinese summaries)


Gaspari, T. On the range of the derivative of a real-valued function with bounded support.(English summary) 2003k:46057

Gel′man, B. D. A generalized implicit mapping theorem. (Russian. Russian summary)2003a:49026


Lindenstrauss, Joram see Johnson,William B. et al., 2003a:46064Novruzi, Arian (with Pierre, Michel) Structure of shape derivatives. (English summary)

2003g:49061

Pierre, Michel see Novruzi, Arian, 2003g:49061Preiss, David see Johnson,William B. et al., 2003a:46064Schechtman,Gideon see Johnson,William B. et al., 2003a:46064

46T25 Holomorphic maps [see also 46G20]


Elin, Mark (with Reich, Simeon; Shoikhet, David) Asymptotic behavior of semigroupsof D-non-expansive and holomorphic mappings on the Hilbert ball. (English summary)2003k:47100

Reich, Simeon see Elin, Mark et al., 2003k:47100Shoikhet,David see Elin, Mark et al., 2003k:47100

46T30 Distributions and generalized functions on nonlinearspaces [see also 46Fxx]

Grosser, Michael (with Kunzinger, Michael; Oberguggenberger, Michael; Steinbauer,Roland) Geometric theory of generalized functions with applications to generalrelativity. (English summary) 2003d:46105(with Kunzinger, Michael; Steinbauer, Roland; Vickers, J. A.) A global theory ofalgebras of generalized functions. (English summary) 2003a:46108

Kunzinger,Michael (with Steinbauer, Roland) Foundations of a nonlinear distributionalgeometry. (English summary) 2003e:46125

Generalized functions valued in a smooth manifold. (English summary) 2003h:46109

see also Grosser, Michael et al., 2003a:46108 and 2003d:46105Oberguggenberger,Michael see Grosser, Michael et al., 2003d:46105Steinbauer, Roland see Grosser, Michael et al., 2003a:46108;2003d:46105 and Kunzinger,

Michael, 2003e:46125Vickers, J. A. see Grosser, Michael et al., 2003a:46108


Ito, Yoshifumi Theory of (vector-valued) Sato hyperfunctions on a real-analyticmanifold.(English summary) 2003a:32006

Kunzinger,Michael (with Steinbauer, Roland) Generalized pseudo-Riemannian geometry.(English summary) 2003g:46046

Steinbauer, Roland see Kunzinger, Michael, 2003g:46046

46T99 None of the above, but in this section


Ambrosio, Luigi (with Kirchheim, Bernd) Rectifiable sets in metric and Banach spaces.2003a:28009

Kirchheim, Bernd see Ambrosio, Luigi, 2003a:28009

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