Recent Progress in Functional Analysis - 1st Edition - ISBN: 9780444502193, 9780080515922

Recent Progress in Functional Analysis, Volume 189

1st Edition

Authors: K.D. Bierstedt J. Bonet M. Maestre J. Schmets
eBook ISBN: 9780080515922
Hardcover ISBN: 9780444502193
Imprint: North Holland
Published Date: 20th September 2001
Page Count: 468
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Table of Contents

List of sponsors and committees. Schedule. List of the special sessions. Schedules of the special sessions. Schedule of the poster sessions. List of participants. List of contributors.

The mathematical works of Manuel Valdivia, II (J. Schmets).

Fréchet differentiability of Lipschitz functions (a survey) (J. Lindenstrauss, D. Preiss).

Summing inclusion maps between symmetric sequence spaces, a survey (A. Defant, M. Mastylo, C. Michels).

Applications of Banach space theory to sectorial operators (N. Kalton).

Derivations from Banach algebras (H.G. Dales).

Homomorphisms of uniform algebras (T.W. Gamelin).

Generic Dynamics and monotone complete C*-algebras (J.D. Maitland Wright).

Linear topological properties of the space of analytic functions on the real line (P. Domański, D. Vogt).

Contribution to the isomorphic classification of Sobolev spaces Lp(k)(&OHgr;)
(1≤p< ∞)
(A. Pelczyński, D. Vogt).

Decomposability and the cyclic behavior of parabolic composition operators (J.H. Shapiro).

Algebras of subnormal operators on the unit polydisc (J. Eschmeier).

An example concerning the local radial Phragmán-Lindelöf condition (R.W. Braun, R. Meise, B.A. Taylor).

Continuity of monotone functions with values in Banach lattices (L. Drewnowski).

Remarks on Gowers' dichotomy (A.M. Pelczar).

Norm attaining operators and James' theorem (M.D. Acosta, J. Becerra Guerrero, M. Ruiz Galán).

The extension theorem for norms on symmetric tensor products of normed spaces (K. Floret).

Remarks on p-summing multipliers (O. Blasco).

Bergman projection on simply connected domains (J. Taskinen).

On isomorphically equivalent extensions of quasi-Banach spaces (J.M.F. Castillo, Y. Moreno).

Integrated trigonometric sine functions (P.J. Miana).

Applications of a result of Aron, Hervés, and Valdivia to the homology of Banach algebras (F. Cabello Sánchez, R. García).

On the ideal structure of some algebras with an Arens product (M. Filali).

Stochastic continuity algebras (B.M. Schreiber).

Hilbert space methods in the theory of Lie triple systems (A.J. Calderón Martín, C. Martín González).

Truncated Hamburger moment problems with constraints (V.M. Adamyan, I.M. Tkachenko).

Fourier-Bessel transformation of measures and singular differential equations (A.B. Muravnik).

A trace theorem for normal boundary conditions (M. Poppenberg).

Operators into Hardy spaces and analytic Pettis integrable functions (F.J. Freniche, J.C. García-Vázquez, L. Rodríguez-Piazza).

The norm problem for elementary operators (M. Mathieu).

Problems on Boolean algebras of projections in locally convex spaces (W.J. Ricker).

Non associative C*-algebras revisited (K. El Amin, A. Morales Campoy, A. Rodríguez Palacios).

Grothendieck's inequalities revisited (A.M. Peralta, A. Rodríguez Palacios).


This Proceedings Volume contains 32 articles on various interesting areas of present-day functional analysis and its applications: Banach spaces and their geometry, operator ideals, Banach and operator algebras, operator and spectral theory, Frechet spaces and algebras, function and sequence spaces. The authors have taken much care with their articles and many papers present important results and methods in active fields of research. Several survey type articles (at the beginning and the end of the book) will be very useful for mathematicians who want to learn "what is going on" in some particular field of research.


Mathematical researchers and educators


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About the Authors

K.D. Bierstedt Author

Affiliations and Expertise

University-Gesamthochschule Paderborn, Paderborn, Germany

J. Bonet Author

Affiliations and Expertise

University of Valencia, Department of Mathematics Aplicada, Valencia, Spain

M. Maestre Author

Affiliations and Expertise

University of Valencia, Departamento de Análisis Matemático, Valencia, Spain

J. Schmets Author

Affiliations and Expertise

University of Liège, Institute of Mathematics, Liège, Belgium