Recent Progress in Functional Analysis, Proceedings of the International Functional Analysis Meeting on the Occasion of the 70th Birthday of Professor Manuel Valdivia

Klaus D. Bierstedt, José Bonet, Manuel Maestre and Jean Schmets (Eds.)044450219X, 9780585474311, 9780444502193

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.

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Table of contents :
Content:
Preface
Pages v-vii
Klaus D. Bierstedt, José Bonet, Manuel Maestre, Jean Schmets

International functional analysis meeting on the Occasion of the 70th Birthday of Professor M. Valdivia Valencia, Spain, 3–7 July 2000: a Satellite Conference to the Third European Congress of Mathematics in Barcelona
Pages viii-x

International functional analysis meeting on the Occasion of the 70th Birthday of Professor M. Valdivia Valencia, Spain, 3–7 July 2000
Pages xi-xiv

List of the special sessions with the Session Organizers
Pages xv-xviii

Schedule of the Special Session geometry and structure of banach spaces
Pages xix-xxix

Schedule of the poster sessions
Pages xxx-xxxi

International functional analysis meeting on the Occasion of the 70th Birthday of Professor M. Valdivia Valencia, Spain, 3–7 July 2000
Pages xxxii-xxxviii

List of contributors
Pages xxxix-xli

The Mathematical Works of Manuel Valdivia, II Original Research Article
Pages 1-17
Jean Schmets

Fréchet differentiability of lipschitz functions (a survey) Original Research Article
Pages 19-42
J. Lindenstrauss, D. Preiss

Summing inclusion maps between symmetric sequence spaces, a survey Original Research Article
Pages 43-60
Andreas Defant, Mieczysław Mastyło, Carsten Michels

Applications of Banach space theory to sectorial operators Original Research Article
Pages 61-74
Nigel Kalton

Derivations from Banach algebras Original Research Article
Pages 75-94
H.G. Dales

Homomorphisms of Uniform Algebras Original Research Article
Pages 95-105
T.W. Gamelin

Generic Dynamics and Monotone Complete C*-Algebras Original Research Article
Pages 107-112
JD Maitland Wright

Linear topological properties of the space of analytic functions on the real line Original Research Article
Pages 113-132
P. Domański, D. Vogt

Contribution to the isomorphic classification of Sobolev spaces L(k)p(Ω) (1 ≤ p ≤ ∞){*} Original Research Article
Pages 133-142
Aleksander Pelczyński, Michal Wojciechowski

Decomposability and the cyclic behavior of parabolic composition operators Original Research Article
Pages 143-157
Joel H. Shapiro

Algebras of subnormal operators on the unit polydisc Original Research Article
Pages 159-171
J. Eschmeier

An example concerning the local radial Phragmén-Lindelöf condition Original Research Article
Pages 173-184
Rüdiger W. Braun, Reinhold Meise, B.A. Taylor

Continuity of monotone functions with values in Banach lattices Original Research Article
Pages 185-199
Lech Drewnowski

Remarks on Gowers’ dichotomy Original Research Article
Pages 201-213
Anna Maria Pelczar

Norm attaining operators and James’ Theorem Original Research Article
Pages 215-224
M.D. Acosta, J. Becerra Guerrero, M. Ruiz Galán

The extension theorem for norms on symmetric tensor products of normed spaces Original Research Article
Pages 225-237
Klaus Floret

Remarks on p-summing multipliers. Original Research Article
Pages 239-254
Oscar Blasco

Bergman projection on simply connected domains Original Research Article
Pages 255-261
J. Taskinenxf*

On isomorphically equivalent extensions of quasi-Banach spaces Original Research Article
Pages 263-272
Jesús M.F. Castillo, Yolanda Moreno

Integrated Trigonometric Sine Functions Original Research Article
Pages 273-282
Pedro J. Miana

Applications of a result of Aron, Hervés, and Valdivia to the homology of Banach algebras Original Research Article
Pages 283-288
Félix Cabello Sanchez, Ricardo García

On the ideal structure of some algebras with an Arens product Original Research Article
Pages 289-297
Mahmoud Filali

Stochastic continuity algebras Original Research Article
Pages 299-307
Bertram M. Schreiber

Hilbert space methods in the theory of Lie triple systems Original Research Article
Pages 309-319
A.J. Calderón Martín, C. Martin Gonzalez

Truncated Hamburger moment problems with constraints Original Research Article
Pages 321-333
Vadym M. Adamyan, Igor M. Tkachenko

Fourier-Bessel transformation of measures and singular differential equations Original Research Article
Pages 335-345
A.B. Muravnik

A trace theorem for normal boundary conditions Original Research Article
Pages 347-348
Markus Poppenberg

Operators into Hardy spaces and analytic Pettis integrable functions Original Research Article
Pages 349-362
Francisco J. Preniche, Juan Carlos Garcia-Vazquez, Luis Rodriguez-Piazza

The norm problem for elementary operators Original Research Article
Pages 363-368
Martin Mathieu

Problems on Boolean algebras of projections in locally convex spaces Original Research Article
Pages 369-378
W.J. Ricker

Non associative C*-algebras revisited Original Research Article
Pages 379-408
Kaidi El Amin, Antonio Morales Campoy, Angel Rodriguez Palacios

Grothendieck’s inequalities revisited Original Research Article
Pages 409-423
Antonio M. Peralta, Angel Rodriguez Palacios