Progress in functional analysis: proceedings of the International Functional Analysis Meeting on the occasion of the 60th birthday of professor M. Valdivia, Peniscola, Spain, 22-27 October 1990

Klaus D. Bierstedt, José Bonet, John Horváth and Manuel Maestre (Eds.)0444893784, 9780444893789, 9780080872810

This volume includes a collection of research articles in Functional Analysis, celebrating the occasion of Manuel Valdivia’s sixtieth birthday. The papers included in the volume are based on the main lectures presented during the international functional analysis meeting held in Pe#iscola (Valencia, Spain) in October 1990. During his career, Valdivia has made contributions to a wide variety of areas of Functional Analysis and his work has had a profound impact. A thorough appreciation of Valdivia’s work is presented in J. Horvath’s article. In honor of Valdivia’s achievements, this volume presents more than twenty-five papers on topics related to his research (Banach spaces, operator ideals, tensor products, Frechet, (DF) and (LF) spaces, distribution theory, infinite holomorphy etc.). While the majority of papers are research articles, survey articles are also included. The book covers a broad spectrum of interests in today’s Functional Analysis and presents new results by leading specialists in the field.

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Table of contents :
Content:
Edited by
Pages ii-iii

Copyright page
Page iv

Preface
Pages v-vii
K.D. Bierstedt, J. Bonet, J. Horváth, M. Maestre

List of Sponsors and Committees
Page viii

Schedule of Lectures
Pages ix-xiii

List of Participants
Pages xiv-xvii

Protocolo Del Acto De Apertura
Page xviii

Reply of Professor M. Valdivia
Pages xix-xxii

List of Contributors
Pages xxiii-xxv

The Mathematical Works of Manuel Valdivia Original Research Article
Pages 1-55
John Horváth

Regularity properties of (LF)-spaces Original Research Article
Pages 57-84
Dietmar Vogt

Some applications of a decomposition method Original Research Article
Pages 85-95
A. Aytuna, T. Terzioğlu

On the range of the Borel map for classes of non-quasianalytic functions Original Research Article
Pages 97-111
J. Bonet, R. Meise, B.A. Taylor

Biduality in Fréchet and (LB)-spaces Original Research Article
Pages 113-133
Klaus D. Bierstedt, José Bonet

Holomorphic Mappings of Bounded Type on (DF)-Spaces Original Research Article
Pages 135-148
Pablo Galindo, Domingo García, Manuel Maestre

Linearization of Holomorphic Mappings of Bounded Type Original Research Article
Pages 149-162
Jorge Mujica

Spaces of Holomorphic Functions and Germs on Quotients Original Research Article
Pages 163-177
J.M. Ansemil, R.M. Aron, S. Ponte

Automatic Continuity of Intertwiners in Topological Vector Spaces Original Research Article
Pages 179-190
K.B. Laursen

Barrelled function spaces Original Research Article
Pages 191-199
Lech Drewnowski, Miguel Florencio, Pedro J. Paúl

On Distinguished Fréchet Spaces Original Research Article
Pages 201-214
José Bonet, Susanne Dierolf

Prequojections and their duals Original Research Article
Pages 215-232
Giorgio Metafune, Vincenzo B. Moscatelli

Problems from the Pérez Carreras/Bonet Book Original Research Article
Pages 233-237
Stephen A. Saxon

Interior Properties and Fixed Points of Certain Discontinuous Operators Original Research Article
Pages 239-245
W.R. Derrick, L. Nova G.

Functional analytic aspects of geometry. Linear extending of metrics and related problems Original Research Article
Pages 247-257
C. Bessaga

Lototsky-Schnabl operators on the unit interval and degenerate diffusion equations Original Research Article
Pages 259-277
F. Altomare

On Weakly Lindelöf Banach Spaces Original Research Article
Pages 279-291
José Orihuela

Distinguished subsets in Vector Sequence Spaces Original Research Article
Pages 293-306
Fernando Bombal

Weak Topologies on Bounded Sets of a Banach Space. Associated Function Spaces Original Research Article
Pages 307-318
José G. Llavona

Factorization of multilinear operators Original Research Article
Pages 319-331
Jari Taskinen

Complex Geodesics on Convex Domains Original Research Article
Pages 333-365
Seán Dineen, Richard M. Timoney

Continuity of Tensor Product Operators: Between Spaces of Bochner Integrable Functions Original Research Article
Pages 367-381
Andreas Defant, Klaus Floret

Compact convex sets in the two–dimensional complex linear space with the Yost property Original Research Article
Pages 383-392
Ehrhard Behrends

Some Remarks on a Limit Class of Approximation Ideals Original Research Article
Pages 393-403
Fernando Cobos, Thomas Kühn

Some Factorization Properties of Composition Operators Original Research Article
Pages 405-413
Hans Jarchow

Eigenvalues of nuclear operators on Tsirelson spaces Original Research Article
Pages 415-422
Albrecht Pietsch

Absolutely summing surjections from Sobolev spaces in the uniform norm Original Research Article
Pages 423-431
A. Pełczyński, M. Wojciechowski