Progress in Functional Analysis: Proceedings of the International Functional Analysis Meeting on the Occasion of the 60th Birthday of Professor M. V

by International Functional Analysis Meeting (1990 Peniscola, Spain); Bonet, Jose; Horvath, John; Bierstedt, Klaus D.; Valdivia, Manuel

• ISBN13: 9780444893789
• ISBN10: 0444893784
• Format: Hardcover
• Copyright: 1992-01-01
• Publisher: Elsevier Science Ltd

Summary

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 Pentilde;iacute;scola (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. Horvaacute;th'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, Freacute;chet, (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.

Table of Contents

Preface
List of Sponsors and Committees
Schedule of Lectures
List of Participants
Protocolo Del Acto De Apertura
Reply of Professor M. Valdivia
List of Contributors
The mathematical works of Manuel Valdivia	p. 1
Regularity properties of (LF)-spaces	p. 57
Some applications of a decomposition method	p. 85
On the range of the Borel map for classes of non-quasianalytic functions	p. 97
Biduality in Frechet and (LB)-spaces	p. 113
Holomorphic mappings of bounded type on (DF)-spaces	p. 135
Linearization of holomorphic mappings of bounded type	p. 149
Spaces of holomorphic functions and germs on quotients	p. 163
Automatic continuity of intertwiners in topological vector spaces	p. 179
Barrelled function spaces	p. 191
On distinguished Frechet spaces	p. 201
Prequojections and their duals	p. 215
Problems from the Perez Carreras/Bonet book	p. 233
Interior properties and fixed points of certain discontinuous operators	p. 239
Functional analytic aspects of geometry. Linear extending of metrics and related problems	p. 247
Lototsky-Schnabl operators on the unit interval and degenerate diffusion equations	p. 259
On weakly Lindelof Banach spaces	p. 279
Distinguished subsets in vector sequence spaces	p. 293
Weak topologies on bounded sets of a Banach space. Associated function spaces	p. 307
Factorization of multilinear operators	p. 319
Complex geodesics on convex domains	p. 333
Continuity of tensor product operators between spaces of Bochner integrable functions	p. 367
Compact convex sets in the two-dimensional complex linear space with the Yost property	p. 383
Some remarks on a limit class of approximation ideals	p. 393
Some factorization properties of composition operators	p. 405
Eigenvalues of nuclear operators on Tsirelson spaces	p. 415
Absolutely summing surjections from Sobolev spaces in the uniform norm	p. 423
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