Progress in Functional Analysis

K.D. Bierstedt, J. Bonet, J. Horváth, M. Maestre

• Publisher: North Holland
• Year: 1992
• Print ISBN: 9780444893789
• eBook ISBN: 9780080872810
• Topic: Biological Sciences
• Subtopic: Science General
• Index: Biological Sciences

This volume includes a collection of research articles inFunctional Analysis, celebrating the occasion of Manuel Valdivia'ssixtieth birthday. The papers included in the volume are basedon the main lectures presented during the internationalfunctional analysis meeting held in Peñíscola(Valencia, Spain) in October 1990.During his career, Valdiviahas made contributions to a wide variety of areas of FunctionalAnalysis and his work has had a profound impact. A thoroughappreciation of Valdivia's work is presented in J.Horváth'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, Fréchet, (DF) and (LF) spaces, distribution theory, infinite holomorphyetc.). 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

• Front Cover
• Progress in Functional Analysis
• Copyright Page
• 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
• Chapter 1. The Mathematical Works of Manuel Valdivia
• Chapter 2. Regularity Properties of (LF)-spaces
• Chapter 3. Some Applications of a Decomposition Method
• Chapter 4. On the Mange of the Borel Map for Classes of Non-quasianalytic functions
• Chapter 5. Biduality in Fréchiet and (LB)-spaces
• Chapter 6. Holomorphic Mappings of Bounded Type on (DF)-Spaces
• Chapter 7. Linearization of Hololomorphic Mappings of Dounded Type
• Chapter 8. Spaces of Holomorphic Functions and Germs on Quotients
• Chapter 9. Automatic Continuity of Intertwiners in Topological Vector Spaces
• Chapter 10. Barrelled Function Spaces
• Chapter 11. On Distinguished Fréchet Spaces
• Chapter 12. Prequojections and Their Duals
• Chapter 13. Problems From the Pérez Carreras/bonet Book
• Chapter 14. Interior Properties and Fixed Points of Certain Discontinuous Operators
• Chapter 15. Functional Alytic Aspects of Geometry. Linear Extending of retrics and Related Problems
• Chapter 16. Lototsky-Schnabl Operators on the Unit Interval and Degenerate Diffusion Equations
• Chapter 17. On weakly Lindel öf Banach Spaces
• Chapter 18. Distinguished Subsets in Vector Sequence Spaces
• Chapter 19. Weak Topologies on Bounded Sets of a Banach Space. Associated Function Spaces
• Chapter 20. Factorization of Multilinear Operators
• Chapter 21. Complex Geodesics on Convex Domains
• Chapter 22. Continuity of Tensor Product Operators Between Spaces of Bochner Integrable Functions
• Chapter 23. Compact Convex Sets in the two-Dimensional Complex linear space with the Yost Property
• Chapter 24. Some Remarks on a limit class of Approximation Ideals
• Chapter 25. Some Factorization Propertics of Composition Operators
• Chapter 26. Eigenvalues of Nuclear Operators on Tsirelson Spaces
• Chapter 27. Absolutely Summing Surjections from Sobolev Spaces in the Uniform Norm