简介
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 theinternational functional analysis meeting held in Peñíscola (Valencia, Spain) in October 1990.During his career, Valdivia has made contributions toa wide variety of areas of Functional Analysis and his work has had a profound impact. A thorough appreciation ofValdivia'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 tohis research (Banach spaces, operator ideals, tensor products, Fréchet, (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.
目录
Table of Contents 28
Preface 6
List of Sponsors and Committees 9
Schedule of Lectures 10
List of Participants 16
Protocolo Del Acto de Apertura 19
Reply of Professor M.Valdivia 20
List of Contributors 24
Chapter 1. The Mathematical Works of Manuel Valdivia 30
Chapter 2. Regularity Properties of (LF)-spaces 86
Chapter 3. Some Applications of a Decomposition Method 114
Chapter 4. On the Mange of the Borel Map for Classes of Non-quasianalytic functions 126
Chapter 5. Biduality in Fr茅chiet and (LB)-spaces 142
Chapter 6. Holomorphic Mappings of Bounded Type on (DF)-Spaces 164
Chapter 7. Linearization of Hololomorphic Mappings of Dounded Type 178
Chapter 8. Spaces of Holomorphic Functions and Germs on Quotients 192
Chapter 9. Automatic Continuity of Intertwiners in Topological Vector Spaces 208
Chapter 10. Barrelled Function Spaces 220
Chapter 11. On Distinguished Fr茅chet Spaces 230
Chapter 12. Prequojections and Their Duals 244
Chapter 13. Problems From the P茅rez Carreras/bonet Book 262
Chapter 14. Interior Properties and Fixed Points of Certain Discontinuous Operators 268
Chapter 15. Functional Alytic Aspects of Geometry. Linear Extending of retrics and Related Problems 276
Chapter 16. Lototsky-Schnabl Operators on the Unit Interval and Degenerate Diffusion Equations 288
Chapter 17. On weakly Lindel 枚f Banach Spaces 308
Chapter 18. Distinguished Subsets in Vector Sequence Spaces 322
Chapter 19. Weak Topologies on Bounded Sets of a Banach Space. Associated Function Spaces 336
Chapter 20. Factorization of Multilinear Operators 348
Chapter 21. Complex Geodesics on Convex Domains 362
Chapter 22. Continuity of Tensor Product Operators Between Spaces of Bochner Integrable Functions 396
Chapter 23. Compact Convex Sets in the two-Dimensional Complex linear space with the Yost Property 412
Chapter 24. Some Remarks on a limit class of Approximation Ideals 422
Chapter 25. Some Factorization Propertics of Composition Operators 434
Chapter 26. Eigenvalues of Nuclear Operators on Tsirelson Spaces 444
Chapter 27. Absolutely Summing Surjections from Sobolev Spaces in the Uniform Norm 452
Preface 6
List of Sponsors and Committees 9
Schedule of Lectures 10
List of Participants 16
Protocolo Del Acto de Apertura 19
Reply of Professor M.Valdivia 20
List of Contributors 24
Chapter 1. The Mathematical Works of Manuel Valdivia 30
Chapter 2. Regularity Properties of (LF)-spaces 86
Chapter 3. Some Applications of a Decomposition Method 114
Chapter 4. On the Mange of the Borel Map for Classes of Non-quasianalytic functions 126
Chapter 5. Biduality in Fr茅chiet and (LB)-spaces 142
Chapter 6. Holomorphic Mappings of Bounded Type on (DF)-Spaces 164
Chapter 7. Linearization of Hololomorphic Mappings of Dounded Type 178
Chapter 8. Spaces of Holomorphic Functions and Germs on Quotients 192
Chapter 9. Automatic Continuity of Intertwiners in Topological Vector Spaces 208
Chapter 10. Barrelled Function Spaces 220
Chapter 11. On Distinguished Fr茅chet Spaces 230
Chapter 12. Prequojections and Their Duals 244
Chapter 13. Problems From the P茅rez Carreras/bonet Book 262
Chapter 14. Interior Properties and Fixed Points of Certain Discontinuous Operators 268
Chapter 15. Functional Alytic Aspects of Geometry. Linear Extending of retrics and Related Problems 276
Chapter 16. Lototsky-Schnabl Operators on the Unit Interval and Degenerate Diffusion Equations 288
Chapter 17. On weakly Lindel 枚f Banach Spaces 308
Chapter 18. Distinguished Subsets in Vector Sequence Spaces 322
Chapter 19. Weak Topologies on Bounded Sets of a Banach Space. Associated Function Spaces 336
Chapter 20. Factorization of Multilinear Operators 348
Chapter 21. Complex Geodesics on Convex Domains 362
Chapter 22. Continuity of Tensor Product Operators Between Spaces of Bochner Integrable Functions 396
Chapter 23. Compact Convex Sets in the two-Dimensional Complex linear space with the Yost Property 412
Chapter 24. Some Remarks on a limit class of Approximation Ideals 422
Chapter 25. Some Factorization Propertics of Composition Operators 434
Chapter 26. Eigenvalues of Nuclear Operators on Tsirelson Spaces 444
Chapter 27. Absolutely Summing Surjections from Sobolev Spaces in the Uniform Norm 452
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