Description
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 Peñíscola
(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.
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 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.
Chapter
List of Contributors
pp.:
24 – 30
Table of Contents
pp.:
28 – 6
Chapter 1. The Mathematical Works of Manuel Valdivia
pp.:
30 – 86
Chapter 2. Regularity Properties of (LF)-spaces
pp.:
86 – 114
Chapter 3. Some Applications of a Decomposition Method
pp.:
114 – 126
Chapter 4. On the Mange of the Borel Map for Classes of Non-quasianalytic functions
pp.:
126 – 142
Chapter 5. Biduality in Fréchiet and (LB)-spaces
pp.:
142 – 164
Chapter 6. Holomorphic Mappings of Bounded Type on (DF)-Spaces
pp.:
164 – 178
Chapter 7. Linearization of Hololomorphic Mappings of Dounded Type
pp.:
178 – 192
Chapter 8. Spaces of Holomorphic Functions and Germs on Quotients
pp.:
192 – 208
Chapter 9. Automatic Continuity of Intertwiners in Topological Vector Spaces
pp.:
208 – 220
Chapter 10. Barrelled Function Spaces
pp.:
220 – 230
Chapter 11. On Distinguished Fréchet Spaces
pp.:
230 – 244
Chapter 12. Prequojections and Their Duals
pp.:
244 – 262
Chapter 13. Problems From the Pérez Carreras/bonet Book
pp.:
262 – 268
Chapter 14. Interior Properties and Fixed Points of Certain Discontinuous Operators
pp.:
268 – 276
Chapter 15. Functional Alytic Aspects of Geometry. Linear Extending of retrics and Related Problems
pp.:
276 – 288
Chapter 16. Lototsky-Schnabl Operators on the Unit Interval and Degenerate Diffusion Equations
pp.:
288 – 308
Chapter 17. On weakly Lindel öf Banach Spaces
pp.:
308 – 322
Chapter 18. Distinguished Subsets in Vector Sequence Spaces
pp.:
322 – 336
Chapter 19. Weak Topologies on Bounded Sets of a Banach Space. Associated Function Spaces
pp.:
336 – 348
Chapter 20. Factorization of Multilinear Operators
pp.:
348 – 362
Chapter 21. Complex Geodesics on Convex Domains
pp.:
362 – 396
Chapter 22. Continuity of Tensor Product Operators Between Spaces of Bochner Integrable Functions
pp.:
396 – 412
Chapter 23. Compact Convex Sets in the two-Dimensional Complex linear space with the Yost Property
pp.:
412 – 422
Chapter 24. Some Remarks on a limit class of Approximation Ideals
pp.:
422 – 434
Chapter 25. Some Factorization Propertics of Composition Operators
pp.:
434 – 444
Chapter 26. Eigenvalues of Nuclear Operators on Tsirelson Spaces
pp.:
444 – 452
Chapter 27. Absolutely Summing Surjections from Sobolev Spaces in the Uniform Norm
pp.:
452 – 462