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Progress in Functional Analysis

1st Edition - January 10, 1992

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

eBook ISBN:

9 7 8 - 0 - 0 8 - 0 8 7 2 8 1 - 0

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… Read more

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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.

The mathematical works of Manuel Valdivia (J. Horváth).
Regularity properties of (LF)-spaces (D. Vogt). Some
applications of a decomposition method (A. Aytuna, T.
Terzioğlu). On the range of the Borel map for classes
of non-quasianalytic functions (J. Bonet, R. Meise, B.A.
Taylor). Biduality in Fréchet and (LB)-spaces (K.D.
Bierstedt, J. Bonet). Holomorphic mappings of bounded type on
(DF)-spaces (P. Galindo, D. García, M. Maestre).
Linearization of holomorphic mappings of bounded type (J.
Mujica). Spaces of holomorphic functions and germs on
quotients (J.M. Ansemil, R.M. Aron, S. Ponte). Automatic
continuity of intertwiners in topological vector spaces (K.B.
Laursen). Barrelled function spaces (L. Drewnowski, M.
Florencio, P.J. Paúl). On distinguished Fréchet
spaces (J. Bonet, S. Dierolf). Prequojections and their duals
(G. Metafune, V.B. Moscatelli). Problems from the Pérez
Carreras/Bonet book (S.A. Saxon). Interior properties and
fixed points of certain discontinuous operators (W.R. Derrick,
L. Nova G.). Functional analytic aspects of geometry. Linear
extending of metrics and related problems (C. Bessaga).
Lotosky-Schnabl operators on the unit interval and degenerate
diffusion equations (F. Altomare). On weakly Lindelöf
Banach spaces (J. Orihuela). Distinguished subsets in vector
sequence spaces (F. Bombal). Weak topologies on bounded sets
of a Banach space. Associated function spaces (J.G. Llavona).
Factorization of multilinear operators (J. Taskinen). Complex
geodesics on convex domains (S. Dineen, R.M. Timoney).
Continuity of tensor product operators between spaces of
Bochner integrable functions (A. Defant, K. Floret). Compact
convex sets in the two-dimensional complex linear space with
the Yost property (E. Behrends). Some remarks on a limit class
of approximation ideals (F. Cobos, T. Kühn). Some
factorization properties of composition operators (H.
Jarchow). Eigenvalues of nuclear operators on Tsirelson spaces
(A. Pietsch). Absolutely summing surjections from Sobolev
spaces in the uniform norm (A. Pelczyński, M.
Wojciechowski).