Progress in Functional Analysis

Progress in Functional Analysis

1st Edition - January 10, 1992

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  • Editors: K.D. Bierstedt, J. Bonet, J. Horváth, M. Maestre
  • eBook ISBN: 9780080872810

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Description

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

  • 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).

Product details

  • No. of pages: 430
  • Language: English
  • Copyright: © North Holland 1992
  • Published: January 10, 1992
  • Imprint: North Holland
  • eBook ISBN: 9780080872810

About the Editors

K.D. Bierstedt

Affiliations and Expertise

University of Paderborn, Germany

J. Bonet

Affiliations and Expertise

Technical University of Valencia, Spain

J. Horváth

Affiliations and Expertise

University of Maryland, College Park, MD, USA

M. Maestre

Affiliations and Expertise

University of Valencia, Spain

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