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Handbook of the geometry of Banach spaces. Volume 1

Author: W B Johnson; Joram Lindenstrauss
Publisher: Amsterdam ; New York : Elsevier/North Holland, 2001.
Edition/Format:   eBook : Document : English : 1st edView all editions and formats
Summary:
The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Handbook of the geometry of Banach spaces. Volume 1.
Amsterdam ; New York : Elsevier/North Holland, 2001
(OCoLC)48507063
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: W B Johnson; Joram Lindenstrauss
ISBN: 9780080532806 0080532802
OCLC Number: 175291337
Description: 1 online resource (1 volume)
Contents: Basic concepts in the geometry of Banach spaces (W.B. Johnson, J. Lindenstrauss); Positive operators (Y.A. Abramovitch, C.D. Aliprantis); Lp spaces (D. Alspach, E. Odell); Convex geometry and functional analysis (K. Ball); A p -sets in analysis: Results, problems and related aspects (J. Bourgain); Martingales and singular integrals in Banach spaces (D.L. Burkholder); Approximation properties (P.G. Casazza); Local operator theory, random matrices and Banach spaces (K.R. Davidson, S.J. Szarek); Applications to mathematical finance (F. Delbaen); Perturbed minimization principles and applications (R. Deville, N. Ghoussoub); Operator ideals (J. Diestel, H. Jarchow, A. Pietsch); Special Banach lattices and their applications(S.J. Dilworth); Some aspects of the invariant subspace problem (P. Enflo, V. Lomonosov); Special bases in function spaces (T. Figel, P. Wojtaszczyk); Infinite dimensional convexity (V. Fonf, J. Lindenstrauss, R.R. Phelps); Uniform algebras as Banach spaces (T.W. Gamelin, S.V. Kisliakov); Euclidean structure in finite dimensional normed spaces (A.A. Giannopoulos, V.D. Milman); Renormings of Banach spaces (G. Godefroy); Finite dimensional subspaces of Lp (W.B. Johnson, G. Schechtman); Banach spaces and classical harmonic analysis (S.V. Kisliakov); Aspects of the isometric theory of Banach spaces (A. Koldobsky, H. Konig); Eigenvalues of operators and applications (H. Konig);
Responsibility: edited by W.B. Johnson, J. Lindenstrauss.

Abstract:

The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations. The Handbook begins with a chapter on basic c.

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