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E-book

Title Some topological and geometrical structures in Banach spaces / N. Ghoussoub [and three others]
Published Providence, Rhode Island : American Mathematical Society, 1987
©1987

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Description 1 online resource (123 pages)
Series Memoirs of the American Mathematical Society, 0065-9266 ; Volume 70, Number 378
Memoirs of the American Mathematical Society ; Volume 70, no. 378.
Contents Contents -- 0. Introduction -- I. First class functions around a subset of a Polish space -- A. Characterizations of first class functions around sets -- B. Spaces of continuous functions and convergence around sets -- C. Compact families of first class functions around a subset of a Polish space -- II. Affine and first class functions around a subset of a convex compact -- III. Dentability and related notions in Banach spaces -- A. Some geometrical properties of subsets of Banach spaces -- B. Extension of the above properties to operators
IV. Operators from L[sup(1)][0,1] into Banach spacesA. The structure of the positive face of the unit ball of L[sup(1)] -- B. Equimeasurable sets and Radon-Nikodym operators -- C. Sets of small oscillation and strongly regular operators -- D. Sets of regular oscillation and regular operators -- V. A characterization of strongly regular Banach spaces -- VI. On w*-regular sets in dual Banach spaces -- A. On the topological structure of w*-regular sets -- B. w*-regularity and the w*-Radon-Nikodym property -- C. Regular w*-compact convex sets
Notes "November 1987, Volume 70, Number 378 (end of volume)."
Bibliography Includes bibliographical references
Notes English
Print version record
Subject Banach spaces.
Convexity spaces.
Banach spaces -- Radon-Nikodym property.
Banach spaces
Banach spaces -- Radon-Nikodym property
Convexity spaces
Form Electronic book
Author Ghoussoub, N. (Nassif), 1953- author.
ISBN 9781470407988
1470407981