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Gateaux Differentiability of Convex Functions and Topology: Weak Asplund Spaces (Chemical Analysis)

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Gateaux Differentiability of Convex Functions and Topology: Weak Asplund Spaces (Chemical Analysis) Cover

ISBN13: 9780471168225
ISBN10: 047116822x
Condition:
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Synopses & Reviews

Publisher Comments:

This text puts together "folklore results" touching weak Asplund spaces. It presents a thorough examination of weak Asplund cases. Nonseparable Banach spaces, renorming, and differentiability are stressed throughout the text and all subclasses, including inferences and counterexamples are discussed. It also covers Stegall's classes, fragmentability, and "long sequences" of linear projections. Notes, remarks and questions end each chapter.

Book News Annotation:

Presents results and the many open questions related to weak Asplund spaces, which unlike their stronger siblings, have proven elusive and difficult to study. Discusses Asplund spaces, Asplund generated spaces, weakly compactly generated spaces, Vasak spaces, and Banach spaces whose dual belong to Stegall's class, and the relations between them. Also considers various classes of topological spaces, include Eberlein, Gul'ko, Radon-Nikodym compacta, and fragmentabilty. For functional analysts working with nonseparable Banach spaces and differentiability.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Table of Contents

Canonical Examples of Weak Asplund Spaces.

Properties of Gateaux Differentiability Spaces and Weak Asplund Spaces.

Stegall's Classes.

Two More Concrete Classes of Banach Spaces that Lie in .

Fragmentability.

"Long Sequences" of Linear Projections.

Vaak Spaces and Gul'ko Compacta.

A Characterization of WCG Spaces and of Eberlein Compacta.

Main Open Questions and Problems.

References.

Index.

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hoangloi, August 24, 2006 (view all comments by hoangloi)
Gateaux Differentiability of Convex Functions and Topology: Weak Asplund Spaces (Chemical Analysis)


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Product Details

ISBN:
9780471168225
Author:
Fabian, Marian J.
Publisher:
Wiley-Interscience
Author:
&
Author:
Mari
Author:
aacute
Author:
Fabian
Author:
n J. Fabian
Author:
#225
Author:
Fabian, Marin J.
Author:
Fabian, Mari
Author:
n J.
Subject:
Transformations
Subject:
Convex functions
Subject:
Asplund spaces
Subject:
General Mathematics
Subject:
Mathematics - Advanced
Subject:
Mathematics Special Topics
Copyright:
Edition Description:
WOL online Book (not BRO)
Series:
Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts
Series Volume:
26
Publication Date:
April 1997
Binding:
HARDCOVER
Grade Level:
Professional and scholarly
Language:
English
Pages:
180
Dimensions:
242 x 161 x 20 mm 20 oz

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Related Subjects

Science and Mathematics » Chemistry » Physical Chemistry
Science and Mathematics » Mathematics » Advanced
Science and Mathematics » Mathematics » Topology

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