Gâteaux Differentiability of Convex Functions and Topology: Weak Asplund Spaces / Edition 1

Gâteaux Differentiability of Convex Functions and Topology: Weak Asplund Spaces / Edition 1

by Marián J. Fabian
ISBN-10:
047116822X
ISBN-13:
9780471168225
Pub. Date:
04/11/1997
Publisher:
Wiley
ISBN-10:
047116822X
ISBN-13:
9780471168225
Pub. Date:
04/11/1997
Publisher:
Wiley
Gâteaux Differentiability of Convex Functions and Topology: Weak Asplund Spaces / Edition 1

Gâteaux Differentiability of Convex Functions and Topology: Weak Asplund Spaces / Edition 1

by Marián J. Fabian

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Overview

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.

Product Details

ISBN-13: 9780471168225
Publisher: Wiley
Publication date: 04/11/1997
Series: Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts , #26
Pages: 180
Product dimensions: 6.34(w) x 9.53(h) x 0.79(d)

About the Author

Marián J. Fabian is the author of Gateaux Differentiability of Convex Functions and Topology: Weak Asplund Spaces, published by Wiley.

Table of Contents

Canonical Examples of Weak Asplund Spaces.

Properties of Gateaux Differentiability Spaces and Weak AsplundSpaces.

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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