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

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

by Marian J. Fabian, Marin J. Fabian
     
 

ISBN-10: 047116822X

ISBN-13: 9780471168225

Pub. Date: 04/11/1997

Publisher: Wiley

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

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 Series , #26
Pages:
180
Product dimensions:
6.34(w) x 9.53(h) x 0.79(d)

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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