Description

Book Synopsis
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.

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.

Gâteaux Differentiability of Convex Functions and

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      Book details

      Publisher John Wiley & Sons Inc
      Published 23 April 1997
      ISBN-13 9780471168225
      978-0471168225
      ISBN-10 047116822X
      Also in:
      Mathematics Algebraic topology

      Description

      Book Synopsis
      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.

      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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