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9780521090940

Entropy, Compactness and the Approximation of Operators

by
  • ISBN13:

    9780521090940

  • ISBN10:

    0521090946

  • Edition: 1st
  • Format: Paperback
  • Copyright: 2008-11-27
  • Publisher: Cambridge University Press

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Summary

Entropy quantities are connected with the 'degree of compactness' of compact or precompact spaces, and so are appropriate tools for investigating linear and compact operators between Banach spaces. The main intention of this Tract is to study the relations between compactness and other analytical properties, e.g. approximability and eigenvalue sequences, of such operators. The authors present many generalized results, some of which have not appeared in the literature before. In the final chapter, the authors demonstrate that, to a certain extent, the geometry of Banach spaces can also be developed on the basis of operator theory. All mathematicians working in functional analysis and operator theory will welcome this work as a reference or for advanced graduate courses.

Table of Contents

Entropy quantities
Approximation quantities
Inequalities of Bernstein-Jackson type
Inequalities of Berstein-Jackson type
A refined Riesz theory
Operators with values in C(X)
Operator theoretical methods in the local theory of Banach spaces
Table of Contents provided by Publisher. All Rights Reserved.

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