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Entropy, Compactness and the Approximation of Operators by Bernd Carl
Entropy, Compactness and the Approximation of Operators by Bernd Carl
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Entropy, Compactness and the Approximation of Operators

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Description

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.
Release date NZ
November 27th, 2008
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises
Pages
288
Dimensions
152x229x16
ISBN-13
9780521090940
Product ID
2812890

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Functional analysis & transforms