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

Entropy, Compactness and the Approximation of Operators

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Format: Paperback

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Entropy, Compactness and the Approximation of Operators by Bernd Carl

Book 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.

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Book Details

ISBN: 9780521090940
ISBN-10: 0521090946
Format: Paperback
(228mm x 152mm x 16mm)
Pages: 288
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 27-Nov-2008
Country of Publication: United Kingdom

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