Title: Entropy, Compactness and the Approximation of Operators (Cambridge Tracts in Mathematics, Series Number 98) (Volume 0)
Publisher: Cambridge University Press
Publication Date: 2008
Language: English
ISBN 10: 0521090946
ISBN 13: 9780521090940
Binding: Soft cover
Condition: New

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Synopsis

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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