Entropy, Compactness and the Approximation of Operators (Cambridge Tracts in Mathematics, Series Number 98) - Softcover

Carl, Bernd; Stephani, Irmtraud

 
9780521090940: Entropy, Compactness and the Approximation of Operators (Cambridge Tracts in Mathematics, Series Number 98)

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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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.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9780521330114: Entropy, Compactness and the Approximation of Operators (Cambridge Tracts in Mathematics, Series Number 98)

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ISBN 10:  0521330114 ISBN 13:  9780521330114
Publisher: Cambridge University Press, 1990
Hardcover