Entropy, Compactness and the Approximation of Operators
Book Details
Format
Paperback / Softback
Book Series
Cambridge Tracts in Mathematics
ISBN-10
0521090946
ISBN-13
9780521090940
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Nov 27th, 2008
Print length
288 Pages
Weight
430 grams
Dimensions
22.90 x 15.20 x 1.60 cms
Product Classification:
Functional analysis & transformsFunctional analysis and transforms
Ksh 8,650.00
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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.
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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