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portada Entropy, Compactness and the Approximation of Operators (Cambridge Tracts in Mathematics)
Type
Physical Book
Year
2008
Language
English
Pages
288
Format
Paperback
Dimensions
22.9x15.2x1.7 cm
Weight
0.43 kg.
ISBN
0521090946
ISBN13
9780521090940
Edition No.
1

Entropy, Compactness and the Approximation of Operators (Cambridge Tracts in Mathematics)

Bernd Carl (Author) · Irmtraud Stephani (Author) · Cambridge University Press · Paperback

Entropy, Compactness and the Approximation of Operators (Cambridge Tracts in Mathematics) - Carl, Bernd ; Stephani, Irmtraud

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Synopsis "Entropy, Compactness and the Approximation of Operators (Cambridge Tracts in Mathematics) "

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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