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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Entropy, Compactness and the Approximation of Operators

Entropy, Compactness and the Approximation of Operators

Carl, Bernd
Stephani, Irmtraud

Paperback

Series: Cambridge Tracts in Mathematics, Book 98

AlgebraCalculus

ISBN10: 0521090946
ISBN13: 9780521090940
Publisher: Cambridge
Published: Nov 27 2008
Pages: 288
Weight: 0.94
Height: 0.65 Width: 6.00 Depth: 9.00
Language: English
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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