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Entropy, Compactness and the Approximation of Operators

by Bernd Carl , Irmtraud Stephani
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Current price ₹3,716.00
Original price ₹5,716.00
Original price ₹5,716.00
Original price ₹5,716.00
(-35%)
₹3,716.00
Current price ₹3,716.00

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Book cover type: Paperback
  • ISBN13: 9780521090940
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date: N/A
  • Pages: 288
  • Original Price: GBP 46.0
  • Language: English
  • Edition: N/A
  • Item Weight: 427 grams
  • BISAC Subject(s): Calculus

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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