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Entropy, compactness, and the approx...

Carl, Bernd.

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Entropy, compactness, and the approximation of operators

Record Type:	Electronic resources : Monograph/item
Title/Author:	Entropy, compactness, and the approximation of operators/ Bernd Carl, Irmtraud Stephani.
remainder title:	Entropy, Compactness & the Approximation of Operators
Author:	Carl, Bernd.
other author:	Stephani, Irmtraud.
Published:	Cambridge :Cambridge University Press, : 1990.,
Description:	x, 277 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Functional analysis. -
Online resource:	https://doi.org/10.1017/CBO9780511897467
ISBN:	9780511897467

Entropy, compactness, and the approximation of operators
Carl, Bernd.

Entropy, compactness, and the approximation of operators[electronic resource] /Entropy, Compactness & the Approximation of OperatorsBernd Carl, Irmtraud Stephani. - Cambridge :Cambridge University Press,1990. - x, 277 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;98. - Cambridge tracts in mathematics ;98..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9780511897467Subjects--Topical Terms:

531838
Functional analysis.

LC Class. No.: QC20.7.F84 / C37 1990

Dewey Class. No.: 515.7

Entropy, compactness, and the approximation of operators
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020 $a 9780521330114 $q (hardback)
020 $a 9780521090940 $q (paperback)
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090 $a QC20.7.F84 $b C278 1990
100 1 $a Carl, Bernd. $3 3470426
245 1 0 $a Entropy, compactness, and the approximation of operators $h [electronic resource] / $c Bernd Carl, Irmtraud Stephani.
246 3 $a Entropy, Compactness & the Approximation of Operators
260 $a Cambridge : $b Cambridge University Press, $c 1990.
300 $a x, 277 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 98
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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.
650 0 $a Functional analysis. $3 531838
650 0 $a Entropy (Information theory) $3 664113
650 0 $a Approximation theory. $3 628068
650 0 $a Operator theory. $3 542531
700 1 $a Stephani, Irmtraud. $3 3470427
830 0 $a Cambridge tracts in mathematics ; $v 98. $3 3470428
856 4 0 $u https://doi.org/10.1017/CBO9780511897467