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Entropy, compactness, and the approx...

Carl, Bernd.

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Entropy, compactness, and the approximation of operators

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Entropy, compactness, and the approximation of operators/ Bernd Carl, Irmtraud Stephani.
其他題名:	Entropy, Compactness & the Approximation of Operators
作者:	Carl, Bernd.
其他作者:	Stephani, Irmtraud.
出版者:	Cambridge :Cambridge University Press, : 1990.,
面頁冊數:	x, 277 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Functional analysis. -
電子資源:	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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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.
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650 0 $a Entropy (Information theory) $3 664113
650 0 $a Approximation theory. $3 628068
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