Entropy, compactness, and the approximation of operators /
Carl, Bernd,
Entropy, compactness, and the approximation of operators / Entropy, Compactness & the Approximation of Operators Bernd Carl, Irmtraud Stephani. - Cambridge : Cambridge University Press, 1990. - 1 online resource (x, 277 pages) : digital, PDF file(s). - 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.
9780511897467 (ebook)
Functional analysis.
Entropy (Information theory)
Approximation theory.
Operator theory.
QC20.7.F84 / C37 1990
515.7
Entropy, compactness, and the approximation of operators / Entropy, Compactness & the Approximation of Operators Bernd Carl, Irmtraud Stephani. - Cambridge : Cambridge University Press, 1990. - 1 online resource (x, 277 pages) : digital, PDF file(s). - 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.
9780511897467 (ebook)
Functional analysis.
Entropy (Information theory)
Approximation theory.
Operator theory.
QC20.7.F84 / C37 1990
515.7