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Analysis of Toeplitz Operators / by Albrecht Böttcher, Bernd Silbermann
(Springer Monographs in Mathematics. ISSN:21969922)

2nd ed. 2006.
出版者 (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年 2006
本文言語 英語
大きさ XIV, 665 p. 15 illus : online resource
著者標目 *Böttcher, Albrecht author
Silbermann, Bernd author
SpringerLink (Online service)
件 名 LCSH:Operator theory
LCSH:Functional analysis
LCSH:Mathematical physics
LCSH:Probabilities
FREE:Operator Theory
FREE:Functional Analysis
FREE:Theoretical, Mathematical and Computational Physics
FREE:Probability Theory
一般注記 Auxiliary Material -- Basic Theory -- Symbol Analysis -- Toeplitz Operators on H2 -- Toeplitz Operators on Hp -- Toeplitz Operators on ?p -- Finite Section Method -- Toeplitz Operators over the Quarter-Plane -- Wiener-Hopf Integral Operators -- Toeplitz Determinants
Since the late 1980s, Toeplitz operators and matrices have remained a ?eld of extensive research and the development during the last nearly twenty years is impressive. One encounters Toeplitz matrices in plenty of applications on the one hand, and Toeplitz operators con?rmed their role as the basic elementary building blocks of more complicated operators on the other. Several monographs on Toeplitz and Hankel operators were written d- ing the last decade. These include Peller’s grandiose book on Hankel ope- tors and their applications and Nikolski’s beautiful easy reading on operators, functions, and systems, with emphasis on topics connected with the names of Hardy, Hankel, and Toeplitz. They also include books by the authors together withHagen,Roch,Yu.Karlovich,Spitkovsky,Grudsky,andRabinovich.Thus, results, techniques, and developments in the ?eld of Toeplitz operators are now well presented in the monographic literature. Despite these competitive works, we felt that large parts of the ?rst edition of the present monograp- whichismeanwhileoutofstock-havenotlosttheirfascinationandrelevance. Moreover, the ?rst edition has received a warm reception by many colleagues and became a standard reference. This encouraged us to venture on thinking about a second edition, and we are grateful to the Springer Publishing House for showing an interest in this
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ISBN 9783540324362

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