Limit Operators and Their Applications in Operator Theory (Operator Theory: Advances and Applications, 150)

Rabinovich, Vladimir; Roch, Steffen; Silbermann, Bernd

ISBN 10: 3764370815 ISBN 13: 9783764370817

Editorial: Birkhäuser, 2004

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Sinopsis:

The book is devoted to a class of operators which occurs in almost every part of mathematics: band and band-dominated operators on spaces of vector-valued sequences. The main emphasis is on Fredholm theory for these operators, and the main tool to study this topic is the method of limit operators. Applications are presented to several important classes of such operators: convolution type operators, pseudodifferential and pseudodifference operators.

Rese�a del editor:

This is the first monograph devoted to a fairly wide class of operators, namely band and band-dominated operators and their Fredholm theory. The main tool in studying this topic is limit operators. Applications are presented to several important classes of such operators: convolution type operators and pseudo-differential operators on bad domains and with bad coefficients.

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T�tulo: Limit Operators and Their Applications in ...
Editorial: Birkh�user
A�o de publicaci�n: 2004
Encuadernaci�n: Encuadernaci�n de tapa dura
Condici�n: New

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Limit Operators and Their Applications in Operator Theory

Vladimir Rabinovich|Steffen Roch|Bernd Silbermann

Publicado por Birkh�user Basel, 2004

ISBN 10: 3764370815 ISBN 13: 9783764370817

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Condici�n: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First monograph devoted to the limit operators method, including the study of general band-dominated operators and their Fredholm theoryThis is the first monograph devoted to a fairly wide class of operators, namely band and band-dominated ope. N� de ref. del art�culo: 5279593

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Limit Operators and Their Applications in Operator Theory

Vladimir Rabinovich (u. a.)

Publicado por Birkh�user Basel, 2004

ISBN 10: 3764370815 ISBN 13: 9783764370817

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Limit Operators and Their Applications in Operator Theory (Operator Theory: Advances and Applications, 150)

Rabinovich, Vladimir; Roch, Steffen; Silbermann, Bernd

Publicado por Birkh�user, 2004

ISBN 10: 3764370815 ISBN 13: 9783764370817

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Librería: Lucky's Textbooks, Dallas, TX, Estados Unidos de America

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Condici�n: New. N� de ref. del art�culo: ABLIING23Apr0316110059074

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Limit Operators and Their Applications in Operator Theory

Vladimir Rabinovich

Publicado por Birkh�user Basel, 2004

ISBN 10: 3764370815 ISBN 13: 9783764370817

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Librería: AHA-BUCH GmbH, Einbeck, Alemania

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Buch. Condici�n: Neu. Druck auf Anfrage Neuware - Printed after ordering - This text has two goals. It describes a topic: band and band-dominated operators and their Fredholm theory, and it introduces a method to study this topic: limit operators. Band-dominated operators. Let H = [2(Z) be the Hilbert space of all squared summable functions x : Z -+ Xi provided with the norm 2 2 X IIxl1 :=L I iI . iEZ It is often convenient to think of the elements x of [2(Z) as two-sided infinite sequences (Xi)iEZ. The standard basis of [2(Z) is the family of sequences (ei)iEZ where ei = (. . . ,0,0, 1,0,0, . . . ) with the 1 standing at the ith place. Every bounded linear operator A on H can be described by a two-sided infinite matrix (aij)i,jEZ with respect to this basis, where aij = (Aej, ei)' The band operators on H are just the operators with a matrix representation of finite band-width, i. e. , the operators for which aij = 0 whenever Ii - jl > k for some k. Operators which are in the norm closure ofthe algebra of all band operators are called band-dominated. Needless to say that band and band dominated operators appear in numerous branches of mathematics. Archetypal examples come from discretizations of partial differential operators. It is easy to check that every band operator can be uniquely written as a finite sum L dkVk where the d are multiplication operators (i. e. N� de ref. del art�culo: 9783764370817

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Limit Operators and Their Applications in Operator Theory

Vladimir Rabinovich

Publicado por Birkh�user Basel, Birkh�user Basel Jun 2004, 2004

ISBN 10: 3764370815 ISBN 13: 9783764370817

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Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania

Calificaci�n del vendedor: 5 de 5 estrellas

Buch. Condici�n: Neu. Neuware -This text has two goals. It describes a topic: band and band-dominated operators and their Fredholm theory, and it introduces a method to study this topic: limit operators. Band-dominated operators. Let H = [2(Z) be the Hilbert space of all squared summable functions x : Z -+ Xi provided with the norm 2 2 X IIxl1 :=L I iI . iEZ It is often convenient to think of the elements x of [2(Z) as two-sided infinite sequences (Xi)iEZ. The standard basis of [2(Z) is the family of sequences (ei)iEZ where ei = (. . . ,0,0, 1,0,0, . . . ) with the 1 standing at the ith place. Every bounded linear operator A on H can be described by a two-sided infinite matrix (aij)i,jEZ with respect to this basis, where aij = (Aej, ei)' The band operators on H are just the operators with a matrix representation of finite band-width, i. e. , the operators for which aij = 0 whenever Ii - jl > k for some k. Operators which are in the norm closure ofthe algebra of all band operators are called band-dominated. Needless to say that band and band dominated operators appear in numerous branches of mathematics. Archetypal examples come from discretizations of partial differential operators. It is easy to check that every band operator can be uniquely written as a finite sum L dkVk where the d are multiplication operators (i. e.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 412 pp. Englisch. N� de ref. del art�culo: 9783764370817

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Limit Operators and Their Applications in Operator Theory

Vladimir Rabinovich

Publicado por Springer, Basel, Birkh�user Basel, Birkh�user Jun 2004, 2004

ISBN 10: 3764370815 ISBN 13: 9783764370817

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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania

Calificaci�n del vendedor: 5 de 5 estrellas

Buch. Condici�n: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This text has two goals. It describes a topic: band and band-dominated operators and their Fredholm theory, and it introduces a method to study this topic: limit operators. Band-dominated operators. Let H = [2(Z) be the Hilbert space of all squared summable functions x : Z -+ Xi provided with the norm 2 2 X IIxl1 :=L I iI . iEZ It is often convenient to think of the elements x of [2(Z) as two-sided infinite sequences (Xi)iEZ. The standard basis of [2(Z) is the family of sequences (ei)iEZ where ei = (. . . ,0,0, 1,0,0, . . . ) with the 1 standing at the ith place. Every bounded linear operator A on H can be described by a two-sided infinite matrix (aij)i,jEZ with respect to this basis, where aij = (Aej, ei)' The band operators on H are just the operators with a matrix representation of finite band-width, i. e. , the operators for which aij = 0 whenever Ii - jl > k for some k. Operators which are in the norm closure ofthe algebra of all band operators are called band-dominated. Needless to say that band and band dominated operators appear in numerous branches of mathematics. Archetypal examples come from discretizations of partial differential operators. It is easy to check that every band operator can be uniquely written as a finite sum L dkVk where the d are multiplication operators (i. e. 392 pp. Englisch. N� de ref. del art�culo: 9783764370817

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