Limit Operators and their Applications in Operator Theory (Operator Theory: Advances and Applications, 150, Band 150) - Softcover

Rabinovich, Vladimir

9783034896191: Limit Operators and their Applications in Operator Theory (Operator Theory: Advances and Applications, 150, Band 150)

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ISBN 10: 3034896190 ISBN 13: 9783034896191

Verlag: Springer, 2004

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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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Verlag: Springer
Erscheinungsdatum: 2004
Sprache: Englisch
ISBN 10: 3034896190
ISBN 13: 9783034896191
Einband: Taschenbuch
Anzahl der Seiten: 412
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9783764370817: Limit Operators and Their Applications in Operator Theory (Operator Theory: Advances and Applications, 150, Band 150)

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ISBN 10: 3764370815 ISBN 13: 9783764370817
Verlag: Birkh�user, 2004
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Limit Operators and Their Applications in Operator Theory

Vladimir Rabinovich

Verlag: Springer, Basel, Birkh�user Basel, Birkh�user Okt 2012, 2012

ISBN 10: 3034896190 ISBN 13: 9783034896191

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Taschenbuch. Zustand: 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. Bestandsnummer des Verk�ufers 9783034896191

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Limit Operators and Their Applications in Operator Theory

Vladimir Rabinovich|Steffen Roch|Bernd Silbermann

Verlag: Birkh�user Basel, 2012

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Zustand: 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. Bestandsnummer des Verk�ufers 4319432

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

Rabinovich, Vladimir; Roch, Steffen; Silbermann, Bernd

Verlag: Birkh�user, 2012

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Limit Operators and Their Applications in Operator Theory

Vladimir Rabinovitch Bernd Silbermann Steffen Roch

Verlag: Springer, 2012

ISBN 10: 3034896190 ISBN 13: 9783034896191

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Zustand: New. pp. 412. Bestandsnummer des Verk�ufers 2697859498

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Limit Operators and Their Applications in Operator Theory

Vladimir Rabinovich (u. a.)

Verlag: Birkh�user, 2012

ISBN 10: 3034896190 ISBN 13: 9783034896191

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Limit Operators and Their Applications in Operator Theory

Vladimir Rabinovich

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ISBN 10: 3034896190 ISBN 13: 9783034896191

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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. 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 Nature c/o IBS, Benzstrasse 21, 48619 Heek 412 pp. Englisch. Bestandsnummer des Verk�ufers 9783034896191

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Limit Operators and Their Applications in Operator Theory

Rabinovitch Vladimir Silbermann Bernd Roch Steffen

Verlag: Springer, 2012

ISBN 10: 3034896190 ISBN 13: 9783034896191

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Zustand: New. Print on Demand pp. 412 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Bestandsnummer des Verk�ufers 94537845

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Limit Operators and Their Applications in Operator Theory

Vladimir Rabinovich

Verlag: Birkh�user Basel, 2012

ISBN 10: 3034896190 ISBN 13: 9783034896191

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Taschenbuch. Zustand: 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. Bestandsnummer des Verk�ufers 9783034896191

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