Limit Operators and Their Applications in Operator Theory

Rabinovitch, Vladimir; Roch, Steffen; Silbermann, Bernd

ISBN 10: 3764370815 ISBN 13: 9783764370817

Edit� par Birkhauser Verlag AG, 2004

Neuf(s) Couverture rigide

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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. Series: Operator Theory: Advances and Applications. Num Pages: 407 pages, biography. BIC Classification: PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 25. Weight in Grams: 880. . 2004. Hardback. . . . . Books ship from the US and Ireland. N� de r�f. du vendeur V9783764370817

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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.

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Titre : Limit Operators and Their Applications in ...
�diteur : Birkhauser Verlag AG
Date d'�dition : 2004
Reliure : Couverture rigide
Etat : New

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

Rabinovich, Vladimir; Roch, Steffen; Silbermann, Bernd

Edit� par Birkh�user, 2004

ISBN 10 : 3764370815 ISBN 13 : 9783764370817

Neuf Couverture rigide

Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni

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Etat : New. In. N� de r�f. du vendeur ria9783764370817_new

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Limit Operators and Their Applications in Operator Theory

Vladimir Rabinovich|Steffen Roch|Bernd Silbermann

Edit� par Birkh�user Basel, 2004

ISBN 10 : 3764370815 ISBN 13 : 9783764370817

Neuf Couverture rigide

Vendeur : moluna, Greven, Allemagne

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Gebunden. Etat : New. 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 r�f. du vendeur 5279593

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Limit Operators and Their Applications in Operator Theory

Rabinovitch Vladimir Bernd Silbermann Steffen Roch Vladimir Rabinovich

Edit� par Springer, 2004

ISBN 10 : 3764370815 ISBN 13 : 9783764370817

Neuf Couverture rigide

Vendeur : Books Puddle, New York, NY, Etats-Unis

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Etat : New. pp. xv + 392. N� de r�f. du vendeur 262419981

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Limit Operators and Their Applications in Operator Theory

Vladimir Rabinovich

Edit� par Springer, Basel, Birkh�user, 2004

ISBN 10 : 3764370815 ISBN 13 : 9783764370817

Neuf Couverture rigide

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Buch. Etat : 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. N� de r�f. du vendeur 9783764370817

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