Limit Operators and Their Applications in Operator Theory: 150 (Operator Theory: Advances and Applications) - Hardcover
Synopsis
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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Limit Operators and Their Applications in Operator Theory (Operator Theory: Advances and Applications, 150)
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Limit Operators and Their Applications in Operator Theory
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Limit Operators and Their Applications in Operator Theory
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Condition: New. 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. . . . . Seller Inventory # V9783764370817
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Limit Operators and Their Applications in Operator Theory
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Condition: New. Print on Demand pp. xv + 392. Seller Inventory # 5460690
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Limit Operators and Their Applications in Operator Theory
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Gebunden. Condition: 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. Seller Inventory # 5279593
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Limit Operators and Their Applications in Operator Theory
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Condition: New. PRINT ON DEMAND pp. xv + 392. Seller Inventory # 182419975
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Limit Operators and Their Applications in Operator Theory
Seller: Kennys Bookstore, Olney, MD, U.S.A.
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Condition: New. 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. Seller Inventory # V9783764370817
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Limit Operators and Their Applications in Operator Theory (Operator Theory: Advances and Applications)
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Limit Operators and Their Applications in Operator Theory
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Springer, Basel, Birkhäuser, 2004
ISBN 10: 3764370815
ISBN 13: 9783764370817
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Seller: AHA-BUCH GmbH, Einbeck, Germany
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Buch. Condition: 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. Seller Inventory # 9783764370817