| Document Type
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BL
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| Record Number
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1042514
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| Doc. No
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b796884
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| Main Entry
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Lindner, Marko,1973-
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| Title & Author
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Infinite matrices and their finite sections : : an introduction to the limit operator method /\ Marko Lindner.
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| Publication Statement
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Basel ;Boston :: Birkhäuser,, ©2006.
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| Series Statement
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Frontiers in mathematics
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| Page. NO
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1 online resource (xv, 191 pages) :: illustrations
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| ISBN
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3764377666
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: 3764377674
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: 9783764377663
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: 9783764377670
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| Bibliographies/Indexes
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Includes bibliographical references (pages 185-191) and index.
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| Contents
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Preliminaries -- Invertibility at Infinity -- Limit Operators -- Stability of the Finite Section Method.
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| Abstract
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In this book we are concerned with the study of a certain class of in?nite matrices and two important properties of them: their Fredholmness and the stability of the approximation by their?nite truncations. Let us take these two properties as a starting point for the big picture that shall be presented in what follows. Stability Fredholmness We think of our in?nite matrices as bounded linear operators on a Banach space E of two-sided in?nite sequences. Probably the simplest case to start with 2 +? is the space E = of all complex-valued sequences u=(u) for which m m=?? 2.
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| Subject
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Infinite matrices.
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Integral equations.
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Linear operators.
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Numerical analysis.
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| Subject
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Infinite matrices.
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Integral equations.
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Linear operators.
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MATHEMATICS-- Functional Analysis.
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| Subject
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Numerical analysis.
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| Subject
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Infinite matrices.
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| Subject
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Integral equations.
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| Subject
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Linear operators.
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| Subject
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Numerical analysis.
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| Dewey Classification
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515/.724
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| LC Classification
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QA188.L564 2006eb
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| NLM classification
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O151. 21clc
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