Includes bibliographical references (pages 185-191) and index.
CONTENTS NOTE
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Preliminaries -- Invertibility at Infinity -- Limit Operators -- Stability of the Finite Section Method.
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SUMMARY OR 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.