Infinite Matrices and their Finite Sections An Introduction to the Limit Operator Method
Title:
Infinite Matrices and their Finite Sections An Introduction to the Limit Operator Method
Author:
Lindner, Marko. author.
ISBN:
9783764377670
Personal Author:
Physical Description:
XV, 191 p. 12 illus. online resource.
Series:
Frontiers in Mathematics,
Contents:
Preliminaries -- Invertibility at Infinity -- Limit Operators -- Stability of the Finite Section Method.
Abstract:
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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Electronic Access:
http://dx.doi.org/10.1007/978-3-7643-7767-0