Infinite matrices and their finite sections : an introduction to the limit operator method

書誌事項

Infinite matrices and their finite sections : an introduction to the limit operator method

Marko Lindner

(Frontiers in mathematics)

Birkhäuser Verlag, c2006

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注記

Includes bibliographical references (p. [185]-191) and index

内容説明・目次

内容説明

This book is concerned with the study of infinite matrices and their approximation by matrices of finite size. The main concepts presented are invertibility at infinity (closely related to Fredholmness), limit operators, and the stability and convergence of finite matrix approximations. Concrete examples are used to illustrate the results throughout, including discrete Schroedinger operators and integral and boundary integral operators arising in mathematical physics and engineering.

目次

Preliminaries.- Invertibility at Infinity.- Limit Operators.- Stability of the Finite Section Method.

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