Infinite Matrices and their Finite Sections : An Introduction to the Limit Operator Method

Lindner, Marko

ISBN 10: 3764377666 / ISBN 13: 9783764377663

Published by Birkhauser 2006-08, 2006

About this Item

Seller Inventory # 6666-IUK-9783764377663

Bibliographic Details

• Title: Infinite Matrices and their Finite Sections : An Introduction to the Limit Operator Method
• Publisher: Birkhauser 2006-08
• Publication Date: 2006
• Language: English
• ISBN 10: 3764377666
• ISBN 13: 9783764377663
• Binding: PF
• Condition: New

About this title

Synopsis

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 Schrödinger operators and integral and boundary integral operators arising in mathematical physics and engineering.

Review

From the reviews:

“The book under review introduces the reader to one of the central themes concerning infinite matrices: approximation by matrices of finite size. It is written for a broad audience starting with graduate students in mathematics and above. ... It is more introductory in nature and provides a very accessible summary of core themes, which are helpful in understanding properties of infinite matrices like Fredholmness, invertibility at infinity, stability and limit operators.” (G. Feichtinger, Monatshefte für Mathematik, Vol. 159 (4), March, 2010)