Infinite Matrices and their Finite Sections

Name: Infinite Matrices and their Finite Sections
Brand: Birkhauser Verlag AG
SKU: 9783764377663
Price: 21723 HUF
Availability: InStock

An Introduction to the Limit Operator Method

Szerző: Marko Lindner

Nyelv:

Kötés: Puha kötésű

Kiadó: Birkhauser Verlag AG

Elérhetőség: Beszállítói készleten

Küldés 5-8 napon belül

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This book is an introduction to a fascinating topic at the interface of functional analysis, algebra...

Információk a könyvről

Szerző

Marko Lindner

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2006

oldal

191

EAN

9783764377663

ISBN

3764377666

Enbook ID

01716885

Kiadó

Birkhauser Verlag AG

Súly

375

Méretek

170 x 240 x 12

Teljes leírás

This book is an introduction to a fascinating topic at the interface of functional analysis, algebra and numerical analysis, written for a broad audience of students, researchers and practitioners. It is concerned with the study of infinite matrices and their approximation by matrices of finite size. Our framework includes the simplest, important case where the matrix entries are numbers, but also the more general case where the entries are bounded linear operators. This ensures that examples of the class of operators studied - band-dominated operators on Lebesgue function spaces and sequence spaces - are ubiquitous in mathematics and physics.§The main items and concepts studied are band-dominated operators, invertibility at infinity, Fredholmness, the method of 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.§The main audience for this book are people concerned with large finite matrices and their infinite counterparts, for example in numerical linear algebra and mathematical physics. More generally, the book will be of interest to those working in operator theory and applications, for example studying integral operators or the application of operator algebra methods. While some basic knowledge of functional analysis would be helpful, the presentation contains relevant preliminary material and is largely self-contained.

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Infinite Matrices and their Finite Sections

An Introduction to the Limit Operator Method

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Teljes leírás

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Azok a vásárlók, akik ezt a könyvet megvásárolták, a következőket is megvásárolták