Basic Operator Theory / Edition 1

Basic Operator Theory / Edition 1

by Israel Gohberg, Seymour Goldberg
     
 

ISBN-10: 0817642625

ISBN-13: 9780817642624

Pub. Date: 07/27/2001

Publisher: Birkhauser Verlag

Basic Operator Theory provides an introduction to functional analysis with an emphasis on the theory of linear operators and its application to differential and integral equations, approximation theory, and numerical analysis. A textbook designed for senior undergraduate and graduate students, Basic Operator Theory begins with the geometry of Hilbert space and

…  See more details below

Overview

Basic Operator Theory provides an introduction to functional analysis with an emphasis on the theory of linear operators and its application to differential and integral equations, approximation theory, and numerical analysis. A textbook designed for senior undergraduate and graduate students, Basic Operator Theory begins with the geometry of Hilbert space and proceeds to the spectral theory for compact self-adjoint operators with a wide range of applications. Part of the volume is devoted to Banach spaces and operators acting on these spaces.

Presented as a natural continuation of linear algebra, Basic Operator Theory provides a firm foundation in operator theory, an essential part of mathematical training for students of mathematics, engineering, and other technical sciences.

Product Details

ISBN-13:
9780817642624
Publisher:
Birkhauser Verlag
Publication date:
07/27/2001
Edition description:
1st ed. 1981. 1st softcover printing 2001
Pages:
304
Product dimensions:
0.64(w) x 6.14(h) x 9.21(d)

Table of Contents

Introduction
Ch. IHilbert Spaces1
Ch. IIBounded Linear Operators on Hilbert Spaces51
Ch. IIISpectral Theory of Compact Self Adjoint Operators105
Ch. IVSpectral Theory of Integral Operators131
Ch. VOscillations of an Elastic String153
Ch. VIOperational Calculus with Applications159
Ch. VIISolving Linear Equations by Iterative Methods173
Ch. VIIIFurther Developments of the Spectral Theorem181
Ch. IXBanach Spaces193
Ch. XLinear Operators on a Banach Space211
Ch. XICompact Operators on a Banach Spaces237
Ch. XIINon Linear Operators255
App. 1Countable Sets and Separable Hilbert Spaces265
App. 2Lebesgue Integration and L[subscript P] Spaces267
App. 3Proof of the Hahn-Banach Theorem273
App. 4Proof of the Closed Graph Theorem277
Suggested Reading280
References281
Index282

Read More

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >