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Basic Classes of Linear Operators - Prof. Israel Gohberg

Paperback

Published: 24th October 2003
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This book provides an introduction to functional analysis with an emphasis on the theory of linear operators and its application to differential equations, integral equations, infinite systems of linear equations, approximation theory, and numerical analysis. As textbook designed for senior undergraduate and graduate students, it begins with the geometry of Hilbert spaces and proceeds to the theory of linear operators on these spaces including Banach spaces. Presented as a natural continuation of linear algebra, the book provides a firm foundation in operator theory which is an essential part of mathematical training for students of mathematics, engineering, and other technical sciences.Enriched new version of the book "Basic Operator Theory" by I. Gohberg and S. Goldberg (0-8176-4262-5).

"With a name like GohbergGoldbergKaashoek, it has got to be good. But let me count the ways. If you are interested in learning the basic theories of Hilbert and Banach spaces together with the well-known operators that act on them, this book is for you. It is intended for advanced undergraduate and beginning graduate students in mathematics.... The volume is actually a second edition of Basic Operator Theory by Gohberg and Goldberg.... Exercises and examples have been added.... The text is well written, clear, and readable.... A student at the specified level will have no difficulty understanding the presentation."

SIAM Review

 

"The material is presented in a very clear way, emphasizing concepts over technical generalities. Another pleasant feature of the book is the large number of examples and exercises. In summary, the authors have successfully found an interesting way from the elementary level to some of the highlights of operator theory."

- Monatshefte fr Mathematik 

Introduction
Hilbert Spaces
Bounded Linear Operators on Hilbert Spaces
Laurent and Toeplitz Operators on Hilbert Spaces
Spectral Theory of Compact Self-Adjoint Operators
Spectral Theory of Integral Operators
Unbounded Operators on Hilbert Spaces
Oscillations of an Elastic String
Operational Calculus with Applications
Solving Linear Equations by Iterative Methods
Further Developments of the Spectral Theorem
Banach Spaces
Linear Operators Banach Spaces
Compact Operators on Banach Spaces
Poincara© Operators: Determinant and Trace
Fredholm Operators
Toeplitz and Singular Integral Operators
Nonlinear Operators
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783764369309
ISBN-10: 3764369302
Audience: General
Format: Paperback
Language: English
Number Of Pages: 423
Published: 24th October 2003
Publisher: Birkhauser Verlag AG
Country of Publication: CH
Dimensions (cm): 23.85 x 16.97  x 2.24
Weight (kg): 0.84