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Basic Classes of Linear Operators - Prof. Israel Gohberg

Paperback Published: 24th October 2003
ISBN: 9783764369309
Number Of Pages: 423

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The present book is an expanded and enriched version ofthe textBasicOperator Theory, written by the first two authors more than twenty years ago. Since then the three ofus have used the basic operator theory text in various courses. This experience motivated us to update and improve the old text by including a wider variety ofbasic classes ofoperators and their applications. The present book has also been written in such a way that it can serve as an introduction to our previous booksClassesofLinearOperators, Volumes I and II. We view the three books as a unit. We gratefully acknowledge the support of the mathematical departments of Tel-Aviv University, the University of Maryland at College Park, and the Vrije Universiteit atAmsterdam. The generous support ofthe Silver Family Foundation is highly appreciated. Amsterdam, November 2002 The authors Introduction This elementary text is an introduction to functional analysis, with a strong emphasis on operator theory and its applications. It is designed for graduate and senior undergraduate students in mathematics, science, engineering, and other fields.

"With a name like Gohberg-Goldberg-Kaashoek, 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 fur 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