Hilbert Space : Compact Operators and the Trace Theorem - J. R. Retherford

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Hilbert Space

Compact Operators and the Trace Theorem

By: J. R. Retherford

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Paperback | 6 September 1993

At a Glance

Paperback
144 Pages

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15.4 x 22.8 x 0.9

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Professor Retherford's aim in this book is to provide the reader with a virtually self-contained treatment of Hilbert space theory, leading to an elementary proof of the Lidskij trace theorem. He assumes the reader is familiar with only linear algebra and advanced calculus, and develops everything needed to introduce the ideas of compact, self-adjoint, Hilbert-Schmidt and trace class operators. Many exercises and hints are included, and throughout the emphasis is on a user-friendly approach. Advanced undergraduates and graduate students will find that this book presents a unique introduction to operators and Hilbert space.

Industry Reviews

"Retherford's book...is like a tour to the top of a mountain. Every step is devoted to the final goal, the trace formula...the book is written in a style which reveals the author's enthusiasm. Thus it could be good prpaganda for functional analysis...this is a remarkable book which forces the student to understand mathematics and to be careful." A. Pietsch, Mathematical Reviews

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Probability & Statistics Algebra

Introduction	p. xi
The inequalities of it all	p. 1
Preliminaries	p. 3
Orthogonality	p. 11
Isomorphisms and Isometries	p. 25
Bounded Linear Operators on Hilbert Space	p. 28
Elementary Spectral Theory	p. 36
Self-Adjoint Operators	p. 49
Compact Operators on Hilbert Space	p. 60
Compact Integral Operators	p. 69
Square Roots	p. 70
The Weak Weyl Inequality	p. 78
The Weyl Inequality	p. 87
Hilbert-Schmidt and Trace Class Operators	p. 93
The Lidskij Trace Theorem	p. 109
Localization of Eigenvalues	p. 124
Bibliography	p. 126
Index of Notation	p. 127
Index of Terms	p. 130
Table of Contents provided by Syndetics. All Rights Reserved.

Hilbert Space

Compact Operators and the Trace Theorem

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

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