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

Hilbert Space

Compact Operators and the Trace Theorem

Hardcover

Published: 30th July 1993
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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.

"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

Preliminaries
Orthogonality
Isomorphisms and isometries
Bounded linear operators
Elementary spectral theory
Self-adjoint operators
Compact operators on Hilbert space
Square roots
The weak Weyl inequality
Hilbert-Schmidt and trace class operators
The Lidskij trace theorem
Bibliography
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521418843
ISBN-10: 0521418844
Series: London Mathematical Society Student Texts
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 144
Published: 30th July 1993
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.3
Weight (kg): 0.39