Hilbert Space: Compact Operators and the Trace Theorem
The aim of 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. The author assumes the reader is familiar with 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.
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Hilbert Space: Compact Operators and the Trace Theorem
The aim of 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. The author assumes the reader is familiar with 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.
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Hilbert Space: Compact Operators and the Trace Theorem

Hilbert Space: Compact Operators and the Trace Theorem

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

Hilbert Space: Compact Operators and the Trace Theorem

by J. R. Retherford

Paperback

$50.00 
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Overview

The aim of 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. The author assumes the reader is familiar with 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.

Product Details

ISBN-13: 9780521429337
Publisher: Cambridge University Press
Publication date: 07/08/1993
Series: London Mathematical Society Student Texts , #27
Pages: 144
Product dimensions: 6.02(w) x 8.98(h) x 0.67(d)

Table of Contents

1. Preliminaries; 2. Orthogonality; 3. Isomorphisms and isometries; 4. Bounded linear operators; 5. Elementary spectral theory; 6. Self-adjoint operators; 7. Compact operators on Hilbert space; 8. Square roots; 9. The weak Weyl inequality; 10. Hilbert–Schmidt and trace class operators; 11. The Lidskij trace theorem; Bibliography.
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