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Hilbert Space: Compact Operators & the Trace Theorem

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Hilbert Space: Compact Operators & the Trace Theorem Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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. Many exercises and hints are included, and throughout the emphasis is on a user-friendly approach.

Synopsis:

A virtually self-contained treatment of Hilbert space theory which is suitable for advanced undergraduates and graduate students.

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.

Product Details

ISBN:
9780521418843
Author:
Retherford, J. R.
Publisher:
Cambridge University Press
Author:
Retherford, James R.
Author:
Series, C. M.
Location:
Cambridge
Subject:
Differential Equations
Subject:
Probability
Subject:
Hilbert space
Subject:
Transformations
Subject:
Probability & Statistics - General
Subject:
Mathematics - Advanced
Series:
Cambridge Studies in Social and Cultural Anthropology
Series Volume:
27
Publication Date:
19930731
Binding:
Hardcover
Grade Level:
Professional and scholarly
Language:
English
Pages:
144
Dimensions:
9.00x6.00x.50 in. .85 lbs.

Related Subjects

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» Science and Mathematics » Mathematics » Calculus » General
» Science and Mathematics » Mathematics » Differential Equations
» Science and Mathematics » Mathematics » Probability and Statistics » General
» Science and Mathematics » Mathematics » Probability and Statistics » Statistics
» Science and Mathematics » Physics » Astrophysics

Hilbert Space: Compact Operators & the Trace Theorem New Hardcover
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Product details 144 pages Cambridge University Press - English 9780521418843 Reviews:
"Synopsis" by , 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. Many exercises and hints are included, and throughout the emphasis is on a user-friendly approach.
"Synopsis" by , A virtually self-contained treatment of Hilbert space theory which is suitable for advanced undergraduates and graduate students.
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