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Trace ideals and their applications

Author: Barry Simon
Publisher: Providence, R.I. : American Mathematical Society, ©2005.
Series: Mathematical surveys and monographs, no. 120.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Summary:
"This is a second edition of a well-known book on the theory of trace ideals in the algebra of operators in a Hilbert space. Because of the theory's many different applications, the book was widely used and much in demand. For this second edition, the author has added four chapters on the closely related theory of rank one perturbations of self-adjoint operators. He has also included a comprehensive index and an  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Barry Simon
ISBN: 0821835815 9780821835814 9780821849880 0821849883 9781470413477 1470413477
OCLC Number: 123231844
Description: viii, 150 pages ; 27 cm.
Contents: Ch. 1. Preliminaries --
Ch. 2. Calkin's theory of operator ideals and symmetrically normed ideals; convergence theorems for J[subscript P] --
Ch. 3. Trace, determinant, and Lidskii's theorem --
Ch. 4. f(x)g(-i[actual symbol not reproducible]) --
Ch. 5. Fredholm theory --
Ch. 6. Scattering with a trace condition --
Ch. 7. Bound state problems --
Ch. 8. Lots of inequalities --
Ch. 9. Regularized determinants and renormalization in quantum field theory --
Ch. 10. An introduction to the theory on a Banach space --
Ch. 11. Borel transforms, the Krein spectral shift, and all that --
Ch. 12. Spectral theory of rank one perturbations --
Ch. 13. Localization in the Anderson model following Aizenman-Molchanov --
Ch. 14. The Xi function.
Series Title: Mathematical surveys and monographs, no. 120.
Responsibility: Barry Simon.

Abstract:

Contains chapters on the closely related theory of rank one perturbations of self-adjoint operators. This book is suitable for those interested in the theory of trace ideals and in its applications  Read more...

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