Research Catalog

Trace ideals and their applications

Title: Trace ideals and their applications / Barry Simon.
Author: Simon, Barry, 1946-
Publication: Cambridge [England] ; New York : Cambridge University Press, 1979.

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Details

Description

134 pages; 23 cm.

Summary

These expository lectures contain an advanced technical account of a branch of mathematical analysis. In his own lucid and readable style the author begins with a comprehensive review of the methods of bounded operators in a Hilbert space. He then goes on to discuss a wide variety of applications including Fredholm theory and more specifically his own specialty of mathematical quantum theory. included also are an extensive and up-to-date list of references enabling the reader to delve more deeply into this topical subject.

Series Statement

London Mathematical Society lecture note series ; 35

Uniform Title

London Mathematical Society lecture note series ; 35.

Subject

Note

"Based on a series of lectures given at the Mathematics Department of the University of Texas at Austin in April 1977."
Includes index.

Bibliography (note)

Bibliography: p. 120-131.

Contents

Preliminaries -- Calkin's theory of operator ideals and symmetrically normed ideals; convergence theorems for g[subscript p] -- Trace, determinant and Lidskii's theorem -- f(x)g( -i[nabla/del]) -- Fredholm theory -- Scattering with a trace condition -- Bound state problems -- Lots if inequalities -- Regularized determinants and renormalization in quantum field theory -- An introduction to the theory on a Banach space.

ISBN

0521222869
9780521222860
0521222809
9780521222808
052122280X

LCCN

78020867
3446694

OCLC

ocm04516040
4516040
SCSB-277015

Owning Institutions

Princeton University Library