Research Catalog

Details

Description

1. 134 pages; 23 cm.

Summary

1. 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

1. London Mathematical Society lecture note series ; 35

Uniform title

1. London Mathematical Society lecture note series ; 35.

Subject

1. Operator
2. Operator theory
3. Hilbert space
4. Ideals (Algebra)
5. Mathematical physics
6. 31.46 functional analysis
7. Hilbert-Raum
8. Ideal Mathematik
9. Ideal
10. Idealtheorie
11. Operatortheorie
12. Hilbertruimten
13. Operatortheorie
14. Idealen (wiskunde)
15. Mathematische fysica

Contents

1. 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.

Owning institution

1. Princeton University Library

Note

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

Bibliography (note)

1. Bibliography: p. 120-131.