Trace Ideals and Their Applications

Publisher:

American Mathematical Society

Publication Date:

2005

Number of Pages:

150

Format:

Hardcover

Edition:

2

Series:

Mathematical Surveys and Monographs 120

Price:

49.00

ISBN:

0-8218-3581-5

Category:

Monograph

We do not plan to review this book.

Preliminaries
Calkin's theory of operator ideals and symmetrically normed ideals; convergence theorems for $\mathcal J_P$
Trace, determinant, and Lidskii's theorem
$f(x)g(-i\nabla)$
Fredholm theory
Scattering with a trace condition
Bound state problems
Lots of inequalities
Regularized determinants and renormalization in quantum field theory
An introduction to the theory on a Banach space
Borel transforms, the Krein spectral shift, and all that
Spectral theory of rank one perturbations
Localization in the Anderson model following Aizenman-Molchanov
The Xi function
Addenda
Bibliography
Index