# Trace Ideals and Their Applications

Edition:
2
Publisher:
American Mathematical Society
Number of Pages:
150
Price:
49.00
ISBN:
0-8218-3581-5
Thursday, August 18, 2005
Reviewable:
No
Include In BLL Rating:
No
Barry Simon
Series:
Mathematical Surveys and Monographs 120
Publication Date:
2005
Format:
Hardcover
Category:
Monograph

• 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