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Trace Ideals and Their Applications

Barry Simon
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

Dummy View - NOT TO BE DELETED