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Trace Ideals and Their Applications, Second edition
About this Title
Barry Simon, California Institute of Technology, Pasadena, CA
Publication: Mathematical Surveys and Monographs
Publication Year:
2005; Volume 120
ISBNs: 978-0-8218-4988-0 (print); 978-1-4704-1347-7 (online)
DOI: https://doi.org/10.1090/surv/120
MathSciNet review: MR2154153
MSC: Primary 47L20; Secondary 47A40, 47A55, 47B10, 47B36, 47E05, 81Q15, 81U99
ReadershipTable of Contents
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Front/Back Matter
Chapters
- 1. Preliminaries
- 2. Calkin’s theory of operator ideals and symmetrically normed ideals; convergence theorems for $\mathcal {J}_P$
- 3. Trace, determinant, and Lidskii’s theorem
- 4. $f(x)g(-i\nabla )$
- 5. Fredholm theory
- 6. Scattering with a trace condition
- 7. Bound state problems
- 8. Lots of inequalities
- 9. Regularized determinants and renormalization in quantum field theory
- 10. An introduction to the theory on a Banach space
- 11. Borel transforms, the Krein spectral shift, and all that
- 12. Spectral theory of rank one perturbations
- 13. Localization in the Anderson model following Aizenman-Molchanov
- 14. The Xi function