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Trace Ideals and Their Applications
Abstract
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.
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Citations
Cited by
The Theory of Quantum Information
Watrous, J. (2018) · doi:10.1017/9781316848142 · Cited by 1,325
Connes, A. (1988) · NATO ASI Series · doi:10.1007/978-1-4613-0729-7_3 · Cited by 717
Quantum Speed Limit for Non-Markovian Dynamics
Deffner, S., & Lutz, E. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.010402 · Cited by 511
Quasi-entropies for finite quantum systems
Petz, D. (1986) · Reports on Mathematical Physics · doi:10.1016/0034-4877(86)90067-4 · Cited by 500
Derivation of the nonlinear Schrödinger equation from a many-body Coulomb system
Erdős, L., & Yau, H.-T. (2001) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.2001.v5.n6.a6 · Cited by 257
Metadata
- Authors
- Simon, B.
- Venue
- Mathematical Surveys and Monographs
- Publisher
- American Mathematical Society
- Published
- 2010-03-17
- ISSN
- 0885-4653 (ISSN-L)
- 0076-5376
- 2331-7159
- OpenAlex
- W1597741994
- Cited by
- 1,976
- References
- 0
- FWCI
- 24.45
- Type
- book
- Language
- en
- Open access
- closed
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