Some Applications of the Spectral Shift Operator
Spectral Theory
2007-05-23 v1
Abstract
The recently introduced concept of a spectral shift operator is applied in several instances. Explicit applications include Krein's trace formula for pairs of self-adjoint operators, the Birman-Solomyak spectral averaging formula and its operator-valued extension, and an abstract approach to trace formulas based on perturbation theory and the theory of self-adjoint extensions of symmetric operators.
Keywords
Cite
@article{arxiv.math/9903186,
title = {Some Applications of the Spectral Shift Operator},
author = {Fritz Gesztesy and Konstantin A. Makarov},
journal= {arXiv preprint arXiv:math/9903186},
year = {2007}
}
Comments
LaTeX, 27 pages