Singular spectral shift and Pushnitski $\mu$-invariant
Spectral Theory
2010-09-21 v1 Mathematical Physics
Functional Analysis
math.MP
Abstract
In this paper it is shown that in case of trace class perturbations the singular part of Pushnitski -invariant does not depend on the angle variable. This gives an alternative proof of integer-valuedness of the singular part of the spectral shift function. As a consequence, the Birman-Krein formula for trace class perturbations follows.
Keywords
Cite
@article{arxiv.1009.3726,
title = {Singular spectral shift and Pushnitski $\mu$-invariant},
author = {Nurulla Azamov},
journal= {arXiv preprint arXiv:1009.3726},
year = {2010}
}
Comments
42 pages