Singular spectral shift is additive
Spectral Theory
2018-12-21 v2 Functional Analysis
Abstract
In this note it is shown that for trace-class perturbations of self-adjoint operators the singular part of the spectral shift function is additive.
Keywords
Cite
@article{arxiv.1008.2847,
title = {Singular spectral shift is additive},
author = {Nurulla Azamov},
journal= {arXiv preprint arXiv:1008.2847},
year = {2018}
}
Comments
Proof of the theorem in this paper contains a mistake. See in this regard section 8.3 of my paper [arXiv:0810.2072] "Absolutely continuous and singular spectral shift functions" in Diss. Math. vol. 480, 2011