Singular spectral shift is additive
arXiv:1008.2847
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.
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