Third Order Trace Formula
Functional Analysis
2012-07-17 v1
Abstract
In (J. Funct. Anal. 257, 1092-1132 (2009)), Dykema and Skripka showed the existence of higher order spectral shift functions when the unperturbed self-adjoint operator is bounded and the perturbations is Hilbert-Schmidt. In this article, we give a different proof for the existence of spectral shift function for the third order when the unperturbed operator is self-adjoint (bounded or unbounded, but bounded below).
Keywords
Cite
@article{arxiv.1207.3500,
title = {Third Order Trace Formula},
author = {Arup Chattopadhyay and Kalyan B. Sinha},
journal= {arXiv preprint arXiv:1207.3500},
year = {2012}
}
Comments
26 pages