Some trace monotonicity properties and applications
Functional Analysis
2016-09-14 v1 Mathematical Physics
math.MP
Abstract
We present some results on the monotonicity of some traces involving functions of self-adjoint operators with respect to the natural ordering of their associated quadratic forms. We also apply these results to complete a proof of the Wegner estimate for continuum models of random Schr\"odinger operators as given in \cite{co-hi1}.
Cite
@article{arxiv.1506.05383,
title = {Some trace monotonicity properties and applications},
author = {J. -M. Combes and P. D. Hislop},
journal= {arXiv preprint arXiv:1506.05383},
year = {2016}
}