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Some trace monotonicity properties and applications

Research paper by J. -M. Combes, P. D. Hislop

Indexed on: 17 Jun '15Published on: 17 Jun '15Published in: Mathematics - Functional Analysis



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}.