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arXiv · 1506.05383

Some trace monotonicity properties and applications

J. -M. Combes·P. D. Hislop
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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 Schrödinger operators as given in \cite{co-hi1}.

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J. -M. Combes, P. D. Hislop. 2015-06-17. Some trace monotonicity properties and applications. https://doi.org/10.1215/20088752-3605258

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