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. The relation between these results and Löwner’s Theorem is discussed. We also apply these results to complete a proof of the Wegner estimate for continuum models of random Schrödinger operators as given in a 1994 paper by Combes and Hislop.
Citation
Jean-Michel Combes. Peter D. Hislop. "Some trace monotonicity properties and applications." Ann. Funct. Anal. 7 (3) 394 - 401, August 2016. https://doi.org/10.1215/20088752-3605258
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