Trace inequalities for completely monotone functions and Bernstein functions
Functional Analysis
2013-04-23 v1
Abstract
We prove a matrix trace inequality for completely monotone functions and for Bernstein functions. As special cases we obtain non-trivial trace inequalities for the power function x->x^q, which for certain values of q complement McCarthy's trace inequality and for others strenghten it.
Keywords
Cite
@article{arxiv.1109.3057,
title = {Trace inequalities for completely monotone functions and Bernstein functions},
author = {Koenraad M. R. Audenaert},
journal= {arXiv preprint arXiv:1109.3057},
year = {2013}
}
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16 pages