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arXiv · 1109.3057

Trace inequalities for completely monotone functions and Bernstein functions

Koenraad M. R. Audenaert
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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.

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Koenraad M. R. Audenaert. 2011-09-14. Trace inequalities for completely monotone functions and Bernstein functions. https://arxiv.org/abs/1109.3057

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