Trace inequalities for completely monotone functions and Bernstein functions

Details Trace inequalities for completely monotone functions and Bernstein functions Trace inequalities for completely monotone functions and Bernstein functions

2011-09-14

arxiv.org/abs/1109.3057v1

Mathematics

Functional Analysis

16 pages

Scientific paper

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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