Trace inequalities for completely monotone functions and Bernstein functions

Published 14 Sep 2011 in math.FA | (1109.3057v1)

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

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