Trace inequalities for completely monotone functions and Bernstein functions

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.

16 pages

Cited by in corpus (2)

• Problems and Conjectures in Matrix and Operator Inequalities
• An Araki-Lieb-Thirring inequality for geometrically concave and geometrically convex functions