paper

Lieb type convexity for positive operator monotone decreasing functions

arXiv:2106.01095

Abstract

We prove Lieb type convexity and concavity results for trace functionals associated with positive operator monotone (decreasing) functions and certain monotone concave functions. This gives a partial generalization of Hiai's recent work on trace functionals associated with power functions.

v2: minor changes, 6 pages, v1: 5 pages

Lieb type convexity for positive operator monotone decreasing functions · wovepaper