Lieb type convexity for positive operator monotone decreasing functions

Published 2 Jun 2021 in math.FA | (2106.01095v2)

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.

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