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arXiv · 2106.01095

Lieb type convexity for positive operator monotone decreasing functions

Hans Henrich Neumann·Makoto Yamashita
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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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Hans Henrich Neumann, Makoto Yamashita. 2021-06-02. Lieb type convexity for positive operator monotone decreasing functions. https://arxiv.org/abs/2106.01095

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