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arXiv · 2012.12399

Refined operator inequalities for relative operator entropies

Shuzhou Wang·Zhenhua Wang
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Abstract

In this paper, we investigate the relative operator entropies in the more general settings of C*-algebras, real C*-algebras and JC-algebras. We show that all the operator inequalities on relative operator entropies still hold in these broader settings. In addition, we improve the lower and upper bounds of the relative operator $(\alpha, \beta)$-entropy established by Nikoufar which refined the bounds for the relative operator entropy obtained by Fujii and Kamei.

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Shuzhou Wang, Zhenhua Wang. 2020-12-22. Refined operator inequalities for relative operator entropies. https://arxiv.org/abs/2012.12399

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