# Refined operator inequalities for relative operator entropies

@article{Wang2020RefinedOI, title={Refined operator inequalities for relative operator entropies}, author={Shuzhou Wang and Zhenhua Wang}, journal={Analysis Mathematica}, year={2020}, volume={48}, pages={185-198} }

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 ( α, β )-entropy established by Nikoufar in [15,17] which refined the bounds for the relative operator entropy obtained by Fujii and Kamei [7,8].

## 2 Citations

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Mathematics

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In this paper, we initiate the study of relative operator entropies and Tsallis relative operator entropies in the setting of JB-algebras. We show that the operator inequalities on relative operator…

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