Refined operator inequalities for relative operator entropies

• URL: http://arxiv.org/abs/2012.12399v1
• Date: Tue, 22 Dec 2020 22:54:32 GMT
• Title: Refined operator inequalities for relative operator entropies
• Authors: Shuzhou Wang and Zhenhua Wang
• Abstract summary: 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.
• Score: 2.40740109080792
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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