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math.OA2020
Refined operator inequalities for relative operator entropies
Shuzhou Wang, Zhenhua Wang
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 inequalit…
math.FA2020
Relative operator entropies and Tsallis relative operator entropies in JB-algebras
Shuzhou Wang, Zhenhua Wang
We initiate the study of relative operator entropies and Tsallis relative operator entropies in the setting of JB-algebras. We establish their basic properties and extend the opera…
math.FA2020★ 4 cited
Operator means in JB-algebras
Shuzhou Wang, Zhenhua Wang
In this paper, the notion of operator means in the setting of JB-algebras is introduced and their properties are studied. Many identities and inequalities are established, most of…