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Refined operator inequalities for relative operator entropies

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 نشر من قبل Zhenhua Wang
 تاريخ النشر 2020
  مجال البحث فيزياء
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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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