论文标题
相对操作员熵的精制操作员不平等现象
Refined operator inequalities for relative operator entropies
论文作者
论文摘要
在本文中，我们研究了C* - 代数，实际C*-ergebras和JC-Algebras的相对操作员熵。我们表明，在这些更广泛的设置中，相对操作员熵的所有操作员不平等仍然存在。此外，我们改善了由Nikoufar建立的相对操作员$（α，β）$的熵的下限和上限，该熵完善了Fujii和Kamei获得的相对操作员熵的边界。
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 $(α, β)$-entropy established by Nikoufar which refined the bounds for the relative operator entropy obtained by Fujii and Kamei.
