Generalized Operator Shannon Entropy and Related Operator Inequalities

被引：0

作者：

Ismail Nikoufar

Kenjiro Yanagi

机构：

[1] Payame Noor University,Department of Mathematics

[2] Josai University,Department of Mathematics

来源：

Iranian Journal of Science | 2023年 / 47卷

关键词：

Operator inequality; Operator Shannon-type inequality; Relative operator entropy; Generalized relative operator entropy; 47A63; 46L05; 46L60;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we investigate a notion of the relative operator entropy developing the theory started by Fujii and Kamei. We consider generalized operator Shannon entropy and give its upper and lower bounds under certain conditions. Our results generalize and extend various comparable results in the existing literature. As an application, we refine some inequalities concerning an inequality due to Furuta and a generalized operator version of Shannon inequality and its reverse one.

引用

页码：1379 / 1384

页数：5