Partial trace inequalities for partial transpose of positive semidefinite block matrices

被引：0
|
作者：
Junjian Yang
Huan Xu
机构：
[1] Hainan Normal University,School of Mathematics and Statistics
[2] Ministry of Education,Key Laboratory of Data Science and Intelligence Education (Hainan Normal University)
来源：
Positivity | 2024年 / 28卷
关键词：
Partial traces; Partial transpose; Positive semidefinite; 15A42; 15A45; 47B65;
D O I：
暂无
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学科分类号：
摘要：
Li (Algebra 71:2823–2838, 2023) recently obtained several improvements on some partial trace inequalities for positive semidefinite block matrices. In this note, we present analogous partial trace inequalities involving partial transpose of positive semidefinite block matrix. The inequalities we show could be regarded as complements of Li’s results. In addition, some new partial trace inequalities for partial transpose of positive semidefinite block matrix are included.
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