Partial trace inequalities for partial transpose of positive semidefinite block matrices

被引：0
作者：
Yang, Junjian [1 ,2 ]
Xu, Huan [1 ]
机构：
[1] Hainan Normal Univ, Sch Math & Stat, Haikou, Hainan, Peoples R China
[2] Hainan Normal Univ, Key Lab Data Sci & Intelligence Educ, Minist Educ, Haikou, Peoples R China
来源：
POSITIVITY | 2024年 / 28卷 / 02期
基金：
海南省自然科学基金;
关键词：
Partial traces; Partial transpose; Positive semidefinite;
D O I：
10.1007/s11117-024-01039-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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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页数：10
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