正半有限块矩阵部分转置的部分迹不等式

IF 0.8 3区数学 Q2 MATHEMATICS

Positivity Pub Date : 2024-03-14 DOI:10.1007/s11117-024-01039-2

Junjian Yang, Huan Xu

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引用次数: 0

摘要

Li (Algebra 71:2823-2838, 2023) 最近对正半有限块矩阵的一些部分迹不等式进行了改进。在本论文中，我们提出了涉及正半有限块矩阵部分转置的类似部分迹不等式。我们所展示的不等式可视为李的结果的补充。此外，我们还提出了正半有限块矩阵部分转置的一些新的部分迹不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Partial trace inequalities for partial transpose of positive semidefinite block matrices

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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来源期刊

Positivity 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： The purpose of Positivity is to provide an outlet for high quality original research in all areas of analysis and its applications to other disciplines having a clear and substantive link to the general theme of positivity. Specifically, articles that illustrate applications of positivity to other disciplines - including but not limited to - economics, engineering, life sciences, physics and statistical decision theory are welcome. The scope of Positivity is to publish original papers in all areas of mathematics and its applications that are influenced by positivity concepts.