Operator-norm inequalities and interpolated trace inequalities

被引：3

作者：

Yousef, A. ^{[1
]}

Sababheh, M. ^{[2
,3
]}

Khalil, R. ^{[1
]}

机构：

[1] Univ Jordan, Dept Math, Amman, Jordan

[2] Princess Sumaya Univ Technol, Dept Basic Sci, Amman, Jordan

[3] Sharjah Univ, Dept Math, Sharjah, U Arab Emirates

来源：

LINEAR & MULTILINEAR ALGEBRA | 2015年 / 63卷 / 03期

关键词：

47B15; 47A30; 15A60; 47A63; unitarily invariant norm; trace norm; Hilbert-Schmidt norm; positive operator; operator inequality;

D O I：

10.1080/03081087.2013.872639

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we investigate some operator-norm inequalities related to some conjectures posed by Hayajneh and Kittaneh that are related to questions of Bourin regarding a special type of inequalities referred to as subadditivity inequalities. While some inequalities are meant to answer these conjectures, other inequalities present reverse-type inequalities for these conjectures. Then, we present some new trace inequalities related to Heinz means inequality and use these inequalities to prove some variants of the aforementioned conjectures.

引用

页码：455 / 465

页数：11

共 6 条

[1]

[Anonymous], 1985, Matrix Analysis

[2]

Bourin JC, 2010, J OPERAT THEOR, V63, P151

[3] MATRIX SUBADDITIVITY INEQUALITIES AND BLOCK-MATRICES [J].