TRACE INEQUALITIES AND A QUESTION OF BOURIN

被引：23

作者：

Hayajneh, Saja ^{[1
]}

Kittaneh, Fuad ^{[2
]}

机构：

[1] Irbid Natl Univ, Dept Math, Irbid 2600, Jordan

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

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2013年 / 88卷 / 03期

关键词：

Unitarily invariant norm; operator inequality; concave function; trace norm; Hilbert-Schmidt norm; positive operator; MATRIX SUBADDITIVITY INEQUALITY; NORM INEQUALITIES;

D O I：

10.1017/S0004972712001104

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an affirmative answer to one of the questions posed by Bourin regarding a special type of inequality referred to as subadditivity inequalities in the case of the Hilbert-Schmidt and the trace norms. We formulate the solution for arbitrary commuting positive operators, and we conjecture that it is true for all unitarily invariant norms and all commuting positive operators. New related trace inequalities are also presented.

引用

页码：384 / 389

页数：6

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