Generalizations for singular value inequalities of operators

被引：13

作者：

Audeh, Wasim ^{[1
]}

机构：

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

来源：

ADVANCES IN OPERATOR THEORY | 2020年 / 5卷 / 02期

关键词：

Singular value; Compact operator; Inequality; Positive operator; Self-adjoint operator;

D O I：

10.1007/s43036-019-00027-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper proves singular value inequality, from which well-known singular value and norm inequalities are special cases: Let A, B, and X are positive operators on a complex separable Hilbert space. Then s j A1/2XA1/2 + B1/2XB1/2 = s j A1/2XA1/2 + B1/2XA1/2 . B1/2XB1/2 + A1/2XB1/2 for j = 1, 2,. In particular, s j ( A + B) = s j A + B1/2 A1/2 . B + A1/2B1/2 for j = 1, 2,. Moreover, we give singular value inequalities for sums and products of Hilbert space operators which are sharper than several singular value inequalities.

引用

页码：371 / 381

页数：11

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