Norm inequalities for commutators of self-adjoint operators

被引：16

作者：

Kittaneh, Fuad ^{[1
]}

机构：

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

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2008年 / 62卷 / 01期

关键词：

commutator; normal operator; self-adjoint operator; positive operator; unitarily invariant norm; norm inequality;

D O I：

10.1007/s00020-008-1605-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A, B, and X be bounded linear operators on a complex separable Hilbert space. It is shown that if A and B are self- adjoint with a(1) <= A <= a(2) and b(1) <= B <= b2 for some real numbers a(1), a(2), b(1), and b(2), then for every unitarily invariant norm [GRAPHICS] [GRAPHICS] <= max(a(2) - b(1), b(2) - a(1)) [GRAPHICS] If, in addition, X is positive, then [GRAPHICS] <= 1/2 (a(2) - a(1)) [GRAPHICS] These norm inequalities generalize recent related inequalities due to Kittaneh, Bhatia-Kittaneh, and Wang-Du.

引用

页码：129 / 135

页数：7

共 10 条

[1] ON THE SINGULAR-VALUES OF A PRODUCT OF OPERATORS [J].