OPERATOR NORM AND NUMERICAL RADIUS ANALOGUES OF COHEN'S INEQUALITY

被引：0

作者：

Drnovsek, Roman ^{[1
]}

机构：

[1] Univ Ljubljana, Dept Math, Fac Math & Phys, Jadranska 19, SI-1000 Ljubljana, Slovenia

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2020年 / 23卷 / 02期

关键词：

Operator norm; numerical radius; spectral radius;

D O I：

10.7153/mia-2020-23-55

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let D be an invertible multiplication operator on L-2(X,mu), and let A be a bounded operator on L-2(X,mu). In this note we prove that parallel to A parallel to(2)<= parallel to DA parallel to parallel to D(-1)A parallel to, where parallel to.parallel to denotes the operator norm. If, in addition, the operators A and D are positive, we also have w(A)(2 )<= w(DA)w(D(-1)A) , where w denotes the numerical radius.

引用

页码：671 / 675

页数：5

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