Numerical Radius Inequalities for Products of Hilbert Space Operators

被引：0

作者：

Hosseini, M. Shah ^{[1
]}

Moosavi, B. ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Shahr Eqods Branch, Tehran, Iran

[2] Islamic Azad Univ, Dept Math, Safadasht Branch, Tehran, Iran

来源：

JOURNAL OF MATHEMATICAL EXTENSION | 2022年 / 16卷 / 12期

关键词：

and Phrases; Bounded linear operator; Hilbert space; norm inequality; numerical radius; NORM;

D O I：

10.30495/JME.2022.2343

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce some numerical radius inequalities for prod-ucts of two Hilbert space operators. Among other inequalities, it is shown that if S, T is an element of B(H) and ST = TS*, then omega(ST) <=omega(S)omega(T) + 21DSsup theta is an element of RDei theta T +e-i theta T *, where DS = inf parallel to S - lambda I parallel to. Also, we show that if S, T is an element of B(H) and S be lambda is an element of C self-adjointable, then ( ) omega(ST) <= 2 parallel to S parallel to - min lambda is an element of sigma(S)|lambda| omega(T).

引用

页数：1

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