NEW NORM INEQUALITIES FOR COMMUTATORS OF HILBERT SPACE OPERATORS

被引：0

作者：

Moosavi, B. ^{[1
]}

Hosseini, M. shah ^{[2
]}

机构：

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

[2] Islamic Azad Univ, Dept Math, Shahr E Qods Branch, Tehran, Iran

来源：

PROBLEMY ANALIZA-ISSUES OF ANALYSIS | 2025年

关键词：

bounded linear operator; Hilbert space; norm inequality; numerical radius; NUMERICAL RADIUS INEQUALITIES; LINEAR-OPERATORS; PRODUCTS;

D O I：

10.15393/j3.art.2025.16510

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

New norm inequalities for commutators of Hilbert space operators are given. Among other inequalities, it is shown that if A, B E B(H) and there exists a real number z0, such that IIA- z0/II = DA, then IIAB +/- BA*II 2DAIIBII, where DA = inf IIA- /II. In particular, under some conditions, PC we prove that IIABII DAIIBII, which is an improvement of submultiplicative norm inequality. Also, we prove several numerical radius inequalities for products of two Hilbert space operators.

引用

页数：11

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