Inequalities involving norm and numerical radius of Hilbert space operators

被引：0
作者：
Goudarzi, Nasrollah [1 ]
Heydarbeygi, Zahra [2 ]
机构：
[1] Islamic Azad Univ, Abadeh Branch, Dept Nucl Engn, 5J59 X54, Abadeh, Iran
[2] Islamic Azad Univ, Mashhad branch, Dept Math, Ostad Yusofi St,Emamieh Blvd, Mashhad 9187147578, Iran
来源：
COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2024年 / 65卷 / 01期
关键词：
bounded linear operator; numerical radius; operator norm; inequality;
D O I：
10.14712/1213-7243.2025.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper presents several numerical radii and norm inequalities for Hilbert space operators. These inequalities improve some earlier related inequalities. For an operator A, we prove that omega 2(A) <= ||A*A + AA* 1 ((1-t)A*A +tAA* 2 2R-((1-t)(A*A)1/2 + (AA*)1/2)2)|| where R = max{t, 1-t} and 0 <= t <= 1.
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收藏
页码：45 / 52
页数：8
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