Further norm and numerical radii inequalities for operators involving a positive operator

被引：1

作者：

Altwaijry, Najla ^{[1
]}

Conde, Cristian ^{[2
,3
]}

Dragomir, Silvestru Sever ^{[4
,5
]}

Feki, Kais ^{[6
]}

机构：

[1] King Saud Univ, Dept Math, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia

[2] Consejo Nacl Invest Cient & Tecn, Buenos Aires, Argentina

[3] Univ Nacl Gral Sarmiento, Inst Ciencias, J M Gutierrez 1150,B1613GSX, Los Polvorines, Argentina

[4] Appl Math Res Grp, Victoria Univ, ISILC, POB 14428, Melbourne, Vic 8001, Australia

[5] RMIT Univ, Sch Sci, Math Sci, GPO Box 2476V, Melbourne, Vic 3001, Australia

[6] Univ Sfax, Fac Sci Sfax, Lab Phys Math & Applicat LR ES 22 13, Sfax 3018, Tunisia

来源：

AIMS MATHEMATICS | 2025年 / 10卷 / 02期

关键词：

positive operator; Hilbert space; numerical radius; operator norm; inequalities; SPACE; BUZANO;

D O I：

10.3934/math.2025126

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The article examines inequalities for norms and numerical radii of bounded linear operators on complex Hilbert spaces. It focuses on scenarios where three operators are involved, with one being positive, and investigates their sums or products. Some of our findings extend existing inequalities established in the literature.

引用

页码：2684 / 2696

页数：13

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