On the Joint A-Numerical Radius of Operators and Related Inequalities

被引：4

作者：

Altwaijry, Najla ^{[1
]}

Dragomir, Silvestru Sever ^{[2
]}

Feki, Kais ^{[3
,4
]}

机构：

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

[2] Victoria Univ, Coll Sport Hlth & Engn, Math, POB 14428, Melbourne, Vic 8001, Australia

[3] Univ Monastir, Fac Econ Sci & Management Mahdia, Mahdia 5111, Tunisia

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

来源：

MATHEMATICS | 2023年 / 11卷 / 10期

关键词：

positive operator; joint A-numerical radius; Euclidean operator A-seminorm; joint operator A-seminorm; RANGES;

D O I：

10.3390/math11102293

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study p-tuples of bounded linear operators on a complex Hilbert space with adjoint operators defined with respect to a non-zero positive operator A. Our main objective is to investigate the joint A-numerical radius of the p-tuple.We established several upper bounds for it, some of which extend and improve upon a previous work of the second author. Additionally, we provide several sharp inequalities involving the classical A-numerical radius and the A-seminorm of semi-Hilbert space operators as applications of our results.

引用

页数：18

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