New Bounds for the Euclidean Numerical Radius of Two Operators in Hilbert Spaces

被引：0
|
作者：
Altwaijry, Najla [1 ]
Dragomir, Silvestru Sever [2 ,3 ]
Feki, Kais [4 ]
Furuichi, Shigeru [5 ,6 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia
[2] Victoria Univ, Appl Math Res Grp, ISILC, POB 14428, Melbourne, Vic 8001, Australia
[3] RMIT Univ, Sch Sci, Math Sci, GPO Box 2476V, Melbourne, Vic 3001, Australia
[4] Univ Sfax, Fac Sci Sfax, Lab Phys Math & Applicat LR 13 ES 22, Sfax 3018, Tunisia
[5] Nihon Univ, Coll Humanities & Sci, Dept Informat Sci, 3-25-40 Sakurajyousui,Setagaya Ku, Tokyo 1568550, Japan
[6] SIMATS Thandalam, Saveetha Sch Engn, Dept Math, Chennai 602105, Tamilnadu, India
来源：
SYMMETRY-BASEL | 2025年 / 17卷 / 01期
关键词：
numerical radius; Davis-Wielandt radius; Euclidean numerical radius; operator inequalities; INEQUALITIES;
D O I：
10.3390/sym17010007
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper presents new weighted lower and upper bounds for the Euclidean numerical radius of pairs of operators in Hilbert spaces. We show that some of these bounds improve on recent results in the literature. We also find new inequalities for the numerical radius and the Davis-Wielandt radius. The lower and upper bounds we obtain are not symmetrical.
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页数：28
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