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

Najla Altwaijry (), Silvestru Sever Dragomir and Kais Feki
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Najla Altwaijry: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Silvestru Sever Dragomir: Mathematics, College of Sport, Health and Engineering, Victoria University, P.O. Box 14428, Melbourne City, VIC 8001, Australia
Kais Feki: Faculty of Economic Sciences and Management of Mahdia, University of Monastir, Mahdia 5111, Tunisia

Mathematics, 2023, vol. 11, issue 10, 1-18

Abstract: 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.

Keywords: positive operator; joint A-numerical radius; Euclidean operator A-seminorm; joint operator A-seminorm (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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