On the Joint <i>A</i>-Numerical Radius of Operators and Related Inequalities

In this paper, we study <i>p</i>-tuples of bounded linear operators on a complex Hilbert space with adjoint operators defined with respect to a non-zero positive operator <i>A</i>. Our main objective is to investigate the joint <i>A</i>-numerical radius of the <...

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Bibliographic Details
Main Authors: Najla Altwaijry, Silvestru Sever Dragomir, Kais Feki
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/10/2293
Description
Summary:In this paper, we study <i>p</i>-tuples of bounded linear operators on a complex Hilbert space with adjoint operators defined with respect to a non-zero positive operator <i>A</i>. Our main objective is to investigate the joint <i>A</i>-numerical radius of the <i>p</i>-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 <i>A</i>-numerical radius and the <i>A</i>-seminorm of semi-Hilbert space operators as applications of our results.
ISSN:2227-7390