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

Author

Listed:
  • Najla Altwaijry

    (Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
    These authors contributed equally to this work.)

  • Silvestru Sever Dragomir

    (Mathematics, College of Sport, Health and Engineering, Victoria University, P.O. Box 14428, Melbourne City, VIC 8001, Australia
    These authors contributed equally to this work.)

  • Kais Feki

    (Faculty of Economic Sciences and Management of Mahdia, University of Monastir, Mahdia 5111, Tunisia
    Laboratory Physics-Mathematics and Applications (LR/13/ES-22), Faculty of Sciences of Sfax, University of Sfax, Sfax 3018, Tunisia
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Najla Altwaijry & Silvestru Sever Dragomir & Kais Feki, 2023. "On the Joint A -Numerical Radius of Operators and Related Inequalities," Mathematics, MDPI, vol. 11(10), pages 1-18, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:10:p:2293-:d:1147080
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