On the Joint A-Numerical Radius of Operators and Related Inequalities-Reference-Cited by-同舟云学术

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

Published:2023-05-15 Issue:10 Volume:11 Page:2293
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Altwaijry Najla¹^ORCID,Dragomir Silvestru Sever²^ORCID,Feki Kais³⁴^ORCID

Affiliation:

1. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

2. Mathematics, College of Sport, Health and Engineering, Victoria University, P.O. Box 14428, Melbourne City, VIC 8001, Australia

3. Faculty of Economic Sciences and Management of Mahdia, University of Monastir, Mahdia 5111, Tunisia

4. Laboratory Physics-Mathematics and Applications (LR/13/ES-22), Faculty of Sciences of Sfax, University of Sfax, Sfax 3018, Tunisia

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.

Funder

Distinguished Scientist Fellowship Program, King Saud University, Riyadh, Saudi Arabia

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/10/2293/pdf

Reference31 articles.

1. Spectral analysis of bounded operators on semi-Hilbertian spaces;Baklouti;Banach J. Math. Anal.,2022

2. Bhunia, P., Dragomir, S.S., Moslehian, M.S., and Paul, K. (2022). Lectures on Numerical Radius Inequalities, Springer.

3. Joint numerical ranges of operators in semi-Hilbertian spaces;Baklouti;Linear Algebra Appl.,2018

4. Bounds for A-numerical radius based on an extension of A-Buzano inequality;Kittaneh;J. Comput. Appl. Math.,2023

5. Kittaneh, F., and Zamani, A. (2023). A refinement of A-Buzano inequality and applications to A-numerical radius inequalities. Linear Algebra Appl., in press.

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