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

Inequalities and Reverse Inequalities for the Joint A-Numerical Radius of Operators

Published:2023-03-22 Issue:3 Volume:12 Page:316
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

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. College of Engineering and Science, Victoria University, Melbourne, VIC 8000, 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 aim to establish several estimates concerning the generalized Euclidean operator radius of d-tuples of A-bounded linear operators acting on a complex Hilbert space H, which leads to the special case of the well-known A-numerical radius for d=1. Here, A is a positive operator on H. Some inequalities related to the Euclidean operator A-seminorm of d-tuples of A-bounded operators are proved. In addition, under appropriate conditions, several reverse bounds for the A-numerical radius in single and multivariable settings are also stated.

Funder

Distinguished Scientist Fellowship Program, King Saud University, Riyadh, Saudi Arabia, Researchers Supporting Project

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/3/316/pdf

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