On the joint a-numerical radius of operators and related inequalities

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Altwaijry, Najla ORCID: 0000-0001-7442-8841, Dragomir, Sever S ORCID: 0000-0003-2902-6805 and Feki, Kais ORCID: 0000-0002-9326-4173 (2023) On the joint a-numerical radius of operators and related inequalities. Mathematics, 11 (10). ISSN 2227-7390

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.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/46887
DOI 10.3390/math11102293
Official URL https://www.mdpi.com/2227-7390/11/10/2293
Subjects Current > FOR (2020) Classification > 4901 Applied mathematics
Current > Division/Research > College of Science and Engineering
Keywords p-tuples, Hilbert space, operators, advanced mathematics
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