Inequalities and reverse inequalities for the joint A-numerical radius of operators

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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) Inequalities and reverse inequalities for the joint A-numerical radius of operators. Axioms, 12 (3). ISSN 2075-1680

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 (Formula presented.), which leads to the special case of the well-known A-numerical radius for (Formula presented.). Here, A is a positive operator on (Formula presented.). 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.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/46955
DOI 10.3390/axioms12030316
Official URL https://www.mdpi.com/2075-1680/12/3/316
Subjects Current > FOR (2020) Classification > 4901 Applied mathematics
Current > Division/Research > College of Science and Engineering
Keywords Euclidean operator, Hilbert space, A-bounded operators, A-numerical radius
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