Inequalities Involving A-Numerical Radius and Operator A-Norm for a Class of Operators Related to α,β−A-Normal Operators

Sid Ahmed Ould Ahmed Mahmoud, Sidi Hamidou Jah and Xiaolong Qin

Journal of Mathematics, 2022, vol. 2022, 1-15

Abstract: In this article, we introduce and study a new class of operators, larger than α,β−A-normal operators and different than α,β−A-normal operators, named m-quasi-α,β−A-normal operators. Considering the semi-inner product induced by a positive operator A, the m-quasi-α,β−A-normal operators turn into a generalization (for this new structure) of classical m-quasi-α,β-normal operators. Several results concerning properties of this kind of operators are presented in the paper. Several inequalities for the A-numerical radius and A-operator norm for members of this class are established.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1506330

DOI: 10.1155/2022/1506330

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