$A$-numerical radius : New inequalities and characterization of equalities-Reference-Cited by-同舟云学术

$A$-numerical radius : New inequalities and characterization of equalities

Published:2023-10-31 Issue:5 Volume:52 Page:1254-1262
ISSN:2651-477X
Container-title:Hacettepe Journal of Mathematics and Statistics
language:
Short-container-title:

Author:

BHUNİA Pintu¹^ORCID,PAUL Kallol¹^ORCID

Affiliation:

1. Jadavpur University

Abstract

We develop new lower bounds for the $A$-numerical radius of semi-Hilbertian space operators, and applying these bounds we obtain upper bounds for the $A$-numerical radius of the commutators of operators. The bounds obtained here improve on the existing ones. Further, we provide characterizations for the equality of the existing $A$-numerical radius inequalities of semi-Hilbertian space operators.

Publisher

Hacettepe University

Subject

Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis

Reference21 articles.

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