Refinements of generalized Euclidean operator radius inequalities of 2-tuple operators

TL;DR

This paper introduces refined bounds for the $A$-Euclidean operator radius of 2-tuple operators with $A$-adjoint, leading to sharper $A$-numerical radius bounds, advancing the theoretical understanding of operator inequalities.

Contribution

It develops new upper and lower bounds for the $A$-Euclidean operator radius that improve upon previous bounds, with applications to sharper $A$-numerical radius estimates.

Findings

Refined bounds for $A$-Euclidean operator radius.

Sharper $A$-numerical radius bounds.

Improved inequalities for 2-tuple operators.

Abstract

We develop several upper and lower bounds for the $A$-Euclidean operator radius of $2$-tuple operators admitting $A$-adjoint, and show that they refine the earlier related bounds. As an application of the bounds developed here, we obtain sharper $A$-numerical radius bounds.