Some inequalities for the Euclidean operator radius of two operators in Hilbert $C^{\ast }$-Modules space

Abstract

The Euclidean operator radius of two bounded linear operators in the Hilbert $C^{\ast }$-module over $\A$ is given some precise bounds. Their relationship to recent findings in the literature that offer precise upper and lower bounds on the numerical radius of linear operators is also established.

12 pages