On the (α, β)-Euclidean operator radius and its applications

Our aim in this paper is to introduce a new norm of n-tuple operators which generalizes the (?,?)-norm on the space of all bounded linear operators on a complex Hilbert space due to Sain et al. (Ann. Funct. Anal. 12:51 (2021)). We introduce and study basic properties of this norm. As an application of the present study, we estimate bounds for the Euclidean operator radius (joint numerical radius) of bounded linear operators. Also, we improve on some of the important existing Euclidean operator radius inequalities.