On $\mathbb{A}$-numerical radius inequalities for $2\times 2$ operator matrices-II

Abstract

The main goal of this article is to establish several new upper and lower bounds for the $\mathbb{A}$-numerical radius of $2\times 2$ operator matrices, where $\mathbb{A}$ be the $2\times 2$ diagonal operator matrix whose diagonal entries are positive bounded operator $A$.

18 pages