Application of Operator Matrices of 2x2 of Berezin Radius Inequality

Abstract

Many researchers in mathematics and mathematical physics are working on the Berezin symbol of the core Hilbert space operator, which has been proliferating in recent years. In this direction, some researchers (1.2) continued their important studies on the Berezin inequality ([18-24]). As a matter of fact, improved and improved versions of this inequality have attracted the attention of researchers in recent years ([8-11]. In this study, the upper bounds of the Berezin radius inequalities of 2x2 operator matrices were found. Al-Dolat and Kittaneh ([2]) and Bani-Domi and Kittaneh ([7]) inequalities are shown for 2x2 operator matrices using auxiliary theorems.