Some Applications of Berezin Radius Inequalities

Abstract

We show a number of inequalities in the reproducing kernel Hilbert space (RKHS) in this study. Stronger boundaries between the Berezin radius and the numerical radius on the Berezin number of the bounded linear operator described in the RKHS than those found in the literature are obtained by using a few auxiliary theorems while analyzing the Berezin radius.

Keywords

• Reproducing Kernel Hilbert Space
• Operator Norm
• Berezin Symbol
• Polar Decomposition
• Contraction Operator

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