A characterization of operators via Berezin symbol and related questions

Abstract

In this paper, we characterize the hyponormal operators with regard to Berezin symbol and reproducing kernel. Also, we demonstrate several Berezin number inequalities for bounded linear operators.

Keywords

• berezin number
• berezin norm
• berezin symbol
• hyponormal operator
• reproducing kernel hilbert space
• inequalities
• primary 47a63
• secondary 47b32