On the convexity of Berezin range and Berezin radius inequalities via a class of semi-norms

Athul Augustine, P. Hiran Das, Pintu Bhunia +1

This paper introduces a new family of semi-norms, say $\ddot{I}{ƒ}_{\hat{I}}¼$-Berezin norm on the space of all bounded linear operators $B(\mathcal{H})$ defined on a reproducing kernel Hilbert spa…