INEQUALITIES INVOLVING BEREZIN NORM AND BEREZIN NUMBER OF HILBERT SPACE OPERATORS.

This paper presents several Berezin number and norm inequalities for Hilbert space operators. These inequalities improve some earlier related inequalities. Among other inequali- ties, it is shown that if A is a bounded linear operator on a Hilbert space, then ... where R = max{t, 1-t} and 0 ≤ t ≤ 1. [ABSTRACT FROM AUTHOR]