Some Euclidean Berezin number inequalities of a pair of operators and their applications

Messaoud Guesba

In this paper, we present several sharp lower and upper bounds for the Euclidean Berezin number of a pair of bounded linear operators defined on a reproducing kernel Hilbert space. As applications of these bounds we deduce some new results in this field. Further, some applications of the newly obtained inequalities are also provided.