SOME EUCLIDEAN BEREZIN NUMBER INEQUALITIES OF A PAIR OF OPERATORS AND THEIR APPLICATIONS

Messaoud Guesba

Abstract


In this paper, we present several sharp lower and upper bounds for the
Euclidean Berezin number of a pair of bounded linear operators de…ned 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.

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