BOUNDS FOR THE BEREZIN NUMBER INEQUALITIES OF 2 2 OPERATOR MATRICES AND APPLICATIONS

Messaoud Guesba, MUBARIZ GARAYEV

Abstract


"> In this paper, we give several upper bounds for the Berezin number for 22
o¤-diagonal operator matrices. These upper bounds re…ne and generalize some earlier existing ones. As an application of one of our results, we give new upper bounds for the sum of Berezin numbers of two bounded operators.

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