Shows new upper bounds for Berezin numbers in 2x2 operator matrices, suggesting refinements in operator theory.
In this paper, we give several upper bounds for the Berezin number for 2 ? 2 off-diagonal operator matrices. These upper bounds refine 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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Guesba et al. (2025) studied this question.
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