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Berezin number and Berezin norm inequalities for operator matrices

Bhunia, P and Sen, A and Barik, S and Paul, K (2023) Berezin number and Berezin norm inequalities for operator matrices. In: Linear and Multilinear Algebra .

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Official URL: https://doi.org/10.1080/03081087.2023.2299388


We establish new upper bounds for the Berezin number and Berezin norm of operator matrices, which are refinements of existing bounds. Among other bounds, we prove that if (Formula presented.) is an (Formula presented.) operator matrix with (Formula presented.) for (Formula presented.), then (Formula presented.) and (Formula presented.) where (Formula presented.) (Formula presented.) if i<j and (Formula presented.) if i>j. We also provide examples which illustrate these bounds for some concrete operators acting on the Hardy-Hilbert space. © 2023 Informa UK Limited, trading as Taylor & Francis Group.

Item Type: Journal Article
Publication: Linear and Multilinear Algebra
Publisher: Taylor and Francis Ltd.
Additional Information: The copyright for this article belongs to Author.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 04 Mar 2024 09:09
Last Modified: 04 Mar 2024 09:09
URI: https://eprints.iisc.ac.in/id/eprint/84221

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