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\(\mathbb{A}\)-Berezin number inequalities for \(2\times 2\) operator matrices

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Publication:6564849
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DOI10.1007/s40840-024-01712-5MaRDI QIDQ6564849

Ali Reza Zamani, Ramiz Tapdigoglu, Satyajit Sahoo, Mubariz Garaev

Publication date: 1 July 2024

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)



zbMATH Keywords

semi-inner productinequalitypositive operatorreproducing kernel Hilbert spaceoperator matrix\(A\)-Berezin symbol


Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Positive linear operators and order-bounded operators (47B65)








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