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Inequalities related to Berezin norm and Berezin number of operators
2022Summary: The Berezin symbol \(\widetilde{A}\) of an operator \(A\) on the reproducing kernel Hilbert space \(\mathcal{H}(\Omega)\) over some set \(\Omega\) with the reproducing kernel \(k_\lambda\) is defined by \[ \widetilde{A}(\lambda) = \left\langle A \widehat{k}_\lambda,\widehat{k}_\lambda \right\rangle,\; \lambda \in \Omega.
Basaran, Hamdullah +2 more
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Schatten-Herz Operators, Berezin Transform and Mixed Norm Spaces
Integral Equations and Operator Theory, 2011Let ...
Blasco, Oscar, Pérez-Esteva, Salvador
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Some estimations of the Berezin radius and the Berezin norm
Rendiconti del Circolo Matematico di Palermo Series 2zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bakherad, Mojtaba, Kittaneh, Fuad
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New estimates for the Berezin number and Berezin norm
This paper intends to establish several inequalities employing the Cartesian decomposition of the operator. We used the results to determine the Berezin number inequalities. Our results extend and improve some earlier inequalities.Nourbakhsh, S. +3 more
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Berezin Number and Numerical Radius Inequalities
Vietnam Journal of Mathematics, 2023Anirban Sen, Kallol Paul
exaly
Development of the Berezin Number Inequalities
Acta Mathematica Sinica, English Series, 2023Anirban Sen, Kallol Paul
exaly
The Berezin radius and the Berezin norm associated with the tensor product
Operators and MatricesMojtaba Bakherad, Mubariz T. Garayev
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Berezin Number Inequalities for Sums and Products of Operators and Applications
Lobachevskii Journal of MathematicsMessaoud Guesba, Fuad Kittaneh
exaly
Estimates for the Berezin number inequalities
Journal of Pseudo-Differential Operators and ApplicationsMubariz Garayev, Messaoud Guesba
exaly