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Some estimations of the Berezin radius and the Berezin norm

Rendiconti del Circolo Matematico di Palermo Series 2
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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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The Berezin Number, Norm of a Hankel Operator and Related Topics

2015
We give, in terms of the Berezin number, necessary and sufficient conditions providing unitarity of an invertible operator. Also we obtain in terms of the Berezin number a new inequality for the norm of the Hankel operator \(H_{\varphi}\) which is better than the classical inequality \(\|H_{\varphi}\|\leq\|\varphi\|_{\infty}\) The Berezin number is ...
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Rocky Mountain Journal of Mathematics, 2022
Ramiz TAPDIGOGLU
exaly

Berezin Number and Numerical Radius Inequalities

Vietnam Journal of Mathematics, 2023
Kallol Paul, Anirban Sen
exaly

Development of the Berezin Number Inequalities

Acta Mathematica Sinica, English Series, 2023
Kallol Paul, Pintu Bhunia, Anirban Sen
exaly

The Berezin radius and the Berezin norm associated with the tensor product

Operators and Matrices
Mojtaba Bakherad, Mubariz T. Garayev
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Berezin number and Berezin norm inequalities: New and improved results for n ⨉ n operator matrices

Mathematical Inequalities & Applications
Somdatta Barik, Kallol Paul
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Berezin Number Inequalities for Sums and Products of Operators and Applications

Lobachevskii Journal of Mathematics
Fuad Kittaneh
exaly