Results 51 to 60 of about 83 (64)

Further Berezin Number and Berezin Norm Inequalities for Sums and Products of Operators

Complex Analysis and Operator Theory
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Kallol Paul, Guesba Messaoud, Paul Kallol   +2 more
exaly   +3 more sources

Berezin Number and Norm Inequalities for Operators in Hilbert and Semi-Hilbert Spaces

Mathematics Online First Collections, 2023
Kais Feki, Fuad Kittaneh, Kittaneh Fuad   +2 more
exaly   +2 more sources

Inequalities related to Berezin norm and Berezin number of operators

2022
Summary: 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, Huban, Mualla Birgul, GÜRDAL, Mehmet   +2 more
openaire   +3 more sources

Schatten-Herz Operators, Berezin Transform and Mixed Norm Spaces

Integral Equations and Operator Theory, 2011
Let ...
Blasco, Oscar, Pérez-Esteva, Salvador
openaire   +1 more source

Some estimations of the Berezin radius and the Berezin norm

Rendiconti del Circolo Matematico di Palermo Series 2
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bakherad, Mojtaba, Kittaneh, Fuad
openaire   +2 more sources

Norm of Berezin transformon L p space

Journal d'Analyse Mathématique, 2008
Let \(D\) be the unit disc in \(\mathbb C\) equipped with the standard Lebesgue measure \(\mu\). For \(K_\alpha(z, \xi)= (\alpha +1)\frac{(1-| \xi| ^2)^\alpha}{^(1-z\overline{\xi})^{\alpha + 2}}\), the operator \(G_\alpha: L^p(D) \to L^p(D)\), \((G_\alpha f)(z):= \frac1\pi \int_D| K_\alpha(z, \xi)| f(\xi)\,d\mu(\xi)\) is introduced.
openaire   +1 more source

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., Hassani, M., Omidvar, M. E., Moradi, H. R.   +3 more
openaire   +1 more source

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 ...
openaire   +1 more source

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

Operators and Matrices
Mojtaba Bakherad, Mubariz T. Garayev
openaire   +1 more source

Development of the Berezin Number Inequalities

Acta Mathematica Sinica, English Series, 2023
Kallol Paul, Pintu Bhunia, Anirban Sen   +2 more
exaly