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More Correct Berezin Symbol Inequalities
Dera Natung Government College Research Journal, 2023 The purpose of this research is to show bounds for some Berezin number inequalities in an innovative approach. Some inequalities have been proven using the improvement of the Hermite-Hadamard inequality.
Hamdullah Başaran, Mehmet Gurdal
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A characterization of operators via Berezin symbol and related questions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, we characterize the hyponormal operators with regard to Berezin symbol and reproducing kernel. Also, we demonstrate several Berezin number inequalities for bounded linear operators.
Yamancı Ulaş
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Berezin symbol and invertibility of operators on the functional Hilbert spaces
Journal of Functional Analysis, 2006 Let \(H(\Omega)\) be a reproducing kernel Hilbert space over a nonempty set \(\Omega\) and let \(\widetilde{A}\) denote the Berezin symbol of a bounded linear operator \(A\) on \(H(\Omega)\). Assume that \(| \widetilde{A}(z)| \geq\delta\) for all \(z\in\Omega\) and some \(\delta>0\). Two problems are considered. Problem 1.
M. Karaev
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Berezin symbols and some problems on the Dirichlet space
Indian Journal of Pure and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ulas Yamancı
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Berezin symbol inequalities via Grüss type inequalities and related questions
Turkish Journal of Mathematics, 2022 Final Version: 11.03.2022 Abstract: We prove some new inequalities for Berezin symbols of operators via classical Grüss type inequalities.
Ramiz Tapdigoglu +2 more
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The Berezin Symbol and Multipliers of Functional Hilbert Spaces [PDF]
Proceedings of the American Mathematical Society, 1995 Summary: This paper focuses on a multiplicative property of the Berezin symbol \(\widetilde A\), of a given linear map \(A: {\mathcal H}\mapsto {\mathcal H}\), where \(\mathcal H\) is a functional Hilbert space of analytic functions. We show \(\widetilde{AB}= \widetilde A\widetilde B\) for all \(B\) in \({\mathcal B}({\mathcal H})\) if and only if \(A\)
S. Kilic
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On the summability methods of logarithmic type and the Berezin symbol
TURKISH JOURNAL OF MATHEMATICS, 2018 Summary: We prove by means of the Berezin symbols some theorems for the \(\left( L\right) \)-summability method for sequences and series. Also, we prove a new Tauberian-type theorem for \(\left( L\right) \)-summability.
U. Yamancı
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Journal of Mathematical Sciences, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Karaev
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Toeplitz operators with BMO symbols and the Berezin transform [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 We prove that the boundedness and compactness of the Toeplitz operator on the Bergman space with a BMO1 symbol is completely determined by the boundary behaviour of its Berezin transform. This result extends the known results in the cases when the symbol
Nina Zorboska
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Invariant subspaces of operators via Berezin symbols and Duhamel product
Turkish Journal of Mathematics, 2023 Summary: The Berezin symbol \(\tilde{A}\) 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 \[ \tilde{A}(\lambda) = \left\langle A\frac{k_\lambda}{\|k_\lambda\|}, \frac{k_\lambda}{\|k_\lambda\|}\right\rangle, \lambda\in\Omega. \] We study
M. Garayev
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