Results 1 to 10 of about 105 (95)
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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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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Skew-symmetric and essentially unitary operators via Berezin symbols [PDF]
Open Mathematics, 2020 We characterize skew-symmetric operators on a reproducing kernel Hilbert space in terms of their Berezin symbols. The solution of some operator equations with skew-symmetric operators is studied in terms of Berezin symbols.
Altwaijry Najla +3 more
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Some results related with statistical convergence and Berezin symbols
Journal of Mathematical Analysis and Applications, 2004 A functional Hilbert space is a Hilbert space \(\mathcal{H}\) of complex-valued functions on some set \(\Omega\) such that the evaluation functional \(f \to f(\lambda)\) is continuous for each \(\lambda \in \Omega\). Moreover, for each \(\lambda \in \Omega\) there exists a unique function \(k_{\lambda} \in \mathcal{H}\) such that \(f(\lambda) = (f, k_{\
Serpil Pehlivan
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Reproducing Kernels and Berezin Symbols Techniques in Various Questions of Operator Theory
Complex Analysis and Operator Theory, 2012 Given a functional Hilbert space, the author of the paper under review studies various problems with the help of the corresponding Berezin transform. The notions of Berezin number and Berezin set are introduced. The techniques are applied to the study of invariant subspaces and a uniqueness theorem related to the distance function is obtained.
M T Karaev
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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.
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Some applications of Berezin θ-sequences and Berezin symbols
Filomat, 2021 We consider the so-called Berezin ?-sequence, where ? is an operator valued inner function, for operators on the vector valued Hardy space H2E (D), and study the invertibility of some operators on the model space K? = H2E ? ?H2E via Berezin ?-sequence. By applying of Berezin symbols technique the Toeplitz corona problem in the Bergman space
N. Altwaijry, M. Garayev, A. Baazeem
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Artan Operatör Konveks Fonksiyon İçin Berezin Sayı Eşitsizliği
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2021 Normalleştirilmiş $K_{\lambda}:=\frac{k_{\lambda}}{\left\Vert k_{\lambda}\right\Vert_{\mathcal{H}}}$, üretici çekirdekli $\mathcal{H}\left( \Omega\right) $, Hilbert uzayı üzerinde $A$ sınırlı lineer operatör için Berezin sembolü ve Berezin sayısı ...
Mehmet Gürdal +2 more
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New estimations for the Berezin number inequality
Journal of Inequalities and Applications, 2020 In this paper, by the definition of Berezin number, we present some inequalities involving the operator geometric mean. For instance, it is shown that if X , Y , Z ∈ L ( H ) $X, Y, Z\in {\mathcal{L}}(\mathcal{H})$ such that X and Y are positive operators,
Mojtaba Bakherad, Ulas Yamancı
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