Results 1 to 10 of about 91 (83)
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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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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Toeplitz Operators with Essentially Radial Symbols
International Journal of Mathematics and Mathematical Sciences, 2012 For Topelitz operators with radial symbols on the disk, there are important results that characterize boundedness, compactness, and its relation to the Berezin transform.
Roberto C. Raimondo
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Skew-symmetric and essentially unitary operators via Berezin symbols
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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Toeplitz operators with BMO symbols and the Berezin transform
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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On some numerical characteristics of operators
Arab Journal of Mathematical Sciences, 2015 We investigate some numerical characteristics of Toeplitz operators including the numerical range, maximal numerical range and maximal Berezin set. Further, we establish an inequality for the Berezin number of an arbitrary operator on the Hardy–Hilbert ...
M. Gürdal +3 more
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Toeplitz Operators on the Bergman Space of Planar Domains with Essentially Radial Symbols
International Journal of Mathematics and Mathematical Sciences, 2011 We study the problem of the boundedness and compactness of 𝑇𝜙 when 𝜙∈𝐿2(Ω) and Ω is a planar domain. We find a necessary and sufficient condition while imposing a condition that generalizes the notion of radial symbol on the disk.
Roberto C. Raimondo
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On a Class of Composition Operators on Bergman Space
International Journal of Mathematics and Mathematical Sciences, 2007 Let 𝔻={z∈ℂ:|z|
Namita Das, R. P. Lal, C. K. Mohapatra
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On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 By applying the so-called Berezin symbols method we prove a Gohberg- Krein type theorem on the weak limit of compact operators on the non- standard reproducing kernel Hilbert space which essentially improves the similar results of Karaev [5]: We also in ...
Saltan Suna
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