Results 11 to 20 of about 83 (64)
A Generalized Norm on Reproducing Kernel Hilbert Spaces and Its Applications
Axioms, 2023 The aim of this article was to provide improved estimates for the (α,β)-norm of a bounded linear operator. In particular, our results enabled the determination of new upper bounds involving both the Berezin number and the Berezin norm of bounded linear ...
Najla Altwaijry +2 more
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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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On the $p$-norm of the Berezin transform
Illinois Journal of Mathematics, 2012 Let \(\nu_n\) denote the normalized Lebesgue measure on the unit ball \(B_n\) of \(\mathbb{C}^n\), \(n\geq 1\). Given \(f\in L^1(B_n, \nu_n)\), the Berezin transform \(\mathcal{B}f\) is defined by the formula \[ \mathcal{B} f(z)= (1-|z|^2)^{n+1} \int_{B_n} \frac{f(w)\, d\nu_n(w)}{|1-\langle z, w \rangle|^{2(n+1)}}, \quad z\in B_n.
Liu, Congwen, Zhou, Lifang
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Berezin regularity of domains in $\mathbb {C}^n$ and the essential norms of Toeplitz operators
Transactions of the American Mathematical Society, 2021 Fixed few typos. Minor changes. To appear in Trans. Amer.
Čučković, Željko +1 more
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Norm-parallelism of Hilbert space operators and the Davis-Wielandt Berezin number
Journal of Mathematical Inequalities, 2023 For a functional Hilbert space \(H\) consisting of certain complex-valued functions on a set \(\Omega\subseteq \mathbb{C}\), one can consider the reproducing kernel of \(H\) as the function \(k\) defined on \(\Omega \times \Omega\) by \(k(z,\lambda) = k_\lambda(z)\).
Alomari, Mohammad W. +2 more
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Berezin inequalities for sums of operators and classical inequalities concerning the Berezin radius
Vojnotehnički GlasnikIntroduction/purpose: In this article, the author’s goal is to seek to obtain new inequalities of the Berezin type. Methods: The methods used are standard for operator theory. Results: Various inequalities of the type given by Huban et al.
Mehmet Gürdal, Vuk N. Stojiljković
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Journal of Sleep Research, EarlyView.ABSTRACT Emerging evidence links COVID‐19 to the predisposition of Parkinson's disease (PD). However, the relationship between long COVID and prodromal PD‐like features remains unclear, particularly in long COVID participants with dream‐enactment behaviours (DEBs) that may be suggestive of possible REM sleep behaviour disorder.
Siyi Gong +28 more
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Journal of Biophotonics, Volume 19, Issue 7, July 2026.Quantitative SD‐OCT analysis reveals that topically applied chemical optical clearing agents, specifically PEG‐400 combined with oleic acid and aqueous tartrazine, significantly reduce the skin optical attenuation coefficient. In contrast, mechanical compression proved ineffective, identifying chemical clearing as a superior strategy for optimizing ...
Camila Ramos Silva +7 more
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