Results 11 to 20 of about 14,266 (165)
New estimations for the Berezin number inequality [PDF]
Journal of Inequalities and Applications, 2020 AbstractIn this paper, by the definition of Berezin number, we present some inequalities involving the operator geometric mean. For instance, it is shown that if $X, Y, Z\in {\mathcal{L}}(\mathcal{H})$X,Y,Z∈L(H) such that X and Y are positive operators, then $$\begin{aligned} \operatorname{ber}^{r} \bigl( ( X\mathbin{\sharp} Y ) Z \bigr) &\leq ...
Mojtaba Bakherad, Ulas Yamancı
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New Inequalities and an Integral Expression for the 𝒜‐Berezin Number
Journal of Mathematics, Volume 2026, Issue 1, 2026.This work examines a reproducing kernel Hilbert space XF,·,· constructed on a nonempty set F. Our investigation focuses on the A‐Berezin number and the A‐Berezin norm, where A denotes a positive bounded linear operator acting on XF. For an A‐bounded linear operator B, the A‐Berezin seminorm is defined by BberA=supλ,ν∈FBu∧λ,u∧νA, where u∧λ and u∧ν are ...
Salma Aljawi +4 more
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A Method for Weight Multiplicity Computation Based on Berezin Quantization [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Let $G$ be a compact semisimple Lie group and $T$ be a maximal torus of $G$. We describe a method for weight multiplicity computation in unitary irreducible representations of $G$, based on the theory of Berezin quantization on $G/T$.
Bar-Moshe, David
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Quantitative Mapping of Fibrotic Tissue Mechanics via Brillouin Spectroscopy. [PDF]
J BiophotonicsBrillouin spectroscopy distinguishes fibrotic from healthy tissue based on localized stiffness changes and enables real‐time monitoring of dynamic alterations in viscoelastic properties during fibrogenesis.ABSTRACTFibrosis is a pathological scarring process that disrupts tissue architecture, and is characterized by excessive extracellular matrix (ECM ...
Cheburkanov V +3 more
europepmc +2 more sources
Berezin Yarıçapı İçin Diğer Eşitsizlikler
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2023 İşlevsel Hilbert uzayları, istatistik, yaklaşım teorisi, grup temsili teorisi, vb. dahil olmak üzere birçok alanda ortaya çıkar. İşlevsel Hilbert uzay sayesinde tanımlanan Berezin dönüşümü ise, düzgün fonksiyonları analitik fonksiyonların Hilbert ...
Mehmet Gürdal, Hamdullah Başaran
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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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Some New Estimates for the Berezin Number of Hilbert Space Operators
Axioms, 2022 In this paper, we have developed new estimates of some estimates involving the Berezin norm and Berezin number of bounded linear operators defined on a reproducing kernel Hilbert space HΩ.
Najla Altwaijry +2 more
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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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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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