Results 21 to 30 of about 184,343 (116)
Berezin number and Berezin norm inequalities for operator matrices [PDF]
, 2023 We establish new upper bounds for Berezin number and Berezin norm of operator matrices, which are refinements of the existing bounds. Among other bounds, we prove that if $A=[A_{ij}]$ is an $n\times n$ operator matrix with $A_{ij}\in\mathbb{B}(\mathcal{H}
Paul, Kallol +3 more
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Advanced refinements of Berezin number inequalities
, 2023 For a bounded linear operator $A$ on a functional Hilbert space $mathcal{H}left( Omegaright) $, with normalized reproducing kernel $widehat {k}_{eta}:=frac{k_{eta}}{leftVert k_{eta}rightVert _{mathcal{H}}},$ the Berezin symbol and Berezin number are ...
Hamdullah BAŞARAN +3 more
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, 2003 We study zero products of two Bergman space Toeplitz operators, where one symbol is harmonic. Our results point in the direction of the zero product problem having only a trivial solution.
Željko Čučković +1 more
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The weighted Davis-Wielandt Berezin number for reproducing kernel Hilbert space operators
Journal of Inequalities and ApplicationsA functional Hilbert space is the Hilbert space of complex-valued functions on some set Θ ⊆ C $\Theta \subseteq \mathcal {C}$ that the evaluation functionals φ λ ( f ) = f ( λ ) $\varphi _{\lambda}\left ( f\right ) =f\left ( \lambda \right ) $ , λ ∈ Θ ...
Nooshin Eslami Mahdiabadi +3 more
doaj +1 more source
Some Berezin number inequalities for operator matrices [PDF]
, 2018 summary:The Berezin symbol $\tilde {A}$ of an operator $A$ acting on the reproducing kernel Hilbert space ${\mathcal H}={\mathcal H}(\Omega )$ over some (nonempty) set is defined by $\tilde {A}(\lambda )=\langle A\hat {k}_{\lambda },\hat {k}_{\lambda ...
Mojtaba Bakherad, Bakherad, Mojtaba
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Berezin Yarıçapı İçin Diğer Eşitsizlikler [PDF]
, 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 ...
Hamdullah Başaran, Mehmet Gürdal
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A new mean-Berezin norm for operators in reproducing kernel Hilbert spaces
Journal of Inequalities and ApplicationsA functional Hilbert space is defined as the Hilbert space K $\mathcal{K}$ of complex-valued functions defined on a set Θ. In this space, the evaluation functionals ψ ε ( h ) = h ( ε ) $\psi _{\varepsilon}(h) = h(\varepsilon )$ , for ε ∈ Θ $\varepsilon ...
Mojtaba Bakherad
doaj +1 more source
Refinements of Kantorovich type, Schwarz and Berezin number inequalities
Extracta Mathematicae, 2020 In this article, we use Kantorovich and Kantorovich type inequalities in order to prove some new Berezin number inequalities. Also, by using a refinement of the classical Schwarz inequality, we prove Berezin number inequalities for powers of f (A), where
M. Garayev +3 more
doaj
A probabilistic Weyl-law for perturbed Berezin-Toeplitz operators [PDF]
, 2023 This paper proves a probabilistic Weyl-law for the spectrum of randomly perturbed Berezin-Toeplitz operators, generalizing a result proven by Martin Vogel in 2020.
Oltman, Izak
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Convolutions for Berezin quantization and Berezin-Lieb inequalities [PDF]
, 2018 Concepts and results from quantum harmonic analysis, such as the convolution between functions and operators or between two operators, are identified as the appropriate setting for Berezin quantization and Berezin-Lieb inequalities. Based on this insight,
Luef, Franz, Skrettingland, Eirik
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