Results 1 to 10 of about 10,663,991 (195)
On Berezin norm and Berezin number inequalities for sum of operators
Demonstratio MathematicaThe aim of this study is to obtain several inequalities involving the Berezin number and the Berezin norm for various combinations of operators acting on a reproducing kernel Hilbert space.
Altwaijry Najla +2 more
doaj +4 more sources
Berezin number inequalities for operators [PDF]
Concrete Operators, 2019 The Berezin transform à of an operator A, acting on the reproducing kernel Hilbert space ℋ = ℋ (Ω) over some (non-empty) set Ω, is defined by Ã(λ) = 〉Aǩ λ, ǩ λ〈 (λ ∈ Ω), where k⌢λ=kλ‖kλ‖${\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\frown ...
Bakherad Mojtaba, Garayev Mubariz T.
doaj +3 more sources
Berezin number and Berezin norm inequalities for operator matrices [PDF]
Linear and Multilinear Algebra, 2023 We establish new upper bounds for the Berezin number and Berezin norm of operator matrices, which are refinements of existing bounds. Among other bounds, we prove that if $ A=[A_{ij}] $ A=[Aij] is an $ n\times n $ n×n operator matrix with $ A_{ij}\in ...
Pintu Bhunia +3 more
semanticscholar +3 more sources
Development of the Berezin Number Inequalities [PDF]
Acta Mathematica Sinica, English Series, 2022 We present new bounds for the Berezin number inequalities which improve on the existing bounds. We also obtain bounds for the Berezin norm of operators as well as the sum of two operators.
Pintu Bhunia, Anirban Sen, K. Paul
semanticscholar +3 more sources
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.
David Bar-Moshe
doaj +7 more sources
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
doaj +2 more sources
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 +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
doaj +1 more source
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
doaj +1 more source
Spectral aspects of the Berezin transform [PDF]
, 2020 We discuss the Berezin transform, a Markov operator associated to positive operator valued measures (POVMs), in a number of contexts including the Berezin-Toeplitz quantization, Donaldson's dynamical system on the space of Hermitian products on a complex
Ioos, Louis +3 more
core +3 more sources