Results 11 to 20 of about 254 (149)
Berezin number inequalities for operators
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.
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Enhancing Orange Juice Shelf Life Using Soy Lecithin-Stabilized Lemongrass Essential Oil Nanoemulsions: Formulation, Optimization, and Application. [PDF]
Food Sci NutrIn this study, lemongrass essential oil (LGEO) nanoemulsions were successfully developed using soy lecithin and ultrasonication, optimizing stability and bioactivity. Grape seed oil (GSO) and Tween 80 were then integrated to enhance the nanoemulsion properties, achieving a balance between encapsulation efficiency and particle size.
Nouraddini M, Mohtarami F, Esmaiili M.
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Emotion in and through crisis. [PDF]
Br J SociolAbstract To the extent that emotions are noticed in consideration of crisis they are typically thought to be negative, linked to the disruptive consequences of crisis. Based on semi‐structured in‐depth interviews the article shows that crisis precipitates not only negative but also positive emotions and that the complex of emotional experiences that ...
Qi X.
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Berezin-Toeplitz Quantization for Compact Kähler Manifolds. A Review of Results
Advances in Mathematical Physics, 2010 This article is a review on Berezin-Toeplitz operator and Berezin-Toeplitz deformation quantization for compact quantizable Kähler manifolds. The basic objects, concepts, and results are given.
Martin Schlichenmaier
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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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Toeplitz Operators on Weighted Bergman Spaces
Journal of Function Spaces and Applications, 2013 We characterize the boundedness and compactness of a Toeplitz-type operator on weighted Bergman spaces satisfying the Bekollé-Bonami condition in terms of the Berezin transform.
Gerardo R. Chacón
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Berezin transform on the quantum unit ball [PDF]
Journal of Mathematical Physics, 2003 We introduce and study, in the framework of a theory of quantum Cartan domains, a q-analog of the Berezin transform on the unit ball. We construct q-analogs of weighted Bergman spaces, Toeplitz operators, and covariant symbol calculus. In studying the analytical properties of the Berezin transform we introduce also the q-analog of the SU(n,1)-invariant
Shklyarov, Dmitry, Zhang, Genkai
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Spectral aspects of the Berezin transform [PDF]
Annales Henri Lebesgue, 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 inner products on a complex vector space, representations of finite groups, and quantum noise.
Ioos, Louis +3 more
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Time–Frequency Localization Operators and a Berezin Transform [PDF]
Integral Equations and Operator Theory, 2015 Time-frequency localization operators are a quantization procedure that maps symbols on $R^{2d}$ to operators and depends on two window functions. We study the range of this quantization and its dependence on the window functions. If the short-time Fourier transform of the windows does not have any zero, then the range is dense in the Schatten $p ...
Gröchenig, Karlheinz, Bayer, Dominik
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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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