Results 51 to 60 of about 375,843 (160)

The weighted Davis-Wielandt Berezin number for reproducing kernel Hilbert space operators

Journal of Inequalities and Applications
A 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, Mojtaba Bakherad, Monire Hajmohamadi, Mykola Petrushka   +3 more
doaj   +1 more source

Some upper bounds for the Berezin number of Hilbert space operators

Filomat, 2019
In this paper, we obtain some Berezin number inequalities based on the definition of Berezin symbol. Among other inequalities, we show that if A,B be positive definite operators in B(H), and A#B is the geometric mean of them, then ber2(A#B) ?
A. Taghavi, Taher Azimi, V. Darvish
semanticscholar   +1 more source

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, Ahad Alotaibi, Cristian Conde, Kais Feki, Ding-Xuan Zhou   +4 more
wiley   +1 more source

Calibration of Flow Cytometers Enables Reproducible Measurements of Extracellular Vesicle Concentrations and Reference Range Establishment

Journal of Extracellular Vesicles, Volume 14, Issue 12, December 2025.
ABSTRACT The concentration of cells is a key component of modern blood tests. Given the biomarker potential of extracellular vesicles (EVs) in blood, we aimed to establish reference ranges for blood cell‐derived EVs using flow cytometry. To address the orders‐of‐magnitude variability in reported EV concentrations between different flow cytometers (FCMs)
Britta A. Bettin, Bo Li, Kim Falkena, Ton G. van Leeuwen, Christian Gollwitzer, Zoltán Varga, Nadine Ajzenberg, Jovan P. Antovic, Pascale Berckmans, Edit I. Buzas, Randy P. Carney, Sean Cook, Françoise Dignat‐George, Dorothee Faille, Bernd Giebel, Jennifer C. Jones, Yohan Kim, Romaric Lacroix, Joanne Lannigan, Fabrice Lucien, Katariina Maaninka, Erika G. Marques de Menezes, Annette Meyer, Rachel R. Mizenko, Inge Nelissen, John Nolan, Philip J. Norris, Desmond Pink, Sumeet Poudel, Stéphane Robert, Pia R.‐M. Siljander, Vera A. Tang, Tobias Tertel, Tina Van Den Broeck, Lili Wang, Joshua A. Welsh, Rienk Nieuwland, Edwin van der Pol   +37 more
wiley   +1 more source

A new mean-Berezin norm for operators in reproducing kernel Hilbert spaces

Journal of Inequalities and Applications
A 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, F. Bouzeffour, M. Gürdal , C.M. Yangöz   +3 more
doaj  

An exotic calculus of Berezin–Toeplitz operators

Mathematika, Volume 71, Issue 2, April 2025.
Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
wiley   +1 more source

Central limit theorem for smooth statistics of one‐dimensional free fermions

Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.
Abstract We consider the determinantal point processes associated with the spectral projectors of a Schrödinger operator on R$\mathbb {R}$, with a smooth confining potential. In the semiclassical limit, where the number of particles tends to infinity, we obtain a Szegő‐type central limit theorem for the fluctuations of smooth linear statistics.
Alix Deleporte, Gaultier Lambert
wiley   +1 more source

Bounds on Riesz Means of the Eigenvalues for Baouendi–Grushin Type Operators

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The aim of this paper is to consider spectral inequalities of a class of Baouendi–Grushin type operators in cylinders. Such operators are hypoelliptic and we obtain non‐Weyl type inequalities depending on the rate of the degeneracy. We also give an example where all eigenvalues and eigenfunctions are computed explicitly.
Alaa Aljahili, Ari Laptev, Shikha Binwal
wiley   +1 more source

Emotion in and through crisis

The British Journal of Sociology, Volume 75, Issue 5, Page 908-921, December 2024.
Abstract 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 ...
Xiaoying Qi
wiley   +1 more source