Results 61 to 70 of about 374,962 (187)

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

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, Tahere Roushan Azimi, V. Darvish   +2 more
semanticscholar   +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

Boundary behavior of Berezin symbols and related results

Filomat, 2019
For a given function ? ? H? with |?(z)| < 1 (z ? D), we associate some special operators subspace and study some properties of these operators including behavior of their Berezin symbols. It turns that such boundary behavior is closely related to the Blaschke condition of sequences in the unit disk D of the complex plane.
YAMANCI, Ulaş, Garayev, Mubariz T., GÜRDAL, Mehmet, Halouani, Borhen   +3 more
openaire   +4 more sources

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

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

Compact Operators via the Berezin Transform [PDF]

, 1998
In this paper we prove that if S equals a finite sum of finite products of Toeplitz operators on the Bergman space of the unit disk, then S is compact if and only if the Berezin transform of S equals 0 on the boundary of the disk. This result is new even
Axler, Sheldon, Zheng, Dechao
core   +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

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  

Realization of compact Lie algebras in K\"ahler manifolds

, 1994
The Berezin quantization on a simply connected homogeneous K\"{a}hler manifold, which is considered as a phase space for a dynamical system, enables a description of the quantal system in a (finite-dimensional) Hilbert space of holomorphic functions ...
Bando M, Bando M, Bar-Moshe D, Berezin F A, Berezin F A, Berezin F A, Bordemann M, Borel A, D Bar-Moshe, Hitchin N J, Hurt N E, Kirillov A A, Kirillov A A, Kirillov A A, Kobayashi S, Kostant B, M S Marinov, Odzijewicz A, Perelomov A M, Schwarz A S, Souriau J-M   +20 more
core   +1 more source