Results 61 to 70 of about 8,614,347 (174)

Improved inequalities for the Berezin number

Journal of Mathematical Inequalities
Summary: A functional Hilbert space is the Hilbert space of complex-valued functions on some set \(\Theta\subseteq\mathbb{C}\) that the evaluation functionals \(\varphi_\tau(f) = f(\tau)\), \(\tau\in\Theta\) are continuous on \(\mathscr{H}\). The Berezin number (radius) of an operator \(T\) is defined by \(\mathbf{ber}(T) = \sup\limits_{\tau\in\Theta}|\
Afraz, Davood, Lashkaripour, Rahmatollah, Bakherad, Mojtaba   +2 more
openaire   +1 more source

Participation Beyond Compliance: Who Tried to Influence Other People's Vaccination Behaviour During the COVID‐19 Crisis?

Sociology of Health &Illness, Volume 48, Issue 3, March 2026.
ABSTRACT In this paper, we call for more attention to be paid to what we call ordinary contributions to public health policies: the propensity of ordinary citizens to actively influence others to follow or reject a health policy. Shifting the focus from personal compliance to active participation (i.e., ordinary contribution) raises distinct questions ...
Hugo Touzet, Benoît Giry, Jeremy K. Ward   +2 more
wiley   +1 more source

Universality for fluctuations of counting statistics of random normal matrices

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We consider the fluctuations of the number of eigenvalues of n×n$n\times n$ random normal matrices depending on a potential Q$Q$ in a given set A$A$. The eigenvalues of random normal matrices are known to form a determinantal point process, and are known to accumulate on a compact set called the droplet under mild conditions on Q$Q$. When A$A$
Jordi Marzo, Leslie Molag, Joaquim Ortega‐Cerdà   +2 more
wiley   +1 more source

Berezin and Berezin-Toeplitz Quantizations for General Function Spaces [PDF]

, 2006
The standard Berezin and Berezin-Toeplitz quantizations on a K¨ahler manifold are based on operator symbols and on Toeplitz operators, respectively, on weighted L2-spaces of holomorphic functions (weighted Bergman spaces). In both cases, the construction
Englis, Miroslav
core   +2 more sources

Protective Role of Physical Exercise and Exercise‐Induced FNDC5/Irisin in Combating Diabetes‐Related Cognitive Impairment and Autonomic and Peripheral Neuropathies: A Comprehensive Review

Journal of Diabetes Research, Volume 2026, Issue 1, 2026.
The rising prevalence of diabetes has been closely linked to increased mortality and morbidity, particularly as its complications become more widespread. Among the most challenging of these complications are cognitive impairments and diabetic neuropathies, which are neurodegenerative conditions that significantly diminish the quality of life in the ...
Sepideh Poshtdar, Hosein Ataei-Goujani, Amirali Ahrabi, Munmun Chattopadhyay   +3 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

An introduction of Berezin sectorial operators and its application to Berezin number inequalities

Bulletin des Sciences Mathématiques
We introduce a new class of operators, called Berezin sectorial operators, which generalizes classical sectorial operators. We provide examples on the Hardy-Hilbert space showing that there exist operators that are Berezin sectorial but not sectorial and that the Berezin sectorial index can be strictly smaller than the classical one.
Saikat Mahapatra, Sweta Mukherjee, Anirban Sen, Riddhick Birbonshi, Kallol Paul   +4 more
openaire   +2 more sources

Inequalities involving Berezin norm and Berezin number of Hilbert space operators

Journal of Mathematical Inequalities
Summary: This paper presents several Berezin number and norm inequalities for Hilbert space operators. These inequalities improve some earlier related inequalities. Among other inequalities, it is shown that if \(A\) is a bounded linear operator on a Hilbert space, then \[ \mathbf{ber}^2(A) \leqslant \left\|\frac{A^\ast A + AA^\ast}{2} - \frac{1}{2R ...
Nikzat, Elham, Omidvar, Mohsen Erfanian
openaire   +1 more source

Berezin number inequality for convex function in reproducing Kernel Hilbert Space

, 2017
By using Hardy-Hilbert?s inequality, some power inequalities for the Berezin number of a selfadjoint operators in Reproducing Kernel Hilbert Spaces (RKHSs) with applications for convex functions are given.
Ulaş Yamancı, Mehmet Gürdal, Mubariz Garayev   +2 more
core   +1 more source

SOME REFINEMENTS OF BEREZIN NUMBER INEQUALITIES VIA CONVEX FUNCTIONS

The Berezin transform (A) over tilde and the Berezin number of an operator A on the reproducing kernel Hilbert space over some set Omega with normalized reproducing kernel (k) over cap (lambda) are defined, respectively, by (A) over tilde(lambda ...
SALTAN, Suna, Baskan, Nazli
core   +1 more source