New Inequalities and an Integral Expression for the 𝒜-Berezin Number
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.
Salma Aljawi +3 more
doaj +2 more sources
Participation Beyond Compliance: Who Tried to Influence Other People's Vaccination Behaviour During the COVID-19 Crisis? [PDF]
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 ...
Touzet H, Giry B, Ward JK.
europepmc +2 more sources
Identification of EppR, a Second Repressor of Error-Prone DNA Polymerase Genes in Acinetobacter baumannii. [PDF]
A novel TetR‐like regulator (EppR) has been identified to repress genes encoding DNA polymerase V in Acinetobacter baumannii through the direct binding of a conserved EppR motif in their promoters. EppR works with previously identified regulator UmuDAb to serve as co‐regulators of these genes. In response to DNA damage and/or environmental stress, both
Nguyen B +6 more
europepmc +2 more sources
More Correct Berezin Symbol Inequalities
The purpose of this research is to show bounds for some Berezin number inequalities in an innovative approach. Some inequalities have been proven using the improvement of the Hermite-Hadamard inequality.
Hamdullah Başaran, Mehmet Gurdal
doaj +1 more source
Spectral aspects of the Berezin transform [PDF]
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
A characterization of operators via Berezin symbol and related questions
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
On the $p$-norm of the Berezin transform
Let \(\nu_n\) denote the normalized Lebesgue measure on the unit ball \(B_n\) of \(\mathbb{C}^n\), \(n\geq 1\). Given \(f\in L^1(B_n, \nu_n)\), the Berezin transform \(\mathcal{B}f\) is defined by the formula \[ \mathcal{B} f(z)= (1-|z|^2)^{n+1} \int_{B_n} \frac{f(w)\, d\nu_n(w)}{|1-\langle z, w \rangle|^{2(n+1)}}, \quad z\in B_n.
Liu, Congwen, Zhou, Lifang
openaire +3 more sources
Berezin regularity of domains in $\mathbb {C}^n$ and the essential norms of Toeplitz operators
Fixed few typos. Minor changes. To appear in Trans. Amer.
Čučković, Željko +1 more
openaire +3 more sources
Berezin-Toeplitz quantization for compact Kaehler manifolds. A Review of Results [PDF]
This article is a review on Berezin-Toeplitz operator and Berezin-Toeplitz deformation quantization for compact quantizable Kaehler manifolds. The basic objects, concepts, and results are given. This concerns the correct semi-classical limit behaviour of
Schlichenmaier, Martin
core +4 more sources
Norm-parallelism of Hilbert space operators and the Davis-Wielandt Berezin number
For a functional Hilbert space \(H\) consisting of certain complex-valued functions on a set \(\Omega\subseteq \mathbb{C}\), one can consider the reproducing kernel of \(H\) as the function \(k\) defined on \(\Omega \times \Omega\) by \(k(z,\lambda) = k_\lambda(z)\).
Alomari, Mohammad W. +2 more
openaire +2 more sources

