Results 41 to 50 of about 83 (64)

Linking Circulating Irisin and Type 2 Diabetes: A Systematic Review and Meta‐Analysis

open access: yesJCSM Communications, Volume 8, Issue 1, January/June 2025.
ABSTRACT Background Type II diabetes (T2DM) is one of the most prevalent metabolic disorders, and its multisystemic health consequences are widely known. Due to skeletal muscle's ability to sequester a vast amount of glucose, muscle function and exercise have become a subject of much research into strategies to prevent and treat T2DM.
E. Aminov, P. Folan, A. Pisconti
wiley   +1 more source

Estimation of $\mathrm{A}$-Berezin number and $\mathrm{A}$-Berezin norm inequalities via Moore-Penrose inverse

open access: yes
In this article, we establish the $A$-Berezin number and $A$-Berezin norm inequalities for bounded linear operators on a reproducing kernel Hilbert space using the Moore-Penrose inverse. We further extend these inequalities to the case of the sum of two bounded linear operators.
Ghosh, Sumon   +2 more
openaire   +2 more sources

Some estimates for the Banach space norms in the von Neumann algebras associated with the Berezin's quantization of compact Riemann

open access: yes, 1995
AMSTEX, 31 pages. This paper has been circulated (in hard copy version) under the Title : The fundamental group of the von Neumann algebra of any cocompact subgroup of $PSL(2,R)$ contains the positive rationals. This is a revised version- Some (rather minor) errors have been corrected and the Title has been changed to something which looked more ...
openaire   +2 more sources

Berezin radius type inequalities for functional Hilbert space operators [PDF]

open access: yesElectronic Journal of Mathematics
Vuk Stojiljković, Mehmet Gürdal
doaj   +1 more source

Novel Berezin number and norm inequalities for operator sums and products

open access: yesAIMS Mathematics
Feryal Aladsani   +3 more
openaire   +1 more source

Spectral estimates for multiparametric operator products via the $ \mathbb{A} $-Berezin norm in RKHS

open access: yesAIMS Mathematics
Xiu-Liang Qiu   +4 more
openaire   +1 more source

Some new relations between the Berezin number and the Berezin norm of operators

Rocky Mountain Journal of Mathematics, 2022
For a bounded linear operator \(A\) on a reproducing kernel Hilbert space with reproducing kernel \(K(z,w)\), the Berezin symbol, Berezin norm and Berezin number of \(A\) are defined, respectively, by \[ \tilde A(w):=\langle Ak_w,k_w\rangle, \quad \|A\|_{Ber} := \sup_w \|Ak_w\|, \quad \operatorname{ber}(A) :=\sup_w |\tilde A(w)|, \] where \(k_w(z):=K(z,
Ramiz Tapdigoglu
exaly   +4 more sources

Refinements of some inequalities involving Berezin norms and Berezin number and related questions

Annali Dell'Universita Di Ferrara, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M T Garayev, Guesba Messaoud
exaly   +2 more sources

On a New Norm on the Space of Reproducing Kernel Hilbert Space Operators and Berezin Radius Inequalities

Numerical Functional Analysis and Optimization, 2023
In this paper, we provide a new norm(α-Berezin norm) on the space of all bounded linear operators defined on a reproducing kernel Hilbert space, which generalizes the Berezin radius and the Berezin norm. We study the basic properties of the α-Berezin norm and develop various inequalities involving the α-Berezin norm. By using the inequalities we obtain
Kallol Paul, M Gürdal
exaly   +3 more sources

A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm

Acta Applicandae Mathematicae
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fuad Kittaneh   +2 more
exaly   +3 more sources

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