Results 151 to 160 of about 10,663,991 (195)

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

ANNALI DELL'UNIVERSITA' DI FERRARA, 2023
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M. Garayev, M. Guesba
semanticscholar   +2 more sources

Estimates for the Berezin number inequalities

Journal of Pseudo-Differential Operators and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Guesba, M. Garayev
semanticscholar   +3 more sources

On Berezin Number Inequalities for Operator Matrices

Acta Mathematica Sinica, English Series, 2021
For a bounded linear operator, acting in the reproducing kernel Hilbert space \(\mathcal{H}=\mathcal{H}(\Omega)\) over some set \(\Omega\), its Berezin symbol \(\tilde{A}\) is defined by \(\tilde{A}(\lambda)=\langle A\tilde{k}_\lambda, \tilde{k}_\lambda \rangle\), where \(\tilde{k}_\lambda\) the normalized reproducing kernel of \(\mathcal{H}\).
Sahoo, Satyajit, Das, Namita, Rout, Nirmal Chandra   +2 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,
Çalisir, Irem, SALTAN, Suna, Tapdigoglu, Ramiz   +2 more
openaire   +3 more sources

IMPROVING BOUNDS FOR GENERALIZED BEREZIN NUMBER OF OPERATORS

Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan

semanticscholar   +2 more sources

Berezin number inequalities of operators on reproducing kernel Hilbert spaces

Rocky Mountain Journal of Mathematics, 2022
Several new upper bounds for the Berezin number of bounded linear operators defined on reproducing kernel Hilbert spaces are given. The bounds obtained here improve on the earlier ones.
Pintu Bhunia, K. Paul
semanticscholar   +1 more source

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 ...
Elham Nikzat, M. Omidvar
semanticscholar   +2 more sources

A New Norm on the Space of Reproducing Kernel Hilbert Space Operators and Berezin Number Inequalities

Complex Analysis and Operator Theory
In this note, we introduce a novel norm, termed the t-\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
R. Nayak, Pintu Bhunia
semanticscholar   +1 more source

Inequalities related to Berezin norm and Berezin number of operators

2022
Summary: The Berezin symbol \(\widetilde{A}\) of an operator \(A\) on the reproducing kernel Hilbert space \(\mathcal{H}(\Omega)\) over some set \(\Omega\) with the reproducing kernel \(k_\lambda\) is defined by \[ \widetilde{A}(\lambda) = \left\langle A \widehat{k}_\lambda,\widehat{k}_\lambda \right\rangle,\; \lambda \in \Omega.
Basaran, Hamdullah, Huban, Mualla Birgul, GÜRDAL, Mehmet   +2 more
openaire   +3 more sources

Further refinements of the Berezin number inequalities on operators

Linear and multilinear algebra, 2021
In this paper, we obtain some inequalities for the Berezin number of operators on reproducing kernel Hilbert spaces by using the Krein–Lin inequality and refinements of the Young inequality.
U. Yamancı, İsmail Murat Karlı
semanticscholar   +1 more source