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POSITIVE LINEAR OPERATORS IN SEMI.ORDERED LINEAR SPACES

open access: yesPOSITIVE LINEAR OPERATORS IN SEMI.ORDERED LINEAR SPACES
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Positive Linear Isometries in Symmetric Operator Spaces

Integral Equations and Operator Theory, 2018
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F. Sukochev, A. Veksler
semanticscholar   +2 more sources

Power Series of Positive Linear Operators

Mediterranean Journal of Mathematics, 2019
A unifying approach for studying the power series of the positive linear operators from a certain class of operators is described. The Bernstein, Durrmeyer, beta, Stancu, genuine Bernstein-Durrmeyer operators, the linking operators and the Kantorovich-type modification of these operators belong to this class of operators.
Tuncer Acar, Ali Aral, Ioan Raşa
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On Linear Positive Operators

Journal of the London Mathematical Society, 1983
Soit L n (h;x)=Σ ∞k=0 a nk g n,k (x)h(k/n). On cherche g n,k (x) unique de facon que L n soit un operateur positif lineaire approchant h dans un certain ...
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On the composition and decomposition of positive linear operators III: A non-trivial decomposition of the Bernstein operator

, 2010
The central problem in this technical report is the question if the classical Bernstein operator can be decomposed into nontrivial building blocks where one of the factors is the genuine Beta operator introduced by M\"uhlbach and Lupa\c{s}.
H. Gonska   +3 more
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Matrix Summability and Positive Linear Operators

Positivity, 2007
The continuous function \(\rho: \mathbb{R}\to\mathbb{R}\) is called weight function if \(\lim_{|x|\to\infty} \rho(x)=+\infty\) and \(\rho(x)\geq 1\) for all \(x\in\mathbb{R}\). The weighted space \(B_\rho\) contains the all real-valued functions \(f\) defined on \(\mathbb{R}\) for which \(|f(x)|\leq M_f\cdot\rho(x)\) for every \(x\in\mathbb{R}\) (\(M_f\
Atlihan, Özlem G., Orhan, Cihan
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Certain positive linear operators

Mathematical Notes of the Academy of Sciences of the USSR, 1978
Properties (including the approximating ones) are investigated of positive linear operators Ln(f; x) for which the relation $$L_n \left( {\left( {t - x} \right)f\left( t \right); x} \right) = \frac{{\varphi \left( x \right)}}{n}L'_n \left( {f\left( t \right); x} \right)$$
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Gruss inequality for some types of positive linear maps

, 2014
Assuming a unitarily invariant norm $|||\cdot|||$ is given on a two-sided ideal of bounded linear operators acting on a separable Hilbert space, it induces some unitarily invariant norms $|||\cdot|||$ on matrix algebras $\mathcal{M}_n$ for all finite ...
Jagjit Singh Matharu, M. Moslehian
semanticscholar   +1 more source

Graphic Behavior of Positive Linear Operators

SIAM Journal on Applied Mathematics, 1971
The case g(z) 1_ yields the classical operators of Otto Szasz [5]. The operators Pn were introduced by Jakimovski and Leviatan [1], who proved certain approximation properties of Pn(f; x) for real x. The author [6] investigated approximation properties of Pn(f; z) for complex z, as well as variation-diminishing properties of the operators and ...
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