Results 1 to 10 of about 584,481 (285)

Resolvent positive linear operators exhibit the reduction phenomenon. [PDF]

Proc Natl Acad Sci U S A, 2012
The spectral bound, s(a A + b V), of a combination of a resolvent positive linear operator A and an operator of multiplication V, was shown by Kato to be convex in b \in R.
Altenberg L.
europepmc   +8 more sources

Composition and Decomposition of Positive Linear Operators (VIII) [PDF]

Axioms, 2023
In a series of papers, most of them authored or co-authored by H. Gonska, several authors investigated problems concerning the composition and decomposition of positive linear operators defined on spaces of functions.
Ana Maria Acu, Ioan Raşa, Andra Seserman   +2 more
doaj   +2 more sources

Completely positive linear operators for Banach spaces [PDF]

International Journal of Mathematics and Mathematical Sciences, 1994
Using ideas of Pisier, the concept of complete positivity is generalized in a different direction in this paper, where the Hilbert space ℋ is replaced with a Banach space and its conjugate linear dual.
Mingze Yang
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The eigenstructure of some positive linear operators

Journal of Numerical Analysis and Approximation Theory, 2014
Of concern is the study of the eigenstructure of some classes of positive linear operators satisfying particular conditions. As a consequence, some results concerning the asymptotic behaviour as \(t\to +\infty\) of particular strongly continuous ...
Antonio Attalienti, Ioan Raşa
doaj   +5 more sources

Weighted A-Statistical Convergence for Sequences of Positive Linear Operators [PDF]

The Scientific World Journal, 2014
We introduce the notion of weighted A-statistical convergence of a sequence, where A represents the nonnegative regular matrix. We also prove the Korovkin approximation theorem by using the notion of weighted A-statistical convergence. Further, we give a
S. A. Mohiuddine, Abdullah Alotaibi, Bipan Hazarika   +2 more
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Asymptotic Behaviour of the Iterates of Positive Linear Operators [PDF]

Abstract and Applied Analysis, 2011
We present a general result concerning the limit of the iterates of positive linear operators acting on continuous functions defined on a compact set.
Ioan Gavrea, Mircea Ivan
doaj   +2 more sources

Reverses of Young and Heinz inequalities for positive linear operators [PDF]

Journal of Inequalities and Applications, 2016
Let A, B be invertible positive operators on a Hilbert space H. We present some improved reverses of Young type inequalities, in particular, ( 1 − ν ) 2 ν ( A ∇ B ) + ( 1 − ν ) 2 ( 1 − ν ) H 2 ν ( A , B ) ≥ 2 ( 1 − ν ) ( A ♯ B ) $$ (1-\nu)^{2\nu}(A\nabla
S Malekinejad, S Talebi, AG Ghazanfari
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Differences of Positive Linear Operators on Simplices [PDF]

Journal of Function Spaces, 2021
The aim of the paper is twofold: we introduce new positive linear operators acting on continuous functions defined on a simplex and then estimate differences involving them and/or other known operators.
Ana-Maria Acu, Gülen Başcanbaz-Tunca, Ioan Rasa   +2 more
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DETECTABILITY OF LINEAR DISCRETE TIME LINEAR SYSTEMS DEFINED BY POSITIVE OPERATORS [PDF]

Fiabilitate şi Durabilitate, 2010
In this paper we extend the notion of detectability, introduced in [1] in connection with stochastic systems, to a more general class of linear discrete time systems defined by positive operators.
V.M. Ungureanu
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Approximation of bounded functions by positive linear operators

Modern Mathematical Methods
A general family of positive linear operators associated with a power expansion is studied. An upper estimate of the rate of convergence is obtained for bounded continuous functions in \([0,\infty)\) that has limit when \(x\to \infty\).
Jorge Bustamante
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