Results 1 to 10 of about 1,483,088 (317)
On differential operators associated with Markov operators [PDF]
Journal of Functional Analysis, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francesco Altomare +2 more
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Convexity, Markov Operators, Approximation, and Related Optimization
Mathematics, 2022 The present review paper provides recent results on convexity and its applications to the constrained extension of linear operators, motivated by the existence of subgradients of continuous convex operators, the Markov moment problem and related Markov ...
Octav Olteanu
doaj +3 more sources
TURKISH JOURNAL OF MATHEMATICS, 2020 A positive linear operator $T$ between two unital $f$-algebras, with point separating order duals, $A$ and $B$ is called a Markov operator for which $% T\left( e_{1}\right) =e_{2}$ where $e_{1},e_{2}$ are the identities of $A$ and $B$ respectively. Let $A$ and $B$ be semiprime $f$-algebras with point separating order duals such that their second order ...
Hūlya DURU, Serkan İLTER
semanticscholar +5 more sources
Filomat, 2018 Let A and B be f -algebras with unit elements eA and eB respectively. A positive operator T from A to B satisfying T(eA) = eB is called a Markov operator. In this definition we replace unit elements with weak order units and, in this case, call T to be a weak Markov operator.
Duru, Hūlya, Ilter, Serkan
semanticscholar +6 more sources
Iterates of Markov Operators and Constructive Approximation of Semigroups [PDF]
Constructive Mathematical Analysis, 2019 In this paper we survey some recent results concerning the asymptotic behaviour of the iterates of a single Markov operator or of a sequence of Markov operators.
F. Altomare
semanticscholar +2 more sources
Exploding Markov operators [PDF]
Positivity, 2020 AbstractA special class of doubly stochastic (Markov) operators is constructed. In a sense these operators come from measure preserving transformations and inherit some of their properties, namely ergodicity and positivity of entropy, yet they may have no pointwise factors.
B. Frej
openaire +3 more sources
On Quasi-Compact Markov Operators
Annals of Probability, 1974 Let $P$ be a conservative Markov operator on $L_\infty(X, \sum, m)$. The following conditions are proved to be equivalent: (i) $P$ is ergodic and quasi-compact. (ii) $P$ is ergodic and $(I - P)L_\infty$ is closed. (iii) For every $u \in L_1$ with $\int u dm = 0$ the sequence $\{\sum^N_{n=0} uP^n\}$ is weakly sequentially compact in $L_1$.
Michael Lin
exaly +4 more sources
Journal of Approximation Theory, 1976 AbstractIn this paper we consider iterates of Markov operators of the form Φf(x)=∑j=0mf(jmϕj(x) where the ϑj's are linearly independent, nonnegative and sum to 1. We define the evaluation matrix of Φ to be Φ∗ = [ϑj(im)] and prove that the iterates of the operator converge in the operator norm if and only if the powers of the evaluation matrix converge.
Nielson, G.M +2 more
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Attractors of iterated function systems and Markov operators [PDF]
Abstract and Applied Analysis, 2003 This paper contains a review of results concerning generalized attractors for a large class of iterated function systems {wi:i∈I} acting on a complete separable metric space.
Józef Myjak, Tomasz Szarek
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Solvability of nonlinear integral equations and surjectivity of nonlinear Markov operators
Mathematical methods in the applied sciences, 2020 In the present paper, we consider integral equations, which are associated with nonlinear Markov operators acting on an infinite‐dimensional space. The solvability of these equations is examined by investigating nonlinear Markov operators.
F. Mukhamedov, O. Khakimov, A. F. Embong
semanticscholar +2 more sources