%0 Journal Article
%T On Markov Moment Problem and Mazur-Orlicz Theorem
%A Octav Olteanu
%A Janina Mihaela Mihaila
%J Open Access Library Journal
%V 4
%N 10
%P 1-10
%@ 2333-9721
%D 2017
%I Open Access Library
%R 10.4236/oalib.1103950
%X <div style="text-align:justify;">
	<span style="line-height:1.5;">Applications of the generalization of Mazur-Orlicz theorem to concrete spaces are proved. Suitable moment problems are solved, as applications of extension theorems of linear operators with a convex and a concave constraint. In particular, a relationship between Mazur-Orlicz theorem and Markov moment problem is partially illustrated. In the end of this work, an application to the multidimensional Markov moment problem of an earlier extension result on a distanced subspace with respect to a bounded convex set is proved. Contrary to preceding results based on this theorem, now the solution is defined on a space of continuous functions vanishing at the origin. Most of the solutions are operator valued, respectively function valued.</span>
</div>
%K Markov Moment Problem
%K Inequalities
%K Convex Subsets
%K Hahn-Banach Principle
%K Concrete Spaces
%U http://www.oalib.com/paper/5290206