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has been cited by the following article:

• TITLE: On Markov Moment Problem and Mazur-Orlicz Theorem

  AUTHORS: Octav Olteanu, Janina Mihaela Mihăilă

  KEYWORDS: Markov Moment Problem, Inequalities, Convex Subsets, Hahn-Banach Principle, Concrete Spaces

  JOURNAL NAME: Open Access Library Journal, Vol.4 No.10, October 25, 2017

  ABSTRACT: 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.