• DOI:10.4236/OALIB.1103950
• Corpus ID: 125670513

On Markov Moment Problem and Mazur-Orlicz Theorem

@article{Olteanu2017OnMM,
  title={On Markov Moment Problem and Mazur-Orlicz Theorem},
  author={Octav Olteanu and Janina Mihaela Mihăilă},
  journal={Open Access Library Journal},
  year={2017},
  volume={4},
  pages={1-10}
}

• Octav Olteanu, J. Mihăilă
• Published 25 October 2017
• Mathematics
• Open Access Library Journal

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.