Approximation and Markov moment problem on concrete spaces

@article{Olteanu2014ApproximationAM,
  title={Approximation and Markov moment problem on concrete spaces},
  author={Octav Olteanu},
  journal={Rendiconti del Circolo Matematico di Palermo (1952 -)},
  year={2014},
  volume={63},
  pages={161-172}
}
  • Octav Olteanu
  • Published 25 February 2014
  • Mathematics
  • Rendiconti del Circolo Matematico di Palermo (1952 -)
Polynomial approximation results on unbounded subsets of $$R^n$$Rn are discussed. By applying these results, one obtains characterizations of the existence of the solutions of the multidimensional vector valued moment problems in terms of quadratic mappings. Two other applications related to the Markov moment problem are considered. The main ingredients of the proofs are the extension of linear operator’s results, with two constraints. All sections contain statements using Hahn–Banach principle… 

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