APPLICATIONS OF HAHN-BANACH PRINCIPLE TO THE MOMENT PROBLEM

@inproceedings{Olteanu2015APPLICATIONSOH,
  title={APPLICATIONS OF HAHN-BANACH PRINCIPLE TO THE MOMENT PROBLEM},
  author={Octav Olteanu},
  year={2015}
}
. The first aim of this review paper is to show how Hahn-Banach type results can be applied in several aspects related to the multidimensional real moment problem. Here the main tools are constrained extension theorems for linear functionals or operators. An application using suitable L 1 -polynomial approximation on unbounded subsets is also discussed. One uses approximation by sums of tensor products of positive polynomials in each separate variable. This way, one solves the di ffi culty created… 
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