{
  "id": "1603.07747",
  "version": "v1",
  "published": "2016-03-24T20:44:58.000Z",
  "updated": "2016-03-24T20:44:58.000Z",
  "title": "On the determinacy of the moment problem for symmetric algebras of a locally convex space",
  "authors": [
    "Maria Infusino",
    "Salma Kuhlmann",
    "Murray Marshall"
  ],
  "comment": "7 pages, note in memory of M. Marshall",
  "categories": [
    "math.FA",
    "math.AG"
  ],
  "abstract": "This note aims to show a uniqueness property for the solution (whenever exists) to the moment problem for the symmetric algebra $S(V)$ of a locally convex space $V$. Given the existence of a measure $\\mu$ representing a linear functional $L: S(V)\\to\\mathbb{R}$, we deduce a sufficient determinacy condition on $L$ provided that the support of $\\mu$ is contained in a countable union of some topological duals of $V$. We will compare this result with some already known in literature for such a general form of the moment problem and further discuss how some prior knowledge on the support of the representing measure influences its determinacy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-24T20:44:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "44A60"
    ],
    "keywords": [
      "locally convex space",
      "moment problem",
      "symmetric algebra",
      "sufficient determinacy condition",
      "linear functional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160307747I"
    }
  }
}