{
  "id": "0803.2320",
  "version": "v3",
  "published": "2008-03-15T20:37:26.000Z",
  "updated": "2012-06-13T13:47:44.000Z",
  "title": "Representations of dynamical systems on Banach spaces not containing $l_1$",
  "authors": [
    "E. Glasner",
    "M. Megrelishvili"
  ],
  "comment": "27 pages, revised version, to appear in Trans. AMS",
  "categories": [
    "math.DS",
    "math.FA",
    "math.GN"
  ],
  "abstract": "For a topological group G, we show that a compact metric G-space is tame if and only if it can be linearly represented on a separable Banach space which does not contain an isomorphic copy of $l_1$ (we call such Banach spaces, Rosenthal spaces). With this goal in mind we study tame dynamical systems and their representations on Banach spaces.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-06-13T13:47:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37Bxx",
      "54H20",
      "54H15"
    ],
    "keywords": [
      "representations",
      "study tame dynamical systems",
      "compact metric g-space",
      "isomorphic copy",
      "rosenthal spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.2320G"
    }
  }
}