{
  "id": "0809.1789",
  "version": "v1",
  "published": "2008-09-10T13:38:29.000Z",
  "updated": "2008-09-10T13:38:29.000Z",
  "title": "Special symmetries of Banach spaces isomorphic to Hilbert spaces",
  "authors": [
    "Jarno Talponen"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper Hilbert spaces are characterized among Banach spaces in terms of transitivity with respect to nicely behaved subgroups of the isometry group. For example, the following result is typical here: If X is a real Banach space isomorphic to a Hilbert space and convex-transitive with respect to the isometric finite-dimensional perturbations of the identity, then X is already isometric to a Hilbert space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-10T13:38:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46C15",
      "46B04"
    ],
    "keywords": [
      "banach spaces isomorphic",
      "special symmetries",
      "real banach space isomorphic",
      "paper hilbert spaces",
      "isometric finite-dimensional perturbations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.1789T"
    }
  }
}