{
  "id": "0711.3768",
  "version": "v2",
  "published": "2007-11-23T17:03:13.000Z",
  "updated": "2008-01-28T14:04:00.000Z",
  "title": "Convex-transitivity and function spaces",
  "authors": [
    "Jarno Talponen"
  ],
  "comment": "Corrected version",
  "categories": [
    "math.FA"
  ],
  "abstract": "If X is a convex-transitive Banach space and 1\\leq p\\leq \\infty then the closed linear span of the simple functions in the Bochner space L^{p}([0,1],X) is convex-transitive. If H is an infinite-dimensional Hilbert space and C_{0}(L) is convex-transitive, then C_{0}(L,H) is convex-transitive. Some new fairly concrete examples of convex-transitive spaces are provided.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-28T14:04:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B04",
      "46E40"
    ],
    "keywords": [
      "function spaces",
      "convex-transitivity",
      "infinite-dimensional hilbert space",
      "bochner space",
      "simple functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.3768T"
    }
  }
}