{
  "id": "0809.0658",
  "version": "v1",
  "published": "2008-09-03T16:05:03.000Z",
  "updated": "2008-09-03T16:05:03.000Z",
  "title": "An interval map with a spectral gap on Lipschitz functions, but not on bounded variation functions",
  "authors": [
    "Sebastien Gouezel"
  ],
  "comment": "4 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We construct a uniformly expanding map of the interval, preserving Lebesgue measure, such that the corresponding transfer operator admits a spectral gap on the space of Lipschitz functions, but does not act continuously on the space of bounded variation functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-03T16:05:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bounded variation functions",
      "spectral gap",
      "lipschitz functions",
      "interval map",
      "corresponding transfer operator admits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.0658G"
    }
  }
}