{
  "id": "0810.5600",
  "version": "v2",
  "published": "2008-10-31T01:33:24.000Z",
  "updated": "2009-01-09T21:33:07.000Z",
  "title": "Approximation by Lipschitz, analytic maps on certain Banach spaces",
  "authors": [
    "R. Fry",
    "L. Keener"
  ],
  "comment": "19 pages, minor correction",
  "categories": [
    "math.FA"
  ],
  "abstract": "We show that on separable Banach spaces admitting a separating polynomial, any uniformly continuous, bounded, real-valued function can be uniformly approximated by Lipschitz, analytic maps on bounded sets.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-01-09T21:33:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B20"
    ],
    "keywords": [
      "analytic maps",
      "approximation",
      "separable banach spaces admitting",
      "separating polynomial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.5600F"
    }
  }
}