{
  "id": "math/0012205",
  "version": "v2",
  "published": "2000-12-20T17:03:06.000Z",
  "updated": "2001-01-19T12:49:07.000Z",
  "title": "Automatic continuity and weighted composition operators between spaces of vector-valued differentiable functions",
  "authors": [
    "Jesus Araujo"
  ],
  "comment": "25 pages (AMS LaTeX). No figures. Changes with respect to the first version: one reference added and changes in the introduction",
  "categories": [
    "math.FA"
  ],
  "abstract": "It is proved that every linear biseparating map between spaces of vector-valued differentiable functions is a weighted composition map. As a consequence, such a map is always continuous.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-01-19T12:49:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B33",
      "46H40",
      "47B38",
      "46E40",
      "46E25"
    ],
    "keywords": [
      "vector-valued differentiable functions",
      "weighted composition operators",
      "automatic continuity",
      "linear biseparating map",
      "weighted composition map"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....12205A"
    }
  }
}