{
  "id": "0912.2039",
  "version": "v1",
  "published": "2009-12-10T16:37:30.000Z",
  "updated": "2009-12-10T16:37:30.000Z",
  "title": "A Mazur-Ulam theorem for Mappings of conservative distance in non-Archimedean $n$-normed spaces",
  "authors": [
    "Hahng-Yun Chu",
    "Se-Hyun Ku"
  ],
  "comment": "10 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this article, we study the notions of $n$-isometries in non-Archimedean $n$-normed spaces over linear ordered non-Archimedean fields, and prove the Mazur-Ulam theorem in the spaces. Furthermore, we obtain some properties for $n$-isometries in non-Archimedean $n$-normed spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-10T16:37:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B20",
      "51M25",
      "46S10"
    ],
    "keywords": [
      "normed spaces",
      "mazur-ulam theorem",
      "conservative distance",
      "linear ordered non-archimedean fields",
      "isometries"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.2039C"
    }
  }
}