{
  "id": "1803.08236",
  "version": "v2",
  "published": "2018-03-22T06:03:59.000Z",
  "updated": "2018-04-21T06:42:11.000Z",
  "title": "Isometries on Banach algebras of $C(Y)$-valued maps",
  "authors": [
    "Osamu Hatori"
  ],
  "comment": "revision of the previous manuscript",
  "categories": [
    "math.FA"
  ],
  "abstract": "We propose a unified approach to the study of isometries on algebras of vector-valued Lipschitz maps and those of continuously differentiable maps by means of the notion of natural $C(Y)$-valuezations that take values in unital commutative $C^*$-algebras. A precise proof of a theorem of Jarosz \\cite{ja} is exhibited.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2018-04-21T06:42:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E40",
      "46B04",
      "46J10",
      "46J15"
    ],
    "keywords": [
      "banach algebras",
      "valued maps",
      "isometries",
      "vector-valued lipschitz maps",
      "precise proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}