{
  "id": "2107.01515",
  "version": "v1",
  "published": "2021-07-04T00:51:07.000Z",
  "updated": "2021-07-04T00:51:07.000Z",
  "title": "The Mazur-Ulam property for uniform algebras",
  "authors": [
    "Osamu Hatori"
  ],
  "comment": "17 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We give a sufficient condition for a Banach space with which the homogeneous extension of a surjective isometry from the unit sphere of it onto another one is real-linear. The condition is satisfied by a uniform algebra and a certain extremely $C$-regular space of real-valued continuous functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-04T00:51:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B04",
      "46B20",
      "46J10",
      "46J15"
    ],
    "keywords": [
      "uniform algebra",
      "mazur-ulam property",
      "regular space",
      "sufficient condition",
      "unit sphere"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}