{
  "id": "1711.10595",
  "version": "v1",
  "published": "2017-11-28T22:39:54.000Z",
  "updated": "2017-11-28T22:39:54.000Z",
  "title": "An elementary and unified proof of Grothendieck's inequality",
  "authors": [
    "Jinjie Zhang",
    "Shmuel Friedland",
    "Lek-Heng Lim"
  ],
  "comment": "11 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We present an elementary, self-contained proof of Grothendieck's inequality that unifies both the real and complex cases and yields both the Krivine and Haagerup bounds, the current best-known bounds for the real and complex Grothendieck constants respectively.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-28T22:39:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A07",
      "46B28",
      "46B85",
      "81P40",
      "81P45",
      "03D15",
      "97K30",
      "47N10",
      "90C27"
    ],
    "keywords": [
      "grothendiecks inequality",
      "unified proof",
      "elementary",
      "current best-known bounds",
      "complex grothendieck constants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}