{
  "id": "1605.01543",
  "version": "v1",
  "published": "2016-05-05T10:06:45.000Z",
  "updated": "2016-05-05T10:06:45.000Z",
  "title": "Grothendieck's inequality in the noncommutative Schwartz space",
  "authors": [
    "Rupert H. Levene",
    "Krzysztof Piszczek"
  ],
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "In the spirit of Grothendieck's famous inequality from the theory of Banach spaces, we study a sequence of inequalities for the noncommutative Schwartz space, a Fr\\'echet algebra of smooth operators. These hold in non-optimal form by a simple nuclearity argument. We obtain optimal versions and reformulate the inequalities in several different ways.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-05T10:06:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A30",
      "47A07",
      "47L10",
      "47A63"
    ],
    "keywords": [
      "noncommutative schwartz space",
      "grothendiecks inequality",
      "simple nuclearity argument",
      "grothendiecks famous inequality",
      "frechet algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}