{
  "id": "1812.03861",
  "version": "v1",
  "published": "2018-12-10T15:12:14.000Z",
  "updated": "2018-12-10T15:12:14.000Z",
  "title": "Majorization, Interpolation and noncommutative Khintchine inequalities",
  "authors": [
    "Léonard Cadilhac"
  ],
  "comment": "15 pages",
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "We give a new characterization of interpolated spaces for the couple $(L_p(0,\\alpha),L_q(0,\\alpha))$, $0<p<q<\\infty$ in terms of two forms of majorization. The result is closely related to the characterization obtained by computing the $K$-functional. This extends the work of Cwikel and Nilsson which treated the case of Banach sequence spaces. We apply it to study characterizations of spaces in which noncommutative Khintchine inequalities hold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-10T15:12:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "majorization",
      "interpolation",
      "banach sequence spaces",
      "noncommutative khintchine inequalities hold",
      "study characterizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}