{
  "id": "0804.2651",
  "version": "v1",
  "published": "2008-04-16T17:49:56.000Z",
  "updated": "2008-04-16T17:49:56.000Z",
  "title": "An inequality related to uncertainty principle in von Neumann algebras",
  "authors": [
    "Paolo Gibilisco",
    "Tommaso Isola"
  ],
  "comment": "accepted for publication in International Journal of Mathematics",
  "categories": [
    "math-ph",
    "math.MP",
    "math.OA"
  ],
  "abstract": "Recently Kosaki proved an inequality for matrices that can be seen as a kind of new uncertainty principle. Independently, the same result was proved by Yanagi, Furuichi and Kuriyama. The new bound is given in terms of Wigner-Yanase-Dyson informations. Kosaki himself asked if this inequality can be proved in the setting of von Neumann algebras. In this paper we provide a positive answer to that question and moreover we show how the inequality can be generalized to an arbitrary operator monotone function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-16T17:49:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "62B10",
      "94A17",
      "46L30",
      "46L60"
    ],
    "keywords": [
      "von neumann algebras",
      "uncertainty principle",
      "inequality",
      "arbitrary operator monotone function",
      "wigner-yanase-dyson informations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.2651G"
    }
  }
}