{
  "id": "math/0510267",
  "version": "v2",
  "published": "2005-10-13T05:10:56.000Z",
  "updated": "2008-01-07T17:18:34.000Z",
  "title": "A Kadison-Sakai Type Theorem",
  "authors": [
    "M. Mirzavaziri",
    "M. S. Moslehian"
  ],
  "comment": "10 pages, completely revised",
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "The celebrated Kadison--Sakai theorem states that every derivation on a von Neumann algebra is inner. In this paper, we prove this theorem for ultraweakly continuous *-\\sigma-derivations, where \\sigma is an ultraweakly continuous surjective *-linear mapping. We decompose a $\\sigma$-derivation into a sum of an inner \\sigma-derivation and a multiple of a homomorphism. The so-called *-(\\sigma,\\tau)-derivations are also discussed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-07T17:18:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L57",
      "46L05",
      "47B47"
    ],
    "keywords": [
      "kadison-sakai type theorem",
      "celebrated kadison-sakai theorem states",
      "von neumann algebra",
      "derivation",
      "ultraweakly continuous"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10267M"
    }
  }
}