{
  "id": "0710.5839",
  "version": "v1",
  "published": "2007-10-31T11:37:33.000Z",
  "updated": "2007-10-31T11:37:33.000Z",
  "title": "Algebras of unbounded operators over the ring of measurable functions and their derivations and automorphisms",
  "authors": [
    "S. Albeverio",
    "Sh. A. Ayupov",
    "A. A. Zaitov",
    "J. E. Ruziev"
  ],
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "In the present paper derivations and *-automorphisms of algebras of unbounded operators over the ring of measurable functions are investigated and it is shown that all L^0-linear derivations and L^{0}-linear *-automorphisms are inner. Moreover, it is proved that each L^0-linear automorphism of the algebra of all linear operators on a bo-dense submodule of a Kaplansky-Hilbert module over the ring of measurable functions is spatial.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-31T11:37:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L40",
      "46L57",
      "46L60",
      "47L60"
    ],
    "keywords": [
      "measurable functions",
      "unbounded operators",
      "automorphism",
      "bo-dense submodule",
      "linear operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.5839A"
    }
  }
}