{
  "id": "1906.09446",
  "version": "v1",
  "published": "2019-06-22T13:40:15.000Z",
  "updated": "2019-06-22T13:40:15.000Z",
  "title": "On 2-local *-automorphisms and 2-local isometries of B(H)",
  "authors": [
    "Lajos Molnár"
  ],
  "comment": "To appear in J. Math. Anal. Appl",
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "It is an important result of \\v Semrl which states that every 2-local automorphism of the full operator algebra over a separable Hilbert space is necessarily an automorphism. In this paper we strengthen that result quite substantially for *-automorphisms. Indeed, we show that one can compress the defining two equations of 2-local *-automorphisms into one single equation, hence weakening the requirement significantly, but still keeping essentially the conclusion that such maps are necessarily *-automorphisms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-22T13:40:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "isometries",
      "full operator algebra",
      "automorphism",
      "important result",
      "separable hilbert space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}