{
  "id": "1205.2202",
  "version": "v1",
  "published": "2012-05-10T09:03:21.000Z",
  "updated": "2012-05-10T09:03:21.000Z",
  "title": "Exponentials of Normal Operators and Commutativity of Operators: A New Approach",
  "authors": [
    "Mohammed Hichem Mortad"
  ],
  "comment": "05 pages",
  "journal": "Colloquium Mathematicum, 125 (2011), 1-6",
  "doi": "10.4064/cm125-1-1",
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "We present a new approach to the question of when the commutativity of operator exponentials implies that of the operators. This is proved in the setting of bounded normal operators on a complex Hilbert space. The proofs are based on some similarities results by Berberian and Embry as well as the celebrated Fuglede theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-10T09:03:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A10",
      "47A60"
    ],
    "keywords": [
      "commutativity",
      "complex hilbert space",
      "operator exponentials implies",
      "bounded normal operators",
      "similarities results"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.2202H"
    }
  }
}