{
  "id": "math/0611916",
  "version": "v3",
  "published": "2006-11-29T13:21:11.000Z",
  "updated": "2008-07-18T07:34:42.000Z",
  "title": "The Atkinson Theorem in Hilbert C*-Modules Over C*-Algebras of Compact Operators",
  "authors": [
    "Assadollah Niknam",
    "Kamran Sharifi"
  ],
  "comment": "8 pages, the proof of the Theorem 2.3 was omitted, to appear in Abstract and Applied Analysis",
  "categories": [
    "math.OA",
    "math.FA"
  ],
  "abstract": "In this paper the concept of unbounded Fredholm operators on Hilbert C*- modules over an arbitrary C*-algebra is discussed and the Atkinson theorem is generalized for bounded and unbounded Feredholm operators on Hilbert C*-modules over C*-algebras of compact operators. In the framework of Hilbert C*-modules over C*-algebras of compact operators, the index of an unbounded Fredholm operator and the index of its bounded transform are the same.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-07-18T07:34:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A53",
      "46L05",
      "47L60"
    ],
    "keywords": [
      "compact operators",
      "atkinson theorem",
      "unbounded fredholm operator",
      "unbounded feredholm operators",
      "bounded transform"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007AbApA2007E..20N"
    }
  }
}