{
  "id": "1611.01630",
  "version": "v1",
  "published": "2016-11-05T11:07:15.000Z",
  "updated": "2016-11-05T11:07:15.000Z",
  "title": "Krein's trace formula for unitary operators and operator Lipschitz functions (English translation)",
  "authors": [
    "Aleksei Aleksandrov",
    "Vladimir Peller"
  ],
  "comment": "12 pages",
  "categories": [
    "math.FA",
    "math.CA",
    "math.CV",
    "math.SP"
  ],
  "abstract": "The main result of this paper is a description of the space of functions on the unit circle, for which Krein's trace formula holds for arbitrary pairs of unitary operators with trace class difference. This space coincides with the space of operator Lipschitz functions on the unit circle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-05T11:07:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "operator lipschitz functions",
      "unitary operators",
      "english translation",
      "kreins trace formula holds",
      "unit circle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}