{
  "id": "1802.10454",
  "version": "v1",
  "published": "2018-02-26T23:24:19.000Z",
  "updated": "2018-02-26T23:24:19.000Z",
  "title": "Dissipative operators and operator Lipschitz functions",
  "authors": [
    "Aleksei Aleksandrov",
    "Vladimir Peller"
  ],
  "comment": "14 pages. arXiv admin note: text overlap with arXiv:1009.0298",
  "categories": [
    "math.FA",
    "math.CA",
    "math.CV",
    "math.SP"
  ],
  "abstract": "The purpose of this paper is to obtain an integral representation for the difference $f(L_1)-f(L_2)$ of functions of maximal dissipative operators. This representation in terms of double operator integrals will allow us to establish Lipschitz type estimates for functions of maximal dissipative operators. We also consider a similar problem for quasicommutators, i.e., operators of the form $f(L_1)R-Rf(L_2)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-26T23:24:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A55",
      "47A60",
      "47A63",
      "47B44"
    ],
    "keywords": [
      "operator lipschitz functions",
      "maximal dissipative operators",
      "establish lipschitz type estimates",
      "similar problem",
      "integral representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}