{
  "id": "math/0403327",
  "version": "v1",
  "published": "2004-03-19T23:26:27.000Z",
  "updated": "2004-03-19T23:26:27.000Z",
  "title": "An extension of the Koplienko-Neidhardt trace formulae",
  "authors": [
    "Vladimir Peller"
  ],
  "comment": "21 pages",
  "categories": [
    "math.FA",
    "math.CA",
    "math.CV"
  ],
  "abstract": "Koplienko [Ko] found a trace formula for perturbations of self-adjoint operators by operators of Hilbert Schmidt class $\\bS_2$. A similar formula in the case of unitary operators was obtained by Neidhardt [N]. In this paper we improve their results and obtain sharp conditions under which the Koplienko--Neidhardt trace formulae hold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-03-19T23:26:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A55",
      "47A63",
      "47B10",
      "46E35"
    ],
    "keywords": [
      "koplienko-neidhardt trace formulae hold",
      "hilbert schmidt class",
      "self-adjoint operators",
      "unitary operators",
      "similar formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......3327P"
    }
  }
}