{
  "id": "1204.0167",
  "version": "v1",
  "published": "2012-04-01T05:16:25.000Z",
  "updated": "2012-04-01T05:16:25.000Z",
  "title": "Koplienko Trace Formula",
  "authors": [
    "Arup Chattopadhyay",
    "Kalyan B. Sinha"
  ],
  "comment": "16 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Koplienko gave a trace formula for perturbations of self-adjoint operators by operators of Hilbert-Schmidt class $\\mathcal{B}_2(\\mathcal{H})$. Recently Gesztesy, Pushnitski and Simon gave an alternative proof of the trace formula when the operators involved are bounded. In this article, we give a still another proof and extend the formula for unbounded case by reducing the problem to a finite dimensional one as in the proof of Krein trace formula by Voiculescu, Sinha and Mohapatra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-01T05:16:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "koplienko trace formula",
      "krein trace formula",
      "self-adjoint operators",
      "hilbert-schmidt class",
      "simon gave"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.0167C"
    }
  }
}