{
  "id": "2106.05780",
  "version": "v1",
  "published": "2021-06-10T14:33:13.000Z",
  "updated": "2021-06-10T14:33:13.000Z",
  "title": "Higher-order spectral shift for pairs of contractions via multiplicative path",
  "authors": [
    "Arup Chattopadhyay",
    "Chandan Pradhan"
  ],
  "comment": "26 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In \\cite{Mor}, Marcantognini and Mor\\'{a}n obtained Koplienko-Neidhardt trace formula for pairs of contractions and pairs of maximal dissipative operators via multiplicative path. In this article, we prove the existence of higher-order spectral shift functions for pairs of contractions and pairs of maximal dissipative operators via multiplicative path by adapting the argument employed in \\cite{Mor}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-10T14:33:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A55",
      "47A56",
      "47A13",
      "47B10"
    ],
    "keywords": [
      "multiplicative path",
      "contractions",
      "maximal dissipative operators",
      "higher-order spectral shift functions",
      "koplienko-neidhardt trace formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}