{
  "id": "2207.07808",
  "version": "v1",
  "published": "2022-07-16T01:53:43.000Z",
  "updated": "2022-07-16T01:53:43.000Z",
  "title": "A Note on the Krein-Rutman Theorem for Sectorial Operators",
  "authors": [
    "Desheng Li",
    "Ruijing Wang",
    "Luyan Zhou"
  ],
  "comment": "17 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this note we present some generalized versions of the Krein-Rutman theorem for sectorial operators. They are formulated in a fashion that can be easily applied to elliptic operators. Another feature of these generalized versions is that they contain some information on the generalized eigenspaces associated with non-principal eigenvalues, which are helpful in the study of the dynamics of evolution equations in ordered Banach spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-16T01:53:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35P05",
      "47B65",
      "47A75"
    ],
    "keywords": [
      "sectorial operators",
      "krein-rutman theorem",
      "generalized versions",
      "elliptic operators",
      "non-principal eigenvalues"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}