{
  "id": "1802.04745",
  "version": "v1",
  "published": "2018-02-13T17:11:39.000Z",
  "updated": "2018-02-13T17:11:39.000Z",
  "title": "A counterexample to a nonlinear version of the Krein-Rutman theorem by R. Mahadevan",
  "authors": [
    "Ari Arapostathis"
  ],
  "comment": "To appear in Nonlinear Analysis, 6 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this short note we present a simple counterexample to a nonlinear version of the Krein-Rutman theorem reported in [Nonlinear Anal. 11 (2007), 3084-3090]. Correct versions of this theorem, and related results for superadditive maps are also presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-13T17:11:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H07",
      "47H10",
      "47J10",
      "47B65"
    ],
    "keywords": [
      "krein-rutman theorem",
      "nonlinear version",
      "short note",
      "simple counterexample",
      "nonlinear anal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}