{
  "id": "1712.10119",
  "version": "v1",
  "published": "2017-12-29T05:06:24.000Z",
  "updated": "2017-12-29T05:06:24.000Z",
  "title": "Remarks on $p$-monotone operators",
  "authors": [
    "Orestes Buenoa",
    "John Cotrina"
  ],
  "comment": "15 pages",
  "categories": [
    "math.OC",
    "math.FA"
  ],
  "abstract": "In this paper, we deal with three aspects of $p$-monotone operators. First we study $p$-monotone operators with a unique maximal extension (called pre-maximal), and with convex graph. We then deal with linear operators, and provide characterizations of $p$-monotonicity and maximal $p$-monotonicity. Finally we show that the Brezis-Browder theorem preserves $p$-monotonicity in reflexive Banach spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-29T05:06:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H04",
      "47H05",
      "49J53"
    ],
    "keywords": [
      "monotone operators",
      "brezis-browder theorem preserves",
      "unique maximal extension",
      "monotonicity",
      "convex graph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}