{
  "id": "0809.3911",
  "version": "v1",
  "published": "2008-09-23T13:26:18.000Z",
  "updated": "2008-09-23T13:26:18.000Z",
  "title": "Maximal monotonicity, conjugation and the duality product in non-reflexive Banach spaces",
  "authors": [
    "M. Marques Alves",
    "B. F. Svaiter"
  ],
  "categories": [
    "math.FA",
    "math.OC"
  ],
  "abstract": "Maximal monotone operators on a Banach space into its dual can be represented by convex functions bounded below by the duality product. It is natural to ask under which conditions a convex function represents a maximal monotone operator. A satisfactory answer, in the context of reflexive Banach spaces, has been obtained some years ago. Recently, a partial result on non-reflexive Banach spaces was obtained. In this work we study some others conditions which guarantee that a convex function represents a maximal monotone operator in non-reflexive Banach spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-23T13:26:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H05",
      "49J52"
    ],
    "keywords": [
      "non-reflexive banach spaces",
      "duality product",
      "maximal monotone operator",
      "maximal monotonicity",
      "convex function represents"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.3911M"
    }
  }
}