{
  "id": "0711.1621",
  "version": "v1",
  "published": "2007-11-10T22:03:53.000Z",
  "updated": "2007-11-10T22:03:53.000Z",
  "title": "Arens Regularity of Module Actions and the Second Adjoit of a Derivation",
  "authors": [
    "S. Mohammadzadeh",
    "H. R. E. Vishki"
  ],
  "comment": "15 pages. To appear in Bull. Austral. Math. Soc",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, first we give a simple criterion for the Arens regularity of a bilinear mapping on normed spaces, which applies in particular to Banach module actions and then we investigate those conditions under which the second adjoint of a derivation into a dual Banach module is again a derivation. As a consequence of the main result, a simple and direct proof for several older results is also included.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-10T22:03:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46H20",
      "46H25"
    ],
    "keywords": [
      "arens regularity",
      "second adjoit",
      "derivation",
      "dual banach module",
      "banach module actions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.1621M"
    }
  }
}