{
  "id": "math/0610207",
  "version": "v2",
  "published": "2006-10-05T23:50:38.000Z",
  "updated": "2007-01-10T12:47:01.000Z",
  "title": "The fourth duals of Banach algebras",
  "authors": [
    "M. Eshaghi Gordji",
    "S. A. R. Hosseiniun"
  ],
  "comment": "7 pages. To appear in Italian J. of Pure and Appl. Math",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $\\cal A$ be a Banach algebra. Then $\\cal A^{**}$ the second dual of $\\cal A$ is a Banach algebra with first (second) Arens product. We study the Arens products of $\\cal A^{4}(=({\\cal A^{**}})^{**}).$ We found some conditions on $\\cal A^{**}$ to be a left ideal in $\\cal A^{4}.$ We found the biggest two sided ideal $I$ of ${\\cal A},$ in which $I$ is a left (right) ideal of ${\\cal A}^{**}$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-01-10T12:47:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46H25"
    ],
    "keywords": [
      "banach algebra",
      "fourth duals",
      "arens product",
      "second dual"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10207E"
    }
  }
}