{
  "id": "1007.1651",
  "version": "v1",
  "published": "2010-07-09T19:29:22.000Z",
  "updated": "2010-07-09T19:29:22.000Z",
  "title": "The higher duals of certain class of Banach algebras",
  "authors": [
    "A. R. Khoddami",
    "H. R. Ebrahimi Vishki"
  ],
  "comment": "6 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Given a Banach space $A$ and fix a non-zero $\\varphi\\in A^*$ with $\\|\\varphi\\|\\leq 1$. Then the product $a\\cdot b=\\langle\\varphi, a\\rangle\\ b$ turning $A$ into a Banach algebra which will be denoted by $_\\varphi A.$ Some of the main properties of $_\\varphi A$ such as Arens regularity, $n$-weak amenability and semi-simplicity are investigated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-09T19:29:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46H20",
      "46H25"
    ],
    "keywords": [
      "banach algebra",
      "higher duals",
      "banach space",
      "main properties",
      "arens regularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.1651K"
    }
  }
}