{
  "id": "1012.3348",
  "version": "v1",
  "published": "2010-12-15T14:36:50.000Z",
  "updated": "2010-12-15T14:36:50.000Z",
  "title": "Topological centers of $n-$th dual of module actions",
  "authors": [
    "Kazem Haghnejad Azar",
    "Abdolhamid Riazi"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we will study the topological centers of $n-th$ dual of Banach $A-module$ and we extend some propositions from Lau and \\\"{U}lger into $n-th$ dual of Banach $A-modules$ where $n\\geq 0$ is even number. Let $B$ be a Banach $A-bimodule$. By using some new conditions, we show that ${{Z}^\\ell}_{A^{(n)}}(B^{(n)})=B^{(n)}$ and ${{Z}^\\ell}_{B^{(n)}}(A^{(n)})=A^{(n)}$. We also have some conclusions in group algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-15T14:36:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological centers",
      "th dual",
      "module actions",
      "group algebras",
      "propositions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.3348H"
    }
  }
}