{
  "id": "1005.4319",
  "version": "v1",
  "published": "2010-05-24T12:27:15.000Z",
  "updated": "2010-05-24T12:27:15.000Z",
  "title": "A generalization of the weak amenability of some Banach algebra",
  "authors": [
    "Kazem Haghnejad Azar"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $A$ be a Banach algebra and $A^{**}$ be the second dual of it. We show that by some new conditions, $A$ is weakly amenable whenever $A^{**}$ is weakly amenable. We will study this problem under generalization, that is, if $(n+2)-th$ dual of $A$, $A^{(n+2)}$, is $T-S-$weakly amenable, then $A^{(n)}$ is $T-S-$weakly amenable where $T$ and $S$ are continuous linear mappings from $A^{(n)}$ into $A^{(n)}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-24T12:27:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L06",
      "46L07",
      "46L10",
      "47L25"
    ],
    "keywords": [
      "banach algebra",
      "weak amenability",
      "generalization",
      "weakly amenable",
      "second dual"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.4319H"
    }
  }
}