{
  "id": "math/0610137",
  "version": "v2",
  "published": "2006-10-04T10:02:24.000Z",
  "updated": "2006-10-05T16:42:33.000Z",
  "title": "Derivations into duals of closed ideals of Banach algebras",
  "authors": [
    "M. Eshaghi Gordji",
    "B. Hayati",
    "S. A. R. Hosseiniun"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $\\cal A$ be a Banach algebra. We study those closed ideals $I$ of $\\cal A$ for which the first cohomology group of $\\cal A$ with coefficients in $I^*$ is trivial; i.e. $H^1(\\cal A,I^*)=\\{0\\}$. We investigate such closed ideals when $\\cal A$ is weakly amenable or biflat. Also we give some hereditary properties of ideal amenability.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-10-05T16:42:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46H25"
    ],
    "keywords": [
      "closed ideals",
      "banach algebra",
      "derivations",
      "first cohomology group",
      "hereditary properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10137E"
    }
  }
}