{
  "id": "1604.01496",
  "version": "v1",
  "published": "2016-04-06T05:58:38.000Z",
  "updated": "2016-04-06T05:58:38.000Z",
  "title": "BSE-property for some certain Segal and Banach algebras",
  "authors": [
    "Mohammad Fozouni"
  ],
  "comment": "11 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We study the BSE-property of some certain Segal algebras which introduced recently by J. Inoue and S.-E. Takahasi and as an application, we provide examples of Banach algebras without any bounded weak approximate identity. If $G$ is a locally compact group, for a measurable and sub-multiplicative function $\\tau:G\\longrightarrow \\mathbb{C}^{\\times}$, we define the Banach algebra $L^{1}(G)_{\\tau(n)}$ consisting of all $f\\in L^{1}(G)$ with $f\\tau, f\\tau^{2},..., f\\tau^{n}\\in L^{1}(G)$ and norm $\\|f\\|_{\\tau(n)}=\\sum_{k=0}^{n}\\|f\\tau^{k}\\|_{1}$, then we investigate the BSE-property of this new Banach algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-06T05:58:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46H05",
      "46J10",
      "22D05",
      "43A25"
    ],
    "keywords": [
      "banach algebra",
      "bse-property",
      "bounded weak approximate identity",
      "locally compact group",
      "segal algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160401496F"
    }
  }
}