{
  "id": "1905.05748",
  "version": "v1",
  "published": "2019-05-14T17:51:39.000Z",
  "updated": "2019-05-14T17:51:39.000Z",
  "title": "A note on left $φ$-biflat Banach algebras",
  "authors": [
    "A. Sahami",
    "M. Rostami",
    "A. Pourabbas"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we study the notion of $\\phi$-biflatness for some Banach algebras, where $\\phi$ is a non-zero multiplicative linear functional. We show that the Segal algebra $S(G)$ is left $\\phi$-biflat if and only if $G$ is amenable. Also, we characterize left $\\phi$-biflatness of semigroup algebra $\\ell^{1}(S)$ in the term of biflatness, where $S$ is a Clifford semigroup.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-14T17:51:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46M10",
      "43A07",
      "43A20"
    ],
    "keywords": [
      "biflat banach algebras",
      "biflatness",
      "non-zero multiplicative linear functional",
      "semigroup algebra",
      "segal algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}