{
  "id": "1302.2039",
  "version": "v2",
  "published": "2013-02-08T14:12:19.000Z",
  "updated": "2013-12-24T19:23:28.000Z",
  "title": "Representations of certain Banach algebras",
  "authors": [
    "M. R. Koushesh"
  ],
  "comment": "13 pages",
  "journal": "Topology Appl. 160 (2013), 1781-1793",
  "categories": [
    "math.FA",
    "math.GN"
  ],
  "abstract": "For a space $X$ denote by $C_b(X)$ the Banach algebra of all continuous bounded scalar-valued functions on $X$ and denote by $C_0(X)$ the set of all elements in $C_b(X)$ which vanish at infinity. We prove that certain Banach subalgebras $H$ of $C_b(X)$ are isometrically isomorphic to $C_0(Y)$, for some unique (up to homeomorphism) locally compact Hausdorff space $Y$. The space $Y$ is explicitly constructed as a subspace of the Stone--\\v{C}ech compactification of $X$. The known construction of $Y$ enables us to examine certain properties of either $H$ or $Y$ and derive results not expected to be deducible from the standard Gelfand Theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-12-24T19:23:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54D35",
      "54D65",
      "46J10",
      "46J25",
      "46E25",
      "46E15",
      "54C35",
      "46H05",
      "16S60"
    ],
    "keywords": [
      "banach algebra",
      "representations",
      "standard gelfand theory",
      "locally compact hausdorff space",
      "banach subalgebras"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.2039K"
    }
  }
}