{
  "id": "1905.00226",
  "version": "v1",
  "published": "2019-05-01T08:56:21.000Z",
  "updated": "2019-05-01T08:56:21.000Z",
  "title": "Abstract Structure of Measure Algebras on Coset Spaces of Compact Subgroups in Locally Compact Groups",
  "authors": [
    "Arash Ghaani Farashahi"
  ],
  "categories": [
    "math.FA",
    "math.GR"
  ],
  "abstract": "This paper presents a systematic operator theory approach for abstract structure of Banach measure algebras over coset spaces of compact subgroups. Let $H$ be a compact subgroup of a locally compact group $G$ and $G/H$ be the left coset space associated to the subgroup $H$ in $G$. Also, let $M(G/H)$ be the Banach measure space consists of all complex measures over $G/H$. We then introduce an operator theoretic characterization for the abstract notion of involution over the Banach measure space $M(G/H)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-01T08:56:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A85",
      "43A10",
      "43A15",
      "43A20"
    ],
    "keywords": [
      "locally compact group",
      "coset space",
      "compact subgroup",
      "abstract structure",
      "banach measure space consists"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}