{
  "id": "2206.11237",
  "version": "v1",
  "published": "2022-06-22T17:33:45.000Z",
  "updated": "2022-06-22T17:33:45.000Z",
  "title": "BSE-properties of Vector-valued group algebras",
  "authors": [
    "Ali Rejali",
    "Mitra Amiri"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2206.07123",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $ \\mathcal{A} $ be a commutative and semisimple Banach algebra with identity norm one and $ G $ be an abelian locally compact Hausdorff group. In this paper, we study BSE-Property for $L^1(G,\\mathcal A)$ and show that $L^1(G,\\mathcal A)$ is a BSE algebra if and only if $\\mathcal A$ is so.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-22T17:33:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "vector-valued group algebras",
      "abelian locally compact hausdorff group",
      "semisimple banach algebra",
      "study bse-property",
      "identity norm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}