{
  "id": "2410.00080",
  "version": "v1",
  "published": "2024-09-30T17:09:55.000Z",
  "updated": "2024-09-30T17:09:55.000Z",
  "title": "The Laplacian of an operator and the radial Toeplitz algebra",
  "authors": [
    "Vishwa Dewage",
    "Mishko Mitkovski"
  ],
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "Using tools from quantum harmonic analysis, we show that the domain of the Laplacian of an operator is dense in the Toeplitz algebra over the Fock space $\\mathcal{F}^2(\\mathbb{C}^n)$. As an application, we provide a simplified treatment of the Gelfand theory of the radial Toeplitz algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-30T17:09:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35",
      "22D25",
      "30H20",
      "47L80"
    ],
    "keywords": [
      "radial toeplitz algebra",
      "quantum harmonic analysis",
      "fock space",
      "gelfand theory",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}