{
  "abstract": "In \\cite{Dan-Guo}, the authors provided a characterization of all sequences of doubly commuting pure contractions that have the sequence $\\textbf{M}_z,$ the sequence of the multiplication by the coordinate functions on the vector-valued Hardy space $H^2_\\mathcal E(\\mathbb {D}_2^{(\\infty)})$ over the Hilbert's multidisk $\\mathbb D_2^{(\\infty)},$ as their minimal isometric dilation for some Hilbert space $\\mathcal E$. In this article, we remove the hypothesis of doubly commutativity and characterize all sequences of commuting contractions that are unitarily equivalent to $(P_{\\mathcal Q}M_{z_i}|_{\\mathcal Q})_{i\\geq 1}$ for some quotient module $\\mathcal Q$ of $H^2_\\mathcal E(\\mathbb D_2^{(\\infty)})$. We further characterize those sequences for which $\\mathcal Q$ is a Beurling quotient module. This generalizes Theorem 3.2 from \\cite{BKD} to a sequence of commuting contractions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18222",
  "author_total": 2,
  "authors": [
    {
      "name": "B. Krishna Das"
    },
    {
      "name": "Shubham Rastogi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2fsh42bt18ghm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18222",
  "fulltext_url": null,
  "id": "2fsh42bt18ghm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18222",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.FA"
    ],
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7221787295",
  "pdf_url": "https://arxiv.org/pdf/2610.18222",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2fsh42bt18ghm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:20Z",
      "native_id": "2610.18222",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18222"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Isometric dilations and Beurling quotient modules",
  "title_text": "Isometric dilations and Beurling quotient modules",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:20Z",
  "url": "https://research.draconitic.com/paper/2fsh42bt18ghm",
  "venue": "arXiv",
  "versions": []
}