{
  "abstract": "This paper is about disjoint F-transitive operators on Hilbert C*-modules, where F is a finitely invariant Furstenberg family of subsets of N. We characterize disjoint F-transitivity for generalized bilateral weighted shift operators on the standard Hilbert module over C*-algebra of compact operators on the separable Hilbert space. Then we give a sufficient condition for these operators to be disjoint chaotic and give concrete examples. We also characterize disjoint F-transitivity for generalized translation operators on the non-unitary C*-algebra and provide some applications.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02281",
  "author_total": 2,
  "authors": [
    {
      "name": "Song-Ung Ri"
    },
    {
      "name": "Hyon-Hui Ju"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7f7e10r9nj3d0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02281",
  "fulltext_url": null,
  "id": "7f7e10r9nj3d0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.02281",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
    ],
    [
      "arxiv",
      "math.OA"
    ],
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7207789943",
  "pdf_url": "https://arxiv.org/pdf/2609.02281",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7f7e10r9nj3d0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "2609.02281",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02281"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Disjoint strong transitive operators on Hilbert C*-modules",
  "title_text": "Disjoint strong transitive operators on Hilbert C*-modules",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:20Z",
  "url": "https://research.draconitic.com/paper/7f7e10r9nj3d0",
  "venue": "arXiv",
  "versions": []
}