{
  "abstract": "Convex-cyclic operators are considered by H. Rezaei \\cite{R1}. However, there is a general lack of theoretical understanding of super convex-cyclic operators. In this paper, we analyze super convex-cyclic operators. In particular, Super Convex-cyclicity Criterion is described. Additionally, we characterize convex-cyclicity of (invertible) bilateral weighted shifts in terms of their weight sequences, which in turn correct \\cite[H. Rezaei (2013) Theorem 4.2 ]{R1}. Meanwhile, we give super convex-cyclicity of (invertible) weighted shifts in the bilateral case.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26978",
  "author_total": 2,
  "authors": [
    {
      "name": "Cui Wang"
    },
    {
      "name": "Ze-Hua Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/58rpwpra6yqp3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26978",
  "fulltext_url": null,
  "id": "58rpwpra6yqp3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26978",
  "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.FA"
    ],
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7223129908",
  "pdf_url": "https://arxiv.org/pdf/2610.26978",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/58rpwpra6yqp3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:08Z",
      "native_id": "2610.26978",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26978"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Convex-cyclic and super convex-cyclic weighted shifts",
  "title_text": "Convex-cyclic and super convex-cyclic weighted shifts",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:08Z",
  "url": "https://research.draconitic.com/paper/58rpwpra6yqp3",
  "venue": "arXiv",
  "versions": []
}