{
  "abstract": "Let $B$ be a unilateral weighted backward shift on $\\ell_p$, $1 \\leq p < \\infty$, that admits a $\\mathscr{U}$-frequently hypercyclic subspace. We prove that $B$ admits such a subspace free of frequently hypercyclic vectors. The proof technique we develop also allows us to prove that $B$ admits a hypercyclic subspace free of $\\mathscr{U}$-frequently hypercyclic vectors, and to solve a question posed by Bès and Menet in 2015 on the existence of common $\\mathscr{U}$-frequently hypercyclic subspaces.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.07563",
  "author_total": 4,
  "authors": [
    {
      "name": "Nacib G. Albuquerque"
    },
    {
      "name": "Thiago R. Alves"
    },
    {
      "name": "Geraldo Botelho"
    },
    {
      "name": "Vinícius V. Fávaro"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/68tehzgbtj8te.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.07563",
  "fulltext_url": null,
  "id": "68tehzgbtj8te",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.07563",
  "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": "W7160829717",
  "pdf_url": "https://arxiv.org/pdf/2605.07563",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/68tehzgbtj8te.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:07Z",
      "native_id": "2605.07563",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.07563"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "On hypercyclic and (common) upper frequently hypercyclic subspaces",
  "title_text": "On hypercyclic and (common) upper frequently hypercyclic subspaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:07Z",
  "url": "https://research.draconitic.com/paper/68tehzgbtj8te",
  "venue": "arXiv",
  "versions": []
}