{
  "abstract": "For every von Neumann algebra \\(\\M\\), we prove that each bounded sequence in the Haagerup space \\(L_1(\\M)=\\M_*\\) admits either a norm-convergent subsequence or a \\(2\\)-co-lacunary subsequence. This answers an open problem of Parcet and Randrianantoanina \\cite[Remark~3.11]{ParcetRandrianantoanina2006} and removes both hyperfiniteness and semifiniteness.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18008",
  "author_total": 2,
  "authors": [
    {
      "name": "Jinghao Huang"
    },
    {
      "name": "Yunpeng Zhu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3xqv268gj07ah.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18008",
  "fulltext_url": null,
  "id": "3xqv268gj07ah",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18008",
  "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"
    ],
    [
      "arxiv",
      "math.OA"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7221807219",
  "pdf_url": "https://arxiv.org/pdf/2610.18008",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3xqv268gj07ah.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:19Z",
      "native_id": "2610.18008",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18008"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "The $2$-co-lacunary subsequence principle for arbitrary noncommutative $L_1$-spaces",
  "title_text": "The $2$-co-lacunary subsequence principle for arbitrary noncommutative L_1-spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:19Z",
  "url": "https://research.draconitic.com/paper/3xqv268gj07ah",
  "venue": "arXiv",
  "versions": []
}