{
  "abstract": "Let $Y$ be the closed linear span of a subsequence of the Haar system in $L_1$. We prove that the quotient space $L_1/Y$ has cotype~$2$. This result implies that transportation cost spaces on diamond graphs have cotype $2$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.31542",
  "author_total": 4,
  "authors": [
    {
      "name": "Stephen Dilworth"
    },
    {
      "name": "Denka Kutzarova"
    },
    {
      "name": "Mikhail Ostrovskii"
    },
    {
      "name": "Thomas Speckhofer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0td935p8yvtyh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.31542",
  "fulltext_url": null,
  "id": "0td935p8yvtyh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.31542",
  "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",
      "2610|Advanced Banach Space Theory"
    ]
  ],
  "openalex": "W7214644626",
  "pdf_url": "https://arxiv.org/pdf/2609.31542",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0td935p8yvtyh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:57Z",
      "native_id": "2609.31542",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.31542"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Quotients of $L_1$ by subsequences of the Haar system have cotype 2",
  "title_text": "Quotients of L_1 by subsequences of the Haar system have cotype 2",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/0td935p8yvtyh",
  "venue": "arXiv",
  "versions": []
}