{
  "abstract": "We establish a noncommutative version of a familiar Johnson--Maurey--Schechtman--Tzafriri Theorem, by showing that for any $0 <p<2$ and a (not necessarily semifinite) von Neumann algebra $\\mathcal{M}$ on a separable Hilbert space, if a symmetric quasi-Banach function space $E(0,1) $ containing the function $t\\mapsto t^{-1/p}$, $0<t\\le 1, $ then there exists a noncommutative probability space $(\\mathcal{N},σ)$ such that $L_p(\\mathcal{M})$ is isometric to a subspace of $E(\\mathcal{N},σ)$. In particular, this answers two questions raised by Randrianantoanina in 2006.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.27827",
  "author_total": 4,
  "authors": [
    {
      "name": "Jinghao Huang"
    },
    {
      "name": "Marius Junge"
    },
    {
      "name": "Fedor Sukochev"
    },
    {
      "name": "Dmitriy Zanin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f8b2v6v4xyamk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.27827",
  "fulltext_url": null,
  "id": "f8b2v6v4xyamk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.27827",
  "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": "W7214216749",
  "pdf_url": "https://arxiv.org/pdf/2609.27827",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f8b2v6v4xyamk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:00Z",
      "native_id": "2609.27827",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.27827"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Isometric embeddings of noncommutative $L_p$-spaces into noncommutative symmetric spaces",
  "title_text": "Isometric embeddings of noncommutative L_p-spaces into noncommutative symmetric spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/f8b2v6v4xyamk",
  "venue": "arXiv",
  "versions": []
}