{
  "abstract": "We prove that if $E$ is a UMD symmetric Banach function space on $(0,\\infty)$, then $E(\\mathcal{M},τ)$ is UMD for every semifinite von Neumann algebra $\\mathcal{M}$ equipped with a faithful normal semifinite trace $τ$. This resolves in the affirmative an open problem that has circulated in the non-commutative world for more than four decades.",
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  "arxiv": "2609.14282",
  "author_total": 2,
  "authors": [
    {
      "name": "J Huang"
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    {
      "name": "F Sukochev"
    }
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  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.14282",
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  "id": "fva8ychgdxxx8",
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  "pdf_url": "https://hal.science/hal-05748054/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fva8ychgdxxx8.ris",
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      "first_seen": "2026-10-30T12:17:34Z",
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      "url": "https://arxiv.org/abs/2609.14282"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
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  ],
  "title": "The UMD property of symmetric operator spaces",
  "title_text": "The UMD property of symmetric operator spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/fva8ychgdxxx8",
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