{
  "abstract": "Let $\\mathfrak{J}$ be a JB$^*$-algebra with no quotients isomorphic to any spin factor. Let $μ$ be a local quasi-linear Jordan functional on $\\mathfrak{J}_{sa}$. We show that $μ$ is a linear functional on $\\mathfrak{J}_{sa}$ if and only if the restriction of $μ$ to the closed unit ball of $\\mathfrak{J}_{sa}$ is uniformly weakly continuous.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.06120",
  "author_total": 1,
  "authors": [
    {
      "name": "Gerardo M. Escolano"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/24ddcct1pykem.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.06120",
  "fulltext_url": null,
  "id": "24ddcct1pykem",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.06120",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.OA"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7160620670",
  "pdf_url": "https://arxiv.org/pdf/2605.06120",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/24ddcct1pykem.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:19Z",
      "native_id": "2605.06120",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.06120"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "The Quasi-linearity problem for Jordan-Banach algebras: a topological characterization",
  "title_text": "The Quasi-linearity problem for Jordan-Banach algebras: a topological characterization",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:51Z",
  "url": "https://research.draconitic.com/paper/24ddcct1pykem",
  "venue": "arXiv",
  "versions": []
}