{
  "abstract": "Let $\\mathcal M$ be a semifinite von Neumann algebra equipped with a semifinite faithful normal trace $τ$. We establish Jensen's trace inequality in full generality and characterize its equality case, which answers two questions raised in [Kosaki2013] and [HaradaKosaki2008]. As an application, we derive noncommutative Lamperti-type inequalities and their equality conditions. Employing this result, we characterize linear isometries (not necessarily surjective) on a class of $F$-normed noncommutative Orlicz spaces, which provides a noncommutative Lamperti's theorem for linear isometries.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.30172",
  "author_total": 3,
  "authors": [
    {
      "name": "Kai Fang"
    },
    {
      "name": "Xin He"
    },
    {
      "name": "Jinghao Huang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7yyk2mm6gs4dk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.30172",
  "fulltext_url": null,
  "id": "7yyk2mm6gs4dk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.30172",
  "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",
      "2604|Mathematical Inequalities and Applications"
    ]
  ],
  "openalex": "W7204882348",
  "pdf_url": "https://arxiv.org/pdf/2608.30172",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7yyk2mm6gs4dk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "2608.30172",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.30172"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Jensen' s trace inequality with equality condition and noncommutative Lamperti's theorem",
  "title_text": "Jensen' s trace inequality with equality condition and noncommutative Lamperti's theorem",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:20Z",
  "url": "https://research.draconitic.com/paper/7yyk2mm6gs4dk",
  "venue": "arXiv",
  "versions": []
}