{
  "abstract": "We establish a version of the classical results concerning descriptions of isometries on $C^*$-algebras and noncommutative $L_p$-spaces due to Kadison (1951) and Yeadon (1981) in the setting of Haagerup--Schultz algebras. Precisely, we show that (not necessarily surjective) isometries on such algebras are necessarily implemented by partial isometries and trace-preserving Jordan $^*$-monomorphisms.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.27832",
  "author_total": 4,
  "authors": [
    {
      "name": "Jinghao Huang"
    },
    {
      "name": "Karimbergen Kudaybergenov"
    },
    {
      "name": "Fedor Sukochev"
    },
    {
      "name": "Bing Yan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9r8wbjxhvxtjd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.27832",
  "fulltext_url": null,
  "id": "9r8wbjxhvxtjd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.27832",
  "language": null,
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  "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"
    ]
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  "openalex": "W7204837285",
  "pdf_url": "https://arxiv.org/pdf/2608.27832",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9r8wbjxhvxtjd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:28Z",
      "native_id": "2608.27832",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.27832"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Isometries of Haagerup--Schultz algebras",
  "title_text": "Isometries of Haagerup--Schultz algebras",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:28Z",
  "url": "https://research.draconitic.com/paper/9r8wbjxhvxtjd",
  "venue": "arXiv",
  "versions": []
}