{
  "abstract": "Let $\\cH$ be a separable complex Hilbert space with $\\dim\\cH\\ge3$. We characterize the bounded bijective complex-linear maps $T$ on $\\BH$ for which there exists a bijection $ψ$ of the set of conjugations,preserving commutativity in both directions, such that $T$ maps the space of $C$-symmetric operators onto the space of $ψ(C)$-symmetric operators for every conjugation $C$. We show that this condition is equivalent to the existence of a bijection $φ$ of the set of all orthonormal bases such that $T$ maps the set of all $(e_n)$-diagonal operators onto the set of all $φ((e_n))$-diagonal operators. We also characterize the corresponding preservers in dimension two using Pauli coordinates, without assuming the commutativity condition on $ψ$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.24583",
  "author_total": 2,
  "authors": [
    {
      "name": "Mayu Anzai"
    },
    {
      "name": "Shiho Oi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1cbygsj31spfp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.24583",
  "fulltext_url": null,
  "id": "1cbygsj31spfp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.24583",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.FA"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7204233533",
  "pdf_url": "https://arxiv.org/pdf/2608.24583",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1cbygsj31spfp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:50Z",
      "native_id": "2608.24583",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.24583"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Linear maps preserving families of C-symmetric operators",
  "title_text": "Linear maps preserving families of C-symmetric operators",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:50Z",
  "url": "https://research.draconitic.com/paper/1cbygsj31spfp",
  "venue": "arXiv",
  "versions": []
}