{
  "abstract": "In this paper we provide a positive version of Miljutin's theorem. Namely, we show that for any uncountable compact metric spaces $K$ and $L$ there exists a positive isomorphism $T:C(K)\\longrightarrow C(L)$. Moreover, the inverse of $T$ is a regular operator, and $T$ may be chosen so that $\\|T\\|_\\mathrm{r} \\cdot \\|T^{-1}\\|_\\mathrm{r} \\leq 9+6\\sqrt3$. The method also gives positive versions of classical nonmetrizable results for Miljutin and Dugundji compacta. In particular, if $G$ and $H$ are infinite compact groups of the same weight, then $C(G)$ and $C(H)$ are positively and regularly isomorphic with the same uniform quantitative estimate.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.14148",
  "author_total": 4,
  "authors": [
    {
      "name": "Javier Laguna-Ricart"
    },
    {
      "name": "Gonzalo Martínez-Cervantes"
    },
    {
      "name": "Jakub Rondoš"
    },
    {
      "name": "Alberto Salguero-Alarcón"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8bqdyy0tkg40h.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.14148",
  "fulltext_url": null,
  "id": "8bqdyy0tkg40h",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.14148",
  "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"
    ],
    [
      "openalex",
      "2610|Advanced Banach Space Theory"
    ]
  ],
  "openalex": "W7213345619",
  "pdf_url": "https://arxiv.org/pdf/2609.14148",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8bqdyy0tkg40h.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2609.14148",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.14148"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "A positive version of Miljutin's Theorem",
  "title_text": "A positive version of Miljutin's Theorem",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/8bqdyy0tkg40h",
  "venue": "arXiv",
  "versions": []
}