{
  "abstract": "In his 2018 paper ``On the unique predual problem for Lipschitz spaces'', N. Weaver published proofs that Banach spaces $\\mathrm{Lip}_0(M)$ of Lipschitz functions on a complete metric space $M$ have strongly unique preduals whenever $M$ has finite diameter or is geodesic. A gap was recently noticed in the proof of a crucial lemma that claimed that the property of having a strongly unique predual passes to 1-codimensional weak$^*$-closed subspaces. In this note, we confirm that the lemma is actually false by providing an explicit counterexample. We also expand on some of Weaver's original arguments to provide a new, valid proof of the following particular case: $\\mathrm{Lip}_0(M)$ has a strongly unique predual whenever $M$ is a convex subset of a finite-dimensional normed space.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.00970",
  "author_total": 2,
  "authors": [
    {
      "name": "Ramón J. Aliaga"
    },
    {
      "name": "Felipe Vico"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ev24a4y5hk4d1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.00970",
  "fulltext_url": null,
  "id": "ev24a4y5hk4d1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.00970",
  "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": "W7206204050",
  "pdf_url": "https://arxiv.org/pdf/2609.00970",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ev24a4y5hk4d1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:04Z",
      "native_id": "2609.00970",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.00970"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "The unique predual problem for Lipschitz spaces, revisited",
  "title_text": "The unique predual problem for Lipschitz spaces, revisited",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:04Z",
  "url": "https://research.draconitic.com/paper/ev24a4y5hk4d1",
  "venue": "arXiv",
  "versions": []
}