{
  "abstract": "We present amalgam-type characterisations of compactness in quasi-Banach function spaces. We further treat, in the same spirit, several related topics, namely convergence, (uniform) absolute continuity of the norm, and almost-compact embeddings. We also treat the case of rearrangement-invariant spaces and show that most of our conditions can be formulated in terms of the non-increasing rearrangement and the representation space.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.25419",
  "author_total": 2,
  "authors": [
    {
      "name": "Dalimil Peša"
    },
    {
      "name": "Ivan Kotalík"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ae1vtkk20fber.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.25419",
  "fulltext_url": null,
  "id": "ae1vtkk20fber",
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  "landing_url": "https://arxiv.org/abs/2606.25419",
  "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"
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    [
      "openalex",
      "2610|Advanced Banach Space Theory"
    ]
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  "openalex": "W7165880482",
  "pdf_url": "https://arxiv.org/pdf/2606.25419",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ae1vtkk20fber.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:04Z",
      "native_id": "2606.25419",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.25419"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Amalgam approach to compactness in (quasi-)Banach function spaces",
  "title_text": "Amalgam approach to compactness in (quasi-)Banach function spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:04Z",
  "url": "https://research.draconitic.com/paper/ae1vtkk20fber",
  "venue": "arXiv",
  "versions": []
}