{
  "abstract": "This paper investigates several equivalent formulations of the unconditionally p-approximation property. Inspired by these formulations, we introduce a new approximation property, called the weak unconditionally p-approximation property, and develop a number of equivalent characterizations for it. We also examine its relationship with the corresponding duality problem and obtain a partial answer. In addition, the weak bounded approximation property is reinterpreted within the framework of unconditionally p-compact sets, leading to new characterizations. Finally, we establish a three-space result for the weak unconditionally p-approximation property by showing that this property is preserved under suitable assumptions on a complemented subspace and the corresponding quotient space.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics and Computer Science, Faculty of Sciences, Necmettin Erbakan University, Konya 42090, Türkiye"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Ayşegül Keten Çopur",
      "orcid": "0000-0002-7973-946X"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/epyctd636dn68.bib",
  "cited_by": 0,
  "doi": "10.3390/math14203776",
  "fulltext_url": null,
  "id": "epyctd636dn68",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/20/3776",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2610|Advanced Banach Space Theory"
    ]
  ],
  "openalex": "W7222987843",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/epyctd636dn68.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:29Z",
      "native_id": "10.3390/math14203776",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/20/3776"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Advanced Banach Space Theory",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Weak Approximation Properties Induced by Unconditionally p-Compact Sets",
  "title_text": "Weak Approximation Properties Induced by Unconditionally p-Compact Sets",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:29Z",
  "url": "https://research.draconitic.com/paper/epyctd636dn68",
  "venue": "Mathematics",
  "versions": []
}