{
  "abstract": "In this paper we introduce a class of operators which we call $DW$-$L$-weakly compact operators. They carry disjointly weakly compact subsets of a Banach lattice onto $L$-weakly compact sets. The class of $DW$-$L$-weakly compact operators is closely related to two recently introduced classes of operators: almost $L$-weakly compact operators and order $L$-weakly compact operators. We show that $DW$-$L$-weakly compact operators are precisely those operators which are both almost $L$-weakly compact and order $L$-weakly compact. The adjoint and the order structure of $DW$-$L$-weakly compact operators are also considered.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34981",
  "author_total": 2,
  "authors": [
    {
      "name": "Jin Xi Chen"
    },
    {
      "name": "Qiaozhi Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5c0ymhe3neqz4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34981",
  "fulltext_url": null,
  "id": "5c0ymhe3neqz4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34981",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.FA"
    ],
    [
      "openalex",
      "2610|Advanced Banach Space Theory"
    ]
  ],
  "openalex": "W7223919054",
  "pdf_url": "https://arxiv.org/pdf/2610.34981",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5c0ymhe3neqz4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.34981",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34981"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "$DW$-$L$-Weakly Compact Operators Between Banach Lattices",
  "title_text": "DW-L-Weakly Compact Operators Between Banach Lattices",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/5c0ymhe3neqz4",
  "venue": "arXiv",
  "versions": []
}