{
  "abstract": "We study necessary and sufficient conditions on a Banach space $X$ such that $L(Y,X)$ is transfinite (rigid) octahedral for any Banach space $Y$. We present several examples of such $X$. As application of our results, we find the first example in the literature of Banach space which is rigid octahedral but fails any transfinite version of octahedrality. We also improve some previous results about octahedrality in ultrapower spaces.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.24414",
  "author_total": 1,
  "authors": [
    {
      "name": "Abraham Rueda Zoca"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/728bz7m3j94sm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.24414",
  "fulltext_url": null,
  "id": "728bz7m3j94sm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.24414",
  "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": "W7214047451",
  "pdf_url": "https://arxiv.org/pdf/2609.24414",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/728bz7m3j94sm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.24414",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.24414"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Transfinite octahedrality in spaces of operators",
  "title_text": "Transfinite octahedrality in spaces of operators",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/728bz7m3j94sm",
  "venue": "arXiv",
  "versions": []
}