{
  "abstract": "We study Birkhoff-James orthogonality and local symmetric points in the space $C(K,X)$ of vector-valued continuous functions equipped with a numerical-radius type (semi-)norm. We extend the theory of abstract numerical ranges to semi-normed spaces and obtain complete characterizations of the left and right symmetric points of $C(K,X)$ with respect to the numerical-radius (semi-) norm. We also establish corresponding results for the space $\\mathcal{K}(X)$ of compact operators on $X$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.27608",
  "author_total": 1,
  "authors": [
    {
      "name": "Shamim Sohel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1y05fy5sk6krd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.27608",
  "fulltext_url": null,
  "id": "1y05fy5sk6krd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.27608",
  "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"
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  "openalex": "W7204850310",
  "pdf_url": "https://arxiv.org/pdf/2608.27608",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1y05fy5sk6krd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:30Z",
      "native_id": "2608.27608",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.27608"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "On symmetricity of orthogonality with respect to numerical radius norm",
  "title_text": "On symmetricity of orthogonality with respect to numerical radius norm",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:30Z",
  "url": "https://research.draconitic.com/paper/1y05fy5sk6krd",
  "venue": "arXiv",
  "versions": []
}