{
  "abstract": "As the cornerstone of multivariable operator theory, (essential) Taylor's joint spectrum plays crucial roles in many areas. The present paper is devoted to developing the theory of (essential) Taylor-type joint spectrum of row-bounded sequences of commuting operators on Hilbert spaces and to establishing the associated Fredholm index theory. Furthermore, the holomorphic functional calculus for row-bounded sequences is established. At last, we obtain a Gleason-Richter-Sundberg type index theorem in the infinite-variable setting, which connects the Fredholm index, the asymptotic Arveson's curvature invariant and fibre dimensions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41882",
  "author_total": 4,
  "authors": [
    {
      "name": "Penghui Wang"
    },
    {
      "name": "Fan Zhang"
    },
    {
      "name": "Ruoyu Zhang"
    },
    {
      "name": "Zeyou Zhu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3040rfeh0cg63.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41882",
  "fulltext_url": null,
  "id": "3040rfeh0cg63",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.41882",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2610.41882",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3040rfeh0cg63.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.41882",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41882"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Taylor-type joint spectrum and essential spectrum of row-bounded sequences of commuting operators",
  "title_text": "Taylor-type joint spectrum and essential spectrum of row-bounded sequences of commuting operators",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:53Z",
  "url": "https://research.draconitic.com/paper/3040rfeh0cg63",
  "venue": "arXiv",
  "versions": []
}