{
  "abstract": "For every nonzero real number $a,$ we prove that the integral Hankel operator on $L^2(\\mathbb R_{+})$ with kernel $k(t)=t^{-1+ia}$ is noncompact quasinilpotent. This answers in the affirmative a question by Peller \\cite{Peller1998} about the existence of noncompact quasinilpotent Hankel operators. Moreover, we obtain the corresponding Hankel operators on the Hardy space with symbols $\\left((1-z)/(1+z)\\right)^{ia}.$",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25184",
  "author_total": 1,
  "authors": [
    {
      "name": "Yuanqi Sang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e3sde8eg8v2z2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25184",
  "fulltext_url": null,
  "id": "e3sde8eg8v2z2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25184",
  "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/2609.25184",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e3sde8eg8v2z2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2609.25184",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25184"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Examples of Noncompact Quasinilpotent Hankel Operators",
  "title_text": "Examples of Noncompact Quasinilpotent Hankel Operators",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/e3sde8eg8v2z2",
  "venue": "arXiv",
  "versions": []
}