{
  "abstract": "This paper presents a method for exhibiting functions $F$ in the little Bloch space $\\B_0$ which are invertible, in the sense that $1/F$ also belongs to $\\B_0$, and yet fail to be cyclic for the forward shift. The functions obtained in this way give rise to shift-invariant subspaces in $\\B_0$ of index two, of a special type. The approach rests on a harmonic-measure criterion for non-cyclicity. This criterion gives a new manifestation of a principle of Borichev and Hedenmalm, and applies in a broad class of spaces of analytic functions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26318",
  "author_total": 1,
  "authors": [
    {
      "name": "Adem Limani"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4pna9t2j6hmt7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26318",
  "fulltext_url": null,
  "id": "4pna9t2j6hmt7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26318",
  "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.CV"
    ],
    [
      "arxiv",
      "math.FA"
    ],
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7223052303",
  "pdf_url": "https://arxiv.org/pdf/2610.26318",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4pna9t2j6hmt7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.26318",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26318"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Invertible non-cyclic functions in the little Bloch space",
  "title_text": "Invertible non-cyclic functions in the little Bloch space",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/4pna9t2j6hmt7",
  "venue": "arXiv",
  "versions": []
}