{
  "abstract": "This paper continues the study of conditional symmetric systems initiated in arXiv:2601.15784 and solves several problems posed there. While the interaction between unconditionality and symmetry is well known in the Banach setting following the work in arXiv:2304.05888 and arXiv:2601.15784, we broaden the scope and address similar questions for spreading systems in the more general setting of quasi-Banach spaces. Our aim is twofold. On the one hand, we characterize which spreading systems of Banach spaces are unconditional. On the other hand, we provide examples of quasi-Banach spaces equipped with conditional systems with symmetry-related properties to illustrate the connections between symmetry, greedy-like properties, and the Schauder basis property in the absence of local convexity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41568",
  "author_total": 3,
  "authors": [
    {
      "name": "José L. Ansorena"
    },
    {
      "name": "Miguel Berasategui"
    },
    {
      "name": "Alejandro Marcos"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/55gzyvfx44awn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41568",
  "fulltext_url": null,
  "id": "55gzyvfx44awn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.41568",
  "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/2610.41568",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/55gzyvfx44awn.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.41568",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41568"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "The role of symmetry in the performance of the Thresholding Greedy Algorithm",
  "title_text": "The role of symmetry in the performance of the Thresholding Greedy Algorithm",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:52Z",
  "url": "https://research.draconitic.com/paper/55gzyvfx44awn",
  "venue": "arXiv",
  "versions": []
}