{
  "abstract": "In previous work \\cite{Zha26a}, the author established Clarkson--McCarthy type inequalities for several classes of operator families, including $\\ell_p$--$\\ell_p$ estimates and mixed $\\ell_q$--$\\ell_p$ estimates, by means of operator square-sum identities. The present paper has two main aims. First, using the tracial joint spectral measures recently introduced by O.~Heinävaara \\cite{Hei25}, we obtain several refinements of the McCarthy--Clarkson inequalities, one of which confirms a conjecture of Audenaert \\cite{AK17}. Second, combining tools from matrix analysis with complex interpolation theory, we establish Clarkson--McCarthy type inequalities for unitary orbits, unitarily invariant norms, and $\\ell_s$--$\\ell_s$ estimates, again in the framework of operator square-sum identities.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00459",
  "author_total": 1,
  "authors": [
    {
      "name": "Teng Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5n2cgg4hhjzzf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00459",
  "fulltext_url": null,
  "id": "5n2cgg4hhjzzf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00459",
  "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/2611.00459",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5n2cgg4hhjzzf.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.00459",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00459"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Clarkson--McCarthy type inequalities, part II: refinements, unitary orbits, unitarily invariant norms and $\\ell_s$--$\\ell_s$ estimates",
  "title_text": "Clarkson--McCarthy type inequalities, part II: refinements, unitary orbits, unitarily invariant norms and ℓ_s--ℓ_s estimates",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/5n2cgg4hhjzzf",
  "venue": "arXiv",
  "versions": []
}