{
  "abstract": "We establish BMV-type results and prove the positivity-preserving property and uniqueness of support-normalized spectral shift functions of arbitrary order for semibounded operators with relatively Schatten-von Neumann perturbations. We also derive correlation inequalities in the relative Hilbert-Schmidt case. These results build on a new positivity-preserving property for the trace of a higher-order operator derivative along a relatively Schatten direction and are obtained using methods of multilinear operator integration and approximation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05879",
  "author_total": 2,
  "authors": [
    {
      "name": "Chandan Pradhan"
    },
    {
      "name": "Anna Skripka"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1kc142qhgq6cf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05879",
  "fulltext_url": null,
  "id": "1kc142qhgq6cf",
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  "landing_url": "https://arxiv.org/abs/2611.05879",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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      "arxiv",
      "math-ph"
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      "arxiv",
      "math.AP"
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  "pdf_url": "https://arxiv.org/pdf/2611.05879",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1kc142qhgq6cf.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:56Z",
      "native_id": "2611.05879",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05879"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "BMV conjecture and positivity of spectral shift for relatively Schatten perturbations",
  "title_text": "BMV conjecture and positivity of spectral shift for relatively Schatten perturbations",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:30Z",
  "url": "https://research.draconitic.com/paper/1kc142qhgq6cf",
  "venue": "arXiv",
  "versions": []
}