Schur bounded patterns and submajorisation

Edward McDonald; Fedor Sukochev; Dmitriy Zanin

Schur bounded patterns and submajorisation

Functional Analysis 2026-05-11 v1 Operator Algebras

Authors: Edward McDonald , Fedor Sukochev , Dmitriy Zanin

Abstract

We characterise the Schur bounded patterns of ideals of compact operators that are not closed under submajorisation, in particular the Schatten ideals $\mathcal{C}_p$ with $0<p<1.$ Conversely we characterise the ideals that are not closed under submajorisation by their Schur bounded patterns.

Keywords

monomial ideals

Cite

@article{arxiv.2605.07564,
  title  = {Schur bounded patterns and submajorisation},
  author = {Edward McDonald and Fedor Sukochev and Dmitriy Zanin},
  journal= {arXiv preprint arXiv:2605.07564},
  year   = {2026}
}

Comments

5 pages, comments welcome

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