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arXiv · 2605.07564

Schur bounded patterns and submajorisation

Edward McDonald·Fedor Sukochev·Dmitriy Zanin
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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.

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Edward McDonald, Fedor Sukochev, Dmitriy Zanin. 2026-05-08. Schur bounded patterns and submajorisation. https://arxiv.org/abs/2605.07564

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