Schur bounded patterns and submajorisation
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866913102574911488 |
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| author | McDonald, Edward Sukochev, Fedor Zanin, Dmitriy |
| author_facet | McDonald, Edward Sukochev, Fedor Zanin, Dmitriy |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_07564 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Schur bounded patterns and submajorisation McDonald, Edward Sukochev, Fedor Zanin, Dmitriy Functional Analysis Operator Algebras 47B10, 47L80, 47A30 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. |
| title | Schur bounded patterns and submajorisation |
| topic | Functional Analysis Operator Algebras 47B10, 47L80, 47A30 |
| url | https://arxiv.org/abs/2605.07564 |