$C(K)$-spaces with few operators relative to posets
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908679086800896 |
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| author | Acuaviva, Antonio |
| author_facet | Acuaviva, Antonio |
| contents | Extending a method developed by Koszmider and Laustsen for constructing $C(K)$-spaces we produce families of $C(K)$-spaces with few operators relative to a partially ordered set $\mathcal{P}$. Using these spaces, we construct new $C(K)$-spaces whose closed operator ideals can be completely classified. Additionally, we use these spaces to resolve some questions regarding automatic continuity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22339 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $C(K)$-spaces with few operators relative to posets Acuaviva, Antonio Functional Analysis 47L10, 47L20, 46H10, 46E15 (Primary) 46H40, 46B26, 47B01, 54D80 (Secondary) Extending a method developed by Koszmider and Laustsen for constructing $C(K)$-spaces we produce families of $C(K)$-spaces with few operators relative to a partially ordered set $\mathcal{P}$. Using these spaces, we construct new $C(K)$-spaces whose closed operator ideals can be completely classified. Additionally, we use these spaces to resolve some questions regarding automatic continuity. |
| title | $C(K)$-spaces with few operators relative to posets |
| topic | Functional Analysis 47L10, 47L20, 46H10, 46E15 (Primary) 46H40, 46B26, 47B01, 54D80 (Secondary) |
| url | https://arxiv.org/abs/2511.22339 |