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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2409.10477 |
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| _version_ | 1866915496268398592 |
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| author | Candido, Leandro |
| author_facet | Candido, Leandro |
| contents | Using Ostaszewski's $\clubsuit$-principle, we construct a non-metrizable, locally compact, scattered space $L$ in which the operators on the Banach space $C_0(L \times L)$ exhibit a remarkably simple structure. We provide a detailed analysis and, through a series of decomposition steps, offer an explicit characterization of all operators on $C_0(L \times L)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10477 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Few operators on Banach spaces $C_0(L\times L)$ Candido, Leandro Functional Analysis Using Ostaszewski's $\clubsuit$-principle, we construct a non-metrizable, locally compact, scattered space $L$ in which the operators on the Banach space $C_0(L \times L)$ exhibit a remarkably simple structure. We provide a detailed analysis and, through a series of decomposition steps, offer an explicit characterization of all operators on $C_0(L \times L)$. |
| title | Few operators on Banach spaces $C_0(L\times L)$ |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2409.10477 |