On the three-space property for subprojective and superprojective Banach spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909427165036544 |
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| author | González, Manuel Pello, Javier |
| author_facet | González, Manuel Pello, Javier |
| contents | We introduce the notion of subprojective and superprojective operators and we use them to prove a variation of the three-space property for subprojective and superprojective spaces. As an application, we show that some spaces considered by Johnson and Lindenstrauss are both subprojective and superprojective. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10263 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the three-space property for subprojective and superprojective Banach spaces González, Manuel Pello, Javier Functional Analysis 46B03, 46B20 We introduce the notion of subprojective and superprojective operators and we use them to prove a variation of the three-space property for subprojective and superprojective spaces. As an application, we show that some spaces considered by Johnson and Lindenstrauss are both subprojective and superprojective. |
| title | On the three-space property for subprojective and superprojective Banach spaces |
| topic | Functional Analysis 46B03, 46B20 |
| url | https://arxiv.org/abs/2412.10263 |