Projections in the J-sums of Banach spaces
We study some families of projections in the J -sums of Banach spaces J (Φ) and Jˆ(Φ) introduced by Bellenot. As an application, we show that, under some conditions, J (Φ) and Jˆ(Φ) are subprojective, i.e., every closed infinite-dimensional subspace of either of them contains a complemented infinite...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Recursos: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unican.es:10902/34023 |
| Acesso em linha: | https://hdl.handle.net/10902/34023 |
| Access Level: | acceso abierto |
| Palavra-chave: | Projections Complemented Banach space J-sum of Banach spaces |
| Resumo: | We study some families of projections in the J -sums of Banach spaces J (Φ) and Jˆ(Φ) introduced by Bellenot. As an application, we show that, under some conditions, J (Φ) and Jˆ(Φ) are subprojective, i.e., every closed infinite-dimensional subspace of either of them contains a complemented infinite-dimensional subspace. |
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