The Fatou property in p-convex Banach lattices☆
New features of the Banach function space , that is, the space of all ν-scalarly pth power integrable functions (with and ν any vector measure), are presented. The Fatou property plays an essential role and leads to a new representation theorem for a large class of abstract p-convex Banach lattices....
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2006 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/179476 |
| Acesso em linha: | https://hdl.handle.net/11441/179476 https://doi.org/10.1016/j.jmaa.2006.04.086 |
| Access Level: | acceso abierto |
| Palavra-chave: | Banach function space Fatou property Vector measure Space of p-integrable functions p-Convexity |
| Resumo: | New features of the Banach function space , that is, the space of all ν-scalarly pth power integrable functions (with and ν any vector measure), are presented. The Fatou property plays an essential role and leads to a new representation theorem for a large class of abstract p-convex Banach lattices. |
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