Representation of Banach lattices as L1w spaces of a vector measure defined on a δ-ring
In this paper we prove that every Banach lattice having the Fatou property and having its σ-order continuous part as an order dense subset, can be represented as the space L1 w(ν) of weakly integrable functions with respect to some vector measure ν defined on a δ-ring.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universidad Católica de Valencia San Vicente Mártir |
| Repositorio: | RIUCV. Repositorio de la Universidad Católica de Valencia San Vicente Mártir |
| Idioma: | inglés |
| OAI Identifier: | oai:riucv.ucv.es:20.500.12466/5917 |
| Acceso en línea: | http://hdl.handle.net/20.500.12466/5917 |
| Access Level: | acceso abierto |
| Palabra clave: | δ-ring Banach lattices Fatou property Integration with respect to vector measures Order continuity Order density 12 Matemáticas |
| Sumario: | In this paper we prove that every Banach lattice having the Fatou property and having its σ-order continuous part as an order dense subset, can be represented as the space L1 w(ν) of weakly integrable functions with respect to some vector measure ν defined on a δ-ring. |
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