Spaces of p-integrable functions with respect to a vector measure defined on a delta-ring
[EN] The lattice properties of the Banach lattices Lp(m) and Lpw(m) of p-integrable real-valued functions and weakly p-integrable real-valued functions with respect to a vector measure m defined on a delta-ring are studied. The relation between these two spaces, the study of the continuity and some...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/90960 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/90960 |
| Access Level: | acceso abierto |
| Palabra clave: | Banach lattice Vector measure Integration MATEMATICA APLICADA |
| Sumario: | [EN] The lattice properties of the Banach lattices Lp(m) and Lpw(m) of p-integrable real-valued functions and weakly p-integrable real-valued functions with respect to a vector measure m defined on a delta-ring are studied. The relation between these two spaces, the study of the continuity and some kind of compactness properties of certain multiplication operators between different spaces Lp and/or Lqw and the representation theorems of general Banach lattices via these spaces play a fundamental role. |
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