On density and π-weight of Lp(βN,R, μ)
[EN] The new topological concept of selective separability is able to give some estimates for density and π-weight of the Lebesgue space Lp(βN,R, μ) with 1 ≤ p < +∞. In particular, we deduce a purely topological proof of the non-separability of such a space.
| Autor: | |
|---|---|
| Tipo de documento: | Artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Lenguaje: | Inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/87181 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/87181 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Separability Selective separability Lebesgue space |
| Sumario: | [EN] The new topological concept of selective separability is able to give some estimates for density and π-weight of the Lebesgue space Lp(βN,R, μ) with 1 ≤ p < +∞. In particular, we deduce a purely topological proof of the non-separability of such a space. |
|---|