The Fatou property in p-convex Banach lattices |
| |
| Authors: | Guillermo P. Curbera Werner J. Ricker |
| |
| Affiliation: | a Facultad de Matemáticas, Universidad de Sevilla, Aptdo. 1160, Sevilla 41080, Spain
b Mathematisch-Geographische Fakultät, Katholische Universität Eichstätt-Ingolstadt, D-85072 Eichstätt, Germany |
| |
| Abstract: | New features of the Banach function space  , that is, the space of all ν-scalarly pth power integrable functions (with 1?p<∞ 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. |
| |
| Keywords: | Banach function space Fatou property Vector measure Space of p-integrable functions p-Convexity |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
