On a question of Pełczyński about multilinear operators
We show that a separable Banach space X has the Schur property if and only if every separately compact bilinear application from X into c0 is completely continuous, thus answering a question raised by Pełczyński.
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2000 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/56928 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/56928 |
| Access Level: | acceso abierto |
| Palabra clave: | 519.253 Schur property Multilinear operators Análisis numérico 1206 Análisis Numérico |
| Sumario: | We show that a separable Banach space X has the Schur property if and only if every separately compact bilinear application from X into c0 is completely continuous, thus answering a question raised by Pełczyński. |
|---|