Presentación | Participantes | Bibliografía (DML-E) | Bibliografía adicional | Enlaces de interés | Otros proyectos DML | Ayuda
INICIO |
27 de julio de 2024
A remark on a theorem of Howard
| Título inglés | A remark on a theorem of Howard |
|---|---|
| Autor/es | I. Monterde ; V. Montesinos ; M. Valdivia |
| Revista | 1578-7303 |
| Publicación | 2010, 104 (1): 1-3 |
| Tipo de documento | articulo |
| Idioma | Inglés |
| Resumen inglés | Let G be a compact metrizable abelian group with normalized Haar measure ¸, ¡ the dual group of G and ¤ a subset of ¡. Let X be a Banach space and f : G ¡! X be a Pettis integrable function with respect to ¸. It has been shown that the set f ^ f(°) : ° 2 ¤g of the Fourier coe±cients of f is a relatively norm compact subset of X. We have shown by a counter-example that the converse of this result is not true, in general. We have introduced the idea of type II-¤-Weak Radon-Nikodym property (type II-¤-WRNP) of X and have shown that the converse is true for X having this property when ¤ is a Riesz set. We have also obtained several necessary and su±cient conditions for X to possess this property when ¤ is a Riesz set. |
 Acceso al artículo completo |
|