On the Gelfand-Phillips property in Banach spaces with PRI
- Autores: K. K. Arora, Deba P. Sinha
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 3, 1997, págs. 347-354
- Idioma: inglés
- Enlaces
-
Resumen
It is proved that every Banach space belonging to a certain class called the class $\mathcal{P}$ possesses the Gelfand-Phillips property. Consequently, so does every weakly countably determined Banach space, every Banach space with an $M$-basis whose dual unit ball is weak$^\ast$ angelic and $C(K)$ spaces for Valdivia compact $K$.
¿Es nuevo? Regístrese
Ventajas de registrarse
