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
  • Texto completo
• 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 $K$.

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