Resumen de On the Gelfand-Phillips property in Banach spaces with PRI

K. K. Arora, Deba P. Sinha

• 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 $K$.