A note on fragmentability and weak-G_delta sets

Abstract

In terms of fragmentability, we describe a new class of Banach spaces which do not contain weak-G_delta open bounded subsets. In particular, none of these spaces is isomorphic to a separable polyhedral space.

Cited by in corpus (1)

• Orlicz functions that do not satisfy the ${\Delta }_2$-condition and high order Gateaux smoothness in $h_M(\Gamma )$