Relatively weakly open convex combinations of slices

Abstract

We show that $c_0$, and in fact $C(K)$ for any scattered compact Hausdorff space $K$, have the property that finite convex combinations of slices of the unit ball are relatively weakly open.

7 pages

References in corpus (1)

• Remarks on diameter 2 properties

Cited by in corpus (1)

• On convex combinations of slices of the unit ball in Banach spaces