Relatively weakly open convex combinations of slices

Abrahamsen, Trond; Lima, Vegard

doi:10.1090/proc/14120

Relatively weakly open convex combinations of slices
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by Trond A. Abrahamsen and Vegard Lima PDF

Proc. Amer. Math. Soc. 146 (2018), 4421-4427 Request permission

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.

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