
We show that c 0 c_0 and, in fact, C ( K ) C(K) for any scattered compact Hausdorff space K K have the property that finite convex combinations of slices of the unit ball are relatively weakly open.
Mathematics - Functional Analysis, Geometry and structure of normed linear spaces, convex combinations of slices, scattered compact space, relatively weakly open set, 46B04, 46B20, FOS: Mathematics, Isometric theory of Banach spaces, Functional Analysis (math.FA)
Mathematics - Functional Analysis, Geometry and structure of normed linear spaces, convex combinations of slices, scattered compact space, relatively weakly open set, 46B04, 46B20, FOS: Mathematics, Isometric theory of Banach spaces, Functional Analysis (math.FA)
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