most citedRelatively weakly open convex combinations of slices

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math.FA2023

A relative version of Daugavet-points and the Daugavet property

Trond A. Abrahamsen, Ramón J. Aliaga, Vegard Lima +4

We introduce relative versions of Daugavet-points and the Daugavet property, where the Daugavet-behavior is localized inside of some supporting slice. These points present striking…

math.FA2017★ 1 cited

Relatively weakly open convex combinations of slices

Trond A. Abrahamsen, Vegard Lima

We show that , and in fact for any scattered compact Hausdorff space , have the property that finite convex combinations of slices of the unit ball are relatively we…