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math.FA2025
Norm-one points in convex combinations of relatively weakly open subsets of the unit ball in the spaces
Rainis Haller, Paavo Kuuseok, Märt Põldvere
In a paper published in 2020 in Studia Mathematica, Abrahamsen et al. proved that in the real space , where is a non-zero -finite (countably additive non-negative) m…
math.FA2025
The local diameter two property and the diameter two property in spaces of Lipschitz functions
Rainis Haller, Jaan Kristjan Kaasik, Andre Ostrak
We separate the local diameter two property from the diameter two property and their weak-star counterparts from each other in spaces of Lipschitz functions. We characterise the $w…