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math.FA2024
Separating diameter two properties from their weak-star counterparts in spaces of Lipschitz functions
Rainis Haller, Jaan Kristjan Kaasik, Andre Ostrak
We address some open problems concerning Banach spaces of real-valued Lipschitz functions. Specifically, we prove that the diameter two properties differ from their weak-star count…
math.FA2023
Unconditional bases and Daugavet renormings
Rainis Haller, Johann Langemets, Yoël Perreau +1
We introduce a new diametral notion for points of the unit sphere of Banach spaces, that naturally complements the notion of Delta-points, but is weaker than the notion of Daugavet…