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math.FA2022★ 1 cited
Diameter two properties for spaces of Lipschitz functions
Rainis Haller, Andre Ostrak, Märt Põldvere
We solve some open problems regarding diameter two properties within the class of Banach spaces of real-valued Lipschitz functions by using the de Leeuw transform. Namely, we show…
math.FA2022
The Lipschitz-free space over length space is locally almost square but never almost square
Rainis Haller, Jaan Kristjan Kaasik, Andre Ostrak
We prove that the Lipschitz-free space over a metric space M is locally almost square whenever M is a length space. Consequently, the Lipschitz-free space is locally almost square…