1 citations · 1 across the 8 of their papers we have counts for
8 papers
A counterexample for the Daugavet index of thickness in -sums
Rainis Haller, Andre Ostrak
We give a negative answer to a question of Haller-Langemets-Lima-Nadel-Rueda Zoca asking whether, for all Banach spaces and , the Daugavet index of thickness satisfies \[ T(…
Duality of Lipschitz-free spaces over ultrametric spaces
Trond A. Abrahamsen, Vegard Lima, Andre Ostrak
We give a metric characterisation of when the Lipschitz-free space over a separable ultrametric space is a dual Banach space. In the case where the Lipschitz-free space has a predu…
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…
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…
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…
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…
On the duality of the symmetric strong diameter property in Lipschitz spaces
Andre Ostrak
We characterise the weak symmetric strong diameter property in Lipschitz function spaces by a property of its predual, the Lipschitz-free space. We call this new property d…
Characterisation of the weak-star symmetric strong diameter 2 property in Lipschitz spaces
Andre Ostrak
We give a characterisation of the weak* symmetric strong diameter 2 property for Lipschitz function spaces in terms of a property of the corresponding metric space. Using this char…