9 citations · 14 across the 4 of their papers we have counts for
10 papers · 1 filter
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 Daugavet indices of thickness
Rainis Haller, Johann Langemets, Vegard Lima +2
Inspired by R. Whitley's thickness index the last named author recently introduced the Daugavet index of thickness of Banach spaces. We continue the investigation of the behavior o…
Daugavet- and Delta-points in absolute sums of Banach spaces
Rainis Haller, Katriin Pirk, Triinu Veeorg
A Daugavet-point (resp.~-point) of a Banach space is a norm one element for which every point in the unit ball (resp.~element itself) is in the closed convex hull of uni…
Delta- and Daugavet-points in Banach spaces
Trond Arnold Abrahamsen, Rainis Haller, Vegard Lima +1
A -point of a Banach space is a norm one element that is arbitrarily close to convex combinations of elements in the unit ball that are almost at distance from . If,…
Banach spaces where convex combinations of relatively weakly open subsets of the unit ball are relatively weakly open
Trond Arnold Abrahamsen, Julio Becerra Guerrero, Rainis Haller +2
We introduce and study Banach spaces which have property CWO, i.e., every finite convex combination of relatively weakly open subsets of their unit ball is open in the relative wea…