9 citations · 13 across the 2 of their papers we have counts for
8 papers
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…
Symmetric strong diameter two property
Rainis Haller, Johann Langemets, Vegard Lima +1
We study Banach spaces with the property that, given a finite number of slices of the unit ball, there exists a direction such that all these slices contain a line segment of lengt…
On convex combinations of slices of the unit ball in Banach spaces
Rainis Haller, Paavo Kuuseok, Märt Põldvere
We prove that the following three properties for a Banach space are all different from each other: every finite convex combination of slices of the unit ball is (1) relatively weak…