39 citations · 39 across the 3 of their papers we have counts for
9 papers · 1 filter
Asymptotic geometry and delta-points
Trond A. Abrahamsen, Vegard Lima, André Martiny +1
We study Daugavet- and -points in Banach spaces. A norm one element is a Daugavet-point (respectively a -point) if in every slice of the unit ball (respectively in every…
Delta-points in Banach spaces generated by adequate families
Trond A. Abrahamsen, Vegard Lima, André Martiny
We study delta-points in Banach spaces generated by adequate families where . In the case the familiy is regular and…
Daugavet- and delta-points in Banach spaces with unconditional bases
Trond A. Abrahamsen, Vegard Lima, André Martiny +1
We study the existence of Daugavet- and delta-points in the unit sphere of Banach spaces with a -unconditional basis. A norm one element in a Banach space is a Daugavet-poin…
Almost square dual Banach spaces
Trond A. Abrahamsen, Petr Hájek, Stanimir Troyanski
We show that finite dimensional Banach spaces fail to be uniformly non locally almost square. Moreover, we construct an equivalent almost square bidual norm on As a…
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…