39 citations · 39 across the 5 of their papers we have counts for
12 papers · 1 filter
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…
Strictly convex norms and the local diameter two property
Trond A. Abrahamsen, Petr Hájek, Vegard Lima +1
We introduce and study a strict monotonicity property of the norm in solid Banach lattices of real functions that prevents such spaces from having the local diameter two property.…
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…
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…