3 papers
math.FA2025
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…
math.FA2025
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.…
math.FA2024
Delta-points and their implications for the geometry of Banach spaces
Trond A. Abrahamsen, Ramón J. Aliaga, Vegard Lima +4
We show that the Lipschitz-free space with the Radon--Nikodým property and a Daugavet point recently constructed by Veeorg is in fact a dual space isomorphic to . Furtherm…