4 citations · 4 across the 5 of their papers we have counts for
7 papers
A relative version of Daugavet-points and the Daugavet property
Trond A. Abrahamsen, Ramón J. Aliaga, Vegard Lima +4
We introduce relative versions of Daugavet-points and the Daugavet property, where the Daugavet-behavior is localized inside of some supporting slice. These points present striking…
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 . Furthermo…
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 octahedraliy and Müntz spaces
André Martiny
We show that every Müntz space can be written as a direct sum of Banach spaces X and Y , where Y is almost isometric to a subspace of c and X is finite dimensional. We apply this t…