4 citations · 5 across the 11 of their papers we have counts for
5 papers · 2 filters
Banach spaces with small weakly open subsets of the unit ball and massive sets of Daugavet and -points
Christian Cobollo, Daniel Isert, Ginés López-Pérez +6
We prove that there exists an equivalent norm on with the following properties: (1) The unit ball of $(L_\infty[0,1],\Vert\vert\cdot\ver…
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…
Unconditional bases and Daugavet renormings
Rainis Haller, Johann Langemets, Yoël Perreau +1
We introduce a new diametral notion for points of the unit sphere of Banach spaces, that naturally complements the notion of Delta-points, but is weaker than the notion of Daugavet…
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…
Diametral notions for elements of the unit ball of a Banach space
Miguel Martin, Yoël Perreau, Abraham Rueda Zoca
We introduce extensions of -points and Daugavet points in which slices are replaced by relative weakly open subsets (super -points and super Daugavet points) or by convex com…