9 citations · 17 across the 8 of their papers we have counts for
8 papers
On Weak Compactness and Uniform Regularity in Lipschitz free Spaces
Ramón J. Aliaga, Colin Petitjean, Antonín Prochazka +1
We analyze the properties of weakly compact sets in Lipschitz free spaces. Prior research has established that, for a complete metric space , weakly precompact sets in the Lipsc…
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…
Weakly almost square Lipschitz-free spaces
Jaan Kristjan Kaasik, Triinu Veeorg
We construct a Lipschitz-free space that is locally almost square but not weakly almost square; this is the first example of such a Banach space. We also prove a result, which indi…
Daugavet- and Delta-points in spaces of Lipschitz functions
Triinu Veeorg
A norm one element of a Banach space is a Daugavet-point (respectively,~a -point) if every slice of the unit ball (respectively,~every slice of the unit ball containing )…
Characterizations of Daugavet- and delta-points in Lipschitz-free spaces
Triinu Veeorg
A norm one element of a Banach space is a Daugavet-point (respectively, a -point) if every slice of the unit ball (respectively, every slice of the unit ball containing )…
Daugavet- and Delta-points in absolute sums of Banach spaces
Rainis Haller, Katriin Pirk, Triinu Veeorg
A Daugavet-point (resp.~-point) of a Banach space is a norm one element for which every point in the unit ball (resp.~element itself) is in the closed convex hull of uni…