17 citations · 34 across the 9 of their papers we have counts for
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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…
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…
Injectivity of Lipschitz operators
Luis García-Lirola, Colin Petitjean, Antonin Prochazka
Any Lipschitz map between metric spaces can be "linearised" in such a way that it becomes a bounded linear operator $\widehat{f}\colon \mathcal F(M) \to \mathcal…
Embeddings of Lipschitz-free spaces into
Ramón J. Aliaga, Colin Petitjean, Antonín Procházka
We show that, for a separable and complete metric space , the Lipschitz-free space embeds linearly and almost-isometrically into if and only if is a…
Pełczyński space is isomorphic to the Lipschitz free space over a compact set
Luis C. García-Lirola, Antonin Prochazka
We prove the result stated in the title. This provides a first example of an infinite-dimensional Banach space whose Lipschitz free space is isomorphic to the free space of a compa…