E. Perneck'a

collaborators

4 papers

math.FA2026

A solution to the extreme point problem and other applications of Choquet theory to Lipschitz-free spaces

RamÃ³n J. Aliaga, Eva PerneckÃ¡, Richard J. Smith

We prove that every element of a Lipschitz-free space admits an expression as a convex series of elements with compact support. As a consequence, we conclude that all extreme point…

math.FA2025

On the uniform continuity of homeomorphisms between the spheres of $ℓ_{\infty}^{k}$ and $ℓ_{1}^{k}$

Bruno de MendonÃ§a Braga, Chris Gartland, Gilles Lancien +3

We consider the problem of whether there is a sequence of homeomorphisms $(F_{k})_{k}$ between the unit spheres of the $k$ -dimensional Banach spaces $ℓ_{\infty}^{k}$ and $ℓ_{1}^{k}$ whic…

math.FA2025

Equivariant liftings in Lipschitz-free spaces

Valentin Ferenczi, Pedro L. Kaufmann, Eva PerneckÃ¡

We consider Banach spaces $X$ that can be linearly lifted into their Lipschitz-free spaces $F (X)$ and, for a group $G$ acting on $X$ by linear isometries, we study the po…

math.FA2025

De Leeuw representations of functionals on Lipschitz spaces

RamÃ³n J. Aliaga, E. PerneckÃ¡, Richard J. Smith

Let $Lip_{0} (M)$ be the space of Lipschitz functions on a complete metric space $(M, d)$ that vanish at a point $0 \in M$ . We investigate its dual $Lip_{0} (M)^{*}$ using…

A solution to the extreme point problem and other applications of Choquet theory to Lipschitz-free spaces

On the uniform continuity of homeomorphisms between the spheres of ℓ∞k​ and ℓ1k​

Equivariant liftings in Lipschitz-free spaces

De Leeuw representations of functionals on Lipschitz spaces

On the uniform continuity of homeomorphisms between the spheres of $ℓ_{\infty}^{k}$ and $ℓ_{1}^{k}$