R. Deville

activity

20132024

most citedLipschitz Embeddings of Metric Spaces into

c_{0}

1 citations · 1 across the 2 of their papers we have counts for

collaborators

7 papers

math.CA2024

All convex bodies are in the subdifferential of some everywhere differentiable locally Lipschitz function

Aris Daniilidis, Robert Deville, Sebastian Tapia-Garcia

We construct a differentiable locally Lipschitz function $f$ in $R^{N}$ with the property that for every convex body $K \subset R^{N}$ there exists $\bar x \in \math…

math.FA2020

Normal and starlike tilings in separable Banach spaces

Robert Deville, Mar Jimenez-Sevilla

In this note, we provide a starlike and normal tiling in any separable Banach space. That means, there are positive constants r and R (not depending on the separable Banach space)…

math.FA2020

Normal tilings of a Banach space and its ball

Robert Deville, Miguel García-Bravo

We show some new results about tilings in Banach spaces. A tiling of a Banach space $X$ is a covering by closed sets with non-empty interior so that they have pairwise disjoint int…

math.FA2018

Approximation of Lipschitz functions preserving boundary values

Robert Deville, Carlos Mudarra

Given an open subset $Ω$ of a Banach space and a Lipschitz function $u_{0} : Ω \to R,$ we study whether it is possible to approximate $u_{0}$ uniformly on $Ω$ by $C^{k}$ …

math.MG2018

Metric and geometric relaxations of self-contracted curves

Aris Daniilidis, Robert Deville, Estibalitz Durand Cartagena

Self-contractedness (or self-expandedness, depending on the orientation) is hereby extended in two natural ways giving rise, for any $λ \in [- 1, 1)$ , to the metric notion of $λ$ …

math.FA2016★ 1 cited

Lipschitz Embeddings of Metric Spaces into $c_{0}$

Florent P. Baudier, Robert Deville

Let $M$ be a separable metric space. We say that $f = (f_{n}) : M \to c_{0}$ is a good- $λ$ -embedding if, whenever $x, y \in M$ , $x \neq = y$ implies $d (x, y) \leq ∥ f (x) - f (y) ∥$ and, for each…