C. Petitjean

activity

20162026

most citedSupports in Lipschitz-free spaces and applications to extremal structure

38 citations · 84 across the 16 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.FA2019★ 17 cited

Embeddings of Lipschitz-free spaces into $ℓ_{1}$

Ramón J. Aliaga, Colin Petitjean, Antonín Procházka

We show that, for a separable and complete metric space $M$ , the Lipschitz-free space $F (M)$ embeds linearly and almost-isometrically into $ℓ_{1}$ if and only if $M$ is a…

math.FA2019

On Kalton's interlaced graphs and nonlinear embeddings into dual Banach spaces

Bruno de Mendonça Braga, Gilles Lancien, Colin Petitjean +1

We study the nonlinear embeddability of Banach spaces and the equi-embeddability of the family of Kalton's interlaced graphs $([N]^{k}, d_{K})_{k}$ into dual spaces. Not…

math.FA2019★ 38 cited

Supports in Lipschitz-free spaces and applications to extremal structure

Ramón J. Aliaga, Eva Pernecká, Colin Petitjean +1

We show that the class of Lipschitz-free spaces over closed subsets of any complete metric space $M$ is closed under arbitrary intersections, improving upon the previously known fi…

Embeddings of Lipschitz-free spaces into ℓ1​

On Kalton's interlaced graphs and nonlinear embeddings into dual Banach spaces

Supports in Lipschitz-free spaces and applications to extremal structure

Embeddings of Lipschitz-free spaces into $ℓ_{1}$