Characterization of metric spaces whose free space is isometric to \(\ell_1\)

zbMath1370.46009arXiv1502.02719MaRDI QIDQ330192

Pedro L. Kaufmann, Antonín Procházka, Aude Dalet

Publication date: 25 October 2016

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02719

zbMATH Keywords

Lipschitz-free spacessubspaces of \(l_1\)ultrametric spaces

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04)

Related Items (14)

Lipschitz-free spaces and Schur properties ⋮ A characterisation of octahedrality in Lipschitz-free spaces ⋮ Stochastic approximation of lamplighter metrics ⋮ Complementability of isometric copies of \(\ell_1\) in transportation cost spaces ⋮ Injectivity of Lipschitz operators ⋮ On relations between transportation cost spaces and \(\ell_1\) ⋮ A complete metric space without non-trivial separable Lipschitz retracts ⋮ Embeddings of Lipschitz-free spaces into \(\ell_1\) ⋮ A characterisation of the Daugavet property in spaces of Lipschitz functions ⋮ Supports and extreme points in Lipschitz-free spaces ⋮ Embeddability of \(\ell_p\) and bases in Lipschitz free \(p\)-spaces for \(0 < p \leq 1\) ⋮ Analysis on Laakso graphs with application to the structure of transportation cost spaces ⋮ On strongly norm attaining Lipschitz maps ⋮ Isometric embedding of ℓ₁ into Lipschitz-free spaces and ℓ_{∞} into their duals

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