Embeddings of Lipschitz-free spaces into \(\ell_1\)

DOI10.1016/j.jfa.2020.108916zbMath1465.46019arXiv1909.05285OpenAlexW2973148626MaRDI QIDQ2219466

Ramón J. Aliaga, Antonín Procházka, Colin Petitjean

Publication date: 20 January 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05285

zbMATH Keywords

extreme pointLipschitz-free space\(\mathbb{R}\)-treeLipschitz homeomorphism

Mathematics Subject Classification ID

Trees (05C05) Complete metric spaces (54E50) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25)

Related Items (12)

Purely 1-unrectifiable metric spaces and locally flat Lipschitz functions ⋮ On projectional skeletons and the Plichko property in Lipschitz-free Banach spaces ⋮ Supports in Lipschitz-free spaces and applications to extremal structure ⋮ Complementability of isometric copies of \(\ell_1\) in transportation cost spaces ⋮ Projections in Lipschitz‐free spaces induced by group actions ⋮ Lipschitz functions on quasiconformal trees ⋮ Injectivity of Lipschitz operators ⋮ On relations between transportation cost spaces and \(\ell_1\) ⋮ On the dynamics of Lipschitz operators ⋮ Lipschitz free spaces over locally compact metric spaces ⋮ Extreme points in Lipschitz-free spaces over compact metric spaces ⋮ Asymmetric free spaces and canonical asymmetrizations

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