Lipschitz-free spaces over ultrametric spaces

DOI10.1007/s00009-015-0566-7zbMath1355.46011arXiv1411.2434OpenAlexW2092971479WikidataQ59471966 ScholiaQ59471966MaRDI QIDQ305844

Marek Cúth, Michal Doucha

Publication date: 31 August 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.2434

zbMATH Keywords

Schauder basisultrametric spaceLipschitz-free space

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Isomorphic theory (including renorming) of Banach spaces (46B03) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (16)

Finitely additive measures and complementability of Lipschitz-free spaces ⋮ Structure of the Lipschitz free \(p\)-spaces \(\mathcal{F}_p (\mathbb{Z}^d)\) and \(\mathcal{F}_p (\mathbb{R}^d)\) for \(0<p\leq 1\) ⋮ Stochastic approximation of lamplighter metrics ⋮ Lipschitz-free spaces over Cantor sets and approximation properties ⋮ Lipschitz functions on unions and quotients of metric spaces ⋮ Lipschitz-free Spaces on Finite Metric Spaces ⋮ Approximation properties in Lipschitz‐free spaces over groups ⋮ Lipschitz-free spaces over manifolds and the metric approximation property ⋮ On relations between transportation cost spaces and \(\ell_1\) ⋮ Lipschitz free \(p\)-spaces for \(0 < p < 1\) ⋮ Embeddability of \(\ell_p\) and bases in Lipschitz free \(p\)-spaces for \(0 < p \leq 1\) ⋮ Generalized transportation cost spaces ⋮ On the structure of Lipschitz-free spaces ⋮ Lipschitz free spaces over locally compact metric spaces ⋮ The Bishop-Phelps-Bollobás property for Lipschitz maps ⋮ Isometric embedding of ℓ₁ into Lipschitz-free spaces and ℓ_{∞} into their duals

Cites Work

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• On the universal ultrametric space
• Free spaces over countable compact metric spaces
• Free Banach spaces and the approximation properties
• Linearly rigid metric spaces and the embedding problem

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