On Schauder bases in Lipschitz-free spaces

DOI10.1016/j.jmaa.2014.02.060zbMath1319.46010OpenAlexW2086877857MaRDI QIDQ488748

Eva Pernecká, Petr Hájek

Publication date: 26 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.02.060

zbMATH Keywords

Schauder basisLipschitz-free space

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (18)

Lipschitz-free spaces and Schur properties ⋮ Lipschitz-free spaces over ultrametric spaces ⋮ 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 \(0<p\leq 1\) ⋮ Supports in Lipschitz-free spaces and applications to extremal structure ⋮ Some remarks on Schauder bases in Lipschitz free spaces ⋮ Approximation properties in Lipschitz‐free spaces over groups ⋮ ISOMETRIC REPRESENTATION OF LIPSCHITZ‐FREE SPACES OVER CONVEX DOMAINS IN FINITE‐DIMENSIONAL SPACES ⋮ Lipschitz-free spaces and approximating sequences of projections ⋮ Lipschitz-free spaces over manifolds and the metric approximation property ⋮ Free spaces over some proper metric spaces ⋮ The metric approximation property and Lipschitz-free spaces over subsets of \(\mathbb{R}^N\) ⋮ Embeddability of \(\ell_p\) and bases in Lipschitz free \(p\)-spaces for \(0 < p \leq 1\) ⋮ Lipschitz free spaces isomorphic to their infinite sums and geometric applications ⋮ Linear extension operators between spaces of Lipschitz maps and optimal transport ⋮ Products of Lipschitz-free spaces and applications ⋮ Free spaces over countable compact metric spaces ⋮ Asymmetric free spaces and canonical asymmetrizations

Cites Work

• Approximation properties and Schauder decompositions in Lipschitz-free spaces
• Sobolev imbedding operators and the nonisomorphism of certain Banach spaces
• Banach space theory. The basis for linear and nonlinear analysis
• Tree metrics and their Lipschitz-free spaces
• Planar Earthmover Is Not in $L_1$
• Lipschitz-free Banach spaces
• Free Banach spaces and the approximation properties
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