The Lipschitz free Banach spaces of $C(K)$-spaces

DOI10.1090/S0002-9939-05-08301-2zbMath1097.46004OpenAlexW1932327102MaRDI QIDQ3372078

Valentin Ferenczi, Y. Dutrieux

Publication date: 17 February 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-08301-2

zbMATH Keywords

retractLipschitz free spaceLipschitz homogeneous Banach spacespace \(C (K)\)

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (10)

On large ℓ₁-sums of Lipschitz-free spaces and applications ⋮ A complete metric space without non-trivial separable Lipschitz retracts ⋮ Pełczyński space is isomorphic to the Lipschitz free space over a compact set ⋮ 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 \(0 < p \leq 1\) ⋮ Tree metrics and their Lipschitz-free spaces ⋮ On the structure of Lipschitz-free spaces ⋮ Isomorphisms between spaces of Lipschitz functions ⋮ On the geometry of Banach spaces of the form 𝐿𝑖𝑝₀(𝐶(𝐾)) ⋮ Products of Lipschitz-free spaces and applications

Cites Work

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• Absolutely summing operators and local unconditional structures
• On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces
• Erratum to: ``Banach spaces without local unconditional structure
• An infinite Ramsey theorem and some Banach-space dichotomies
• Banach spaces determined by their uniform structures
• Lipschitz-free Banach spaces
• Lipschitz Homogeneous Banach Spaces

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