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arXiv · 1207.1583

Approximation properties and Schauder decompositions in Lipschitz-free spaces

Gilles Lancien·Eva Pernecka
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Abstract

We prove that the Lipschitz-free space over a doubling metric space has the bounded approximation property. We also show that the Lipschitz-free spaces over $\ell_1^N$ or $\ell_1$ have monotone finite-dimensional Schauder decompositions.

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Gilles Lancien, Eva Pernecka. 2012-07-06. Approximation properties and Schauder decompositions in Lipschitz-free spaces. https://arxiv.org/abs/1207.1583

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