Approximation properties and Schauder decompositions in Lipschitz-free spaces

Published 6 Jul 2012 in math.FA | (1207.1583v1)

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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