Free Banach spaces and the approximation properties

Godefroy, Gilles; Ozawa, Narutaka

doi:10.1090/S0002-9939-2014-11933-2

Free Banach spaces and the approximation properties
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by Gilles Godefroy and Narutaka Ozawa PDF

Proc. Amer. Math. Soc. 142 (2014), 1681-1687 Request permission

Abstract:

We characterize the metric spaces whose free spaces have the bounded approximation property through a Lipschitz analogue of the local reflexivity principle. We show that there exist compact metric spaces whose free spaces fail the approximation property.

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