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arXiv · 1201.0847

Free Banach spaces and the approximation properties

Gilles Godefroy·Narutaka Ozawa
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Abstract

We characterize the metric spaces whose free space has 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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Gilles Godefroy, Narutaka Ozawa. 2012-07-12. Free Banach spaces and the approximation properties. https://arxiv.org/abs/1201.0847

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