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

Authors: Gilles Godefroy and Narutaka Ozawa
Journal: Proc. Amer. Math. Soc. 142 (2014), 1681-1687
MSC (2010): Primary 46B20; Secondary 46B28, 46B50
DOI: https://doi.org/10.1090/S0002-9939-2014-11933-2
Published electronically: February 18, 2014
MathSciNet review: 3168474
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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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