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.References
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Additional Information
- Gilles Godefroy
- Affiliation: Institut de Mathématiques de Jussieu, 4 Place Jussieu, 75005 Paris, France
- Email: godefroy@math.jussieu.fr
- Narutaka Ozawa
- Affiliation:
RIMS, Kyoto University, 606-8502
Kyoto, Japan
- Email: narutaka@kurims.kyoto-u.ac.jp
- Received by editor(s): January 4, 2012
- Received by editor(s) in revised form: June 18, 2012
- Published electronically: February 18, 2014
- Communicated by: Thomas Schlumprecht
- © Copyright 2014 American Mathematical Society
- 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
- MathSciNet review: 3168474