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Free Banach spaces and the approximation properties
by
Ozawa, Narutaka
, Godefroy, Gilles
in
Approximation
/ Banach space
/ Geometry
/ Increasing sequences
/ Linear transformations
/ Metric spaces
/ Research article
/ Separable spaces
/ Topological spaces
/ Topology
/ Unit ball
2014
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Do you wish to request the book?
Free Banach spaces and the approximation properties
by
Ozawa, Narutaka
, Godefroy, Gilles
in
Approximation
/ Banach space
/ Geometry
/ Increasing sequences
/ Linear transformations
/ Metric spaces
/ Research article
/ Separable spaces
/ Topological spaces
/ Topology
/ Unit ball
2014
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Journal Article
Free Banach spaces and the approximation properties
2014
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Overview
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.
Publisher
American Mathematical Society,AMERICAN MATHEMATICAL SOCIETY
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