Free Banach spaces and the approximation properties

Details Free Banach spaces and the approximation properties Free Banach spaces and the approximation properties

2012-01-04

arxiv.org/abs/1201.0847v1

Mathematics

Functional Analysis

7 pages

Scientific paper

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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