The weak bounded approximation property of pairs

Chen, Dongyang; Kim, Ju; Zheng, Bentuo

doi:10.1090/S0002-9939-2014-12361-6

The weak bounded approximation property of pairs
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by Dongyang Chen, Ju Myung Kim and Bentuo Zheng PDF

Proc. Amer. Math. Soc. 143 (2015), 1665-1673 Request permission

Abstract:

We study the weak bounded approximation property (weak BAP) of pairs and show that each of the spaces $c_0$ and $\ell _1$ has a subspace having the approximation property but failing the weak BAP.

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