The strong approximation property and the weak bounded approximation property
Abstract
We show that the strong approximation property (strong AP) (respectively, strong CAP) and the weak bounded approximation property (respectively, weak BCAP) are equivalent for every Banach space. This gives a negative answer to Oja's conjecture. As a consequence, we show that each of the spaces c0 and ℓ1 has a subspace which has the AP but fails to have the strong AP. © 2013 Elsevier Inc.
Publication Title
Journal of Functional Analysis
Recommended Citation
Kim, J., & Zheng, B. (2014). The strong approximation property and the weak bounded approximation property. Journal of Functional Analysis, 266 (8), 5439-5447. https://doi.org/10.1016/j.jfa.2013.12.016
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