Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590169 | Journal of Functional Analysis | 2014 | 9 Pages |
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 c0c0 and ℓ1ℓ1 has a subspace which has the AP but fails to have the strong AP.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ju Myung Kim, Bentuo Zheng,