Article contents
Remarks on James's distortion theorems
Published online by Cambridge University Press: 17 April 2009
Abstract
If a Banach space X contains a complemented subspace isomorphic to c0 (respectively, ℓ1), then X contains complemented almost isometric copies of c0 (respectively, ℓ1). If a Banach space X is such that X* contains a subspace isomorphic to L1[0, 1] (respectively, ℓ∞), then X* contains almost isometric copies of L1[0, 1] (respectively, ℓ∞).
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1998
References
- 2
- Cited by