Article contents
Projective tensor products and the Dunford–Pettis property
Published online by Cambridge University Press: 17 April 2009
Abstract
We show the existence, in c0 ⊗γc0, of a shrinking, subsymmetric basic sequence (zi) having no c0 subsequences. In particular, the coefficient functionals for (zi) are weakly null and the subspace fails to have the Dunford-Pettis property.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 37 , Issue 1 , February 1988 , pp. 107 - 111
- Copyright
- Copyright © Australian Mathematical Society 1988
References
- 1
- Cited by