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Complemented copies of c0 in ba (Σ, X)
Published online by Cambridge University Press: 16 October 2000
Abstract
Let X be a Banach space. In this paper we show that, assuming that X does not contain a copy of [lscr ]∞, then ba (Σ,X) contains a complemented copy of c0 whenever X contains a copy of c0. Conversely, if ba (Σ,X) contains a complemented copy of c0, then X contains a copy of c0.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 129 , Issue 2 , September 2000 , pp. 321 - 324
- Copyright
- 2000 Cambridge Philosophical Society
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