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Complemented copies of c0 in ba (Σ, X)

Published online by Cambridge University Press:  16 October 2000

J. C. FERRANDO
J. C. FERRANDO
Affiliation:
Depto Estadística y Matemática Aplicada, Universidad Miguel Hernández, E-03202 Elche (Alicante), Spain; e-mail: [email protected]
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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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