Pelczynski Property (V) On C(Omega,E) Spaces



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Cembranos, Pilar and Kalton, Nj. and Saab, E. and Saab, P. (1985) Pelczynski Property (V) On C(Omega,E) Spaces. Mathematische Annalen, 271 (1). pp. 91-97. ISSN 0025-5831

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It is shown that if is a compact Hausdorff space, E is a Banach space that has property (u) and contains no subspace isomorphic to `1, then C(,E) has Pelczynski’s Property
V. This in particular shows that if E is a subspace of an order continuous Banach lattice,then C(,E) has property V iff E has property V.

Item Type:Article
Uncontrolled Keywords:Space of continuous vector valued functions; Pelczynski’s Property V; Order continuous Banach lattice; Mathematics
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:15020
Deposited On:26 Apr 2012 08:28
Last Modified:03 Mar 2016 14:51

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