Cembranos Diaz, 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
Official URL: http://www.springerlink.com/content/gphq418700186841/
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.
|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|
|Deposited On:||26 Apr 2012 10:28|
|Last Modified:||26 Apr 2012 10:28|
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