Pelczynski's property V on C(\(\Omega\) ,E) spaces
It is shown that if \(\Omega\) is a compact Hausdorff space, E is a Banach space that has property (u) and contains no subspace isomorphic to \(\ell_ 1\), then \(C(\Omega\),E) has Pelczynski's Property V. This in particular shows that if E is a subspace of an order continuous Banach lattice, then \(C(\Omega\),E) has property V iff E has property V.
space of continuous vector valued functions
scientific article; zbMATH DE number 3870003
scientific article