Pelczynski's property V on C(\(\Omega\) ,E) spaces (Q797799)
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scientific article; zbMATH DE number 3870003
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pelczynski's property V on C(\(\Omega\) ,E) spaces |
scientific article; zbMATH DE number 3870003 |
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Pelczynski's property V on C(\(\Omega\) ,E) spaces (English)
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1985
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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.
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space of continuous vector valued functions
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Pelczynski's Property V
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order continuous Banach lattice
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