Reflexivity of Banach C(K)-modules via the reflexivity of Banach lattices
classification
🧮 math.FA
keywords
banachreflexivityfinitelygeneratedlatticesmodulesclasscontain
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We extend the well known criteria of reflexivity of Banach lattices due to Lozanovsky and Lotz to the class of finitely generated Banach $C(K)$- modules. Namely we prove that a finitely generated Banach $C(K)$-module is reflexive if and only if it does not contain any subspace isomorphic to either $l^1$ or $c_0$.
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