Reflexivity of Banach C(K)-modules via the reflexivity of Banach lattices

الأصل · EN

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 l¹ or c₀.