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arXiv · 1305.6060

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

Arkady Kitover·Mehmet Orhon
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Abstract

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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Arkady Kitover, Mehmet Orhon. 2013-09-12. Reflexivity of Banach $C(K)$-modules via the reflexivity of Banach lattices. https://arxiv.org/abs/1305.6060

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