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arXiv:1812.05025 [math.FA]AbstractReferencesReviewsResources

Dedekind complete and order continuous Banach $C(K)$-modules

Arkady Kitover, Mehmet Orhon

Published 2018-12-12Version 1

We extend the notions of Dedekind complete and sigma-Dedekind complete Banach lattices to Banach C(K)-modules. As our main result we prove for these modules an analogue of Lozanovsky's well known characterization of Banach lattices with order continuous norm.

Categories: math.FA
Subjects: 46H25, 46B42
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