Dedekind complete and order continuous Banach C(K)-modules
classification
🧮 math.FA
keywords
banachcompletemodulescontinuousdedekindlatticesorderanalogue
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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.
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