By Arkady Kitover and Mehmet Orhon

We extend the well-known criterion of Lotz for the dual Radon-Nikodym property (RNP) of Banach lattices to finitely generated Banach *C(K)*-modules and Banach *C(K)*-modules of finite multiplicity. Namely, we prove that if *X* is a Banach space from one of these classes then its Banach dual *X^\star* has the RNP... Show more

July 14, 2017

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The dual Radon - Nikodym property for finitely generated Banach C(K)-Modules

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