Abstract
We give a new formulation of the Radon-Nikodym density based on Daniell scheme. Our main result is applicable to arbitrary measure spaces, in particular, not necessarily localizable. Furthermore, we discuss the relationships between our results and localizable measure spaces, and give an example of the measure space which fails to be localizable but has a certain Radon-Nidkoym density for absolutely continuous measures. AMS Subject Classification: 28B99, 46B22
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