The Radon-Nikodym Property and Dentable Sets in Banach Spaces
The Radon-Nikodym Property and Dentable Sets in Banach Spaces
In order to prove a Radon-Nikodym theorem for the Bochner integral, Rieffel [5] introduced the class of âdentableâ subsets of Banach spaces. Maynard [3] later introduced the strictly larger class of â$s$-dentableâ sets, and extended Rieffelâs result to show that a Banach space has the Radon-Nikodym property if and only …