We present a characterization of locally convex topological vectorspaces possessing the Radon-Nikodym property in terms of additive intervalfunctions whose McShane variational measures are absolutely continuous withrespect to the Lebesgue measure.
@article{242, title = {A variational McShane characterization of locally convex spaces possessing the Radon-Nikodym property}, journal = {Tatra Mountains Mathematical Publications}, volume = {55}, year = {2013}, doi = {10.2478/tatra.v58i0.242}, language = {EN}, url = {http://dml.mathdoc.fr/item/242} }
Kaliaj, Sokol Bush. A variational McShane characterization of locally convex spaces possessing the Radon-Nikodym property. Tatra Mountains Mathematical Publications, Tome 55 (2013) . doi : 10.2478/tatra.v58i0.242. http://gdmltest.u-ga.fr/item/242/