A Variational McShane Characterization of Locally Convex Spaces Possessing the Radon-Nikodym Property
| 15 sie 2014
Tatra Mountains Mathematical Publications
Real Functions ‘13 Real Functions, Topology, Real and Functional Analysis, Locally Convex Spaces
O artykule
Data publikacji: 15 sie 2014
Zakres stron: 23 - 35
Otrzymano: 01 maj 2013
DOI: https://doi.org/10.2478/tmmp-2014-0003
Słowa kluczowe
© 2014
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
Abstract We present a characterization of complete locally convex topological vector spaces possessing the Radon-Nikodym property in terms of additive interval functions whose McShane variational measures are absolutely continuous with respect to the Lebesgue measure.