A Variational McShane Characterization of Locally Convex Spaces Possessing the Radon-Nikodym Property
| Aug 15, 2014
Tatra Mountains Mathematical Publications
Real Functions ‘13 Real Functions, Topology, Real and Functional Analysis, Locally Convex Spaces
About this article
Published Online: Aug 15, 2014
Page range: 23 - 35
Received: May 01, 2013
DOI: https://doi.org/10.2478/tmmp-2014-0003
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© 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.