<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

A Variational McShane Characterization of Locally Convex Spaces Possessing the Radon-Nikodym Property

University of Elbasan Science Natural Faculty Mathematics Department Elbasan ALBANIA

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

We present a characterization of complete locally convex topological vector spaces possessing the Radon-Nikodym property in terms of additive interval...

A Variational McShane Characterization of Locally Convex Spaces Possessing the Radon-Nikodym Property

Published Online: Aug 15, 2014

Page range: 23 - 35

Received: May 01, 2013

DOI: https://doi.org/10.2478/tmmp-2014-0003

Keywords
Radon-Nikodym property, complete locally convex topological vector spaces, additive interval function, McShane variational measure

© 2014

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

A Variational McShane Characterization of Locally Convex Spaces Possessing the Radon-Nikodym Property

Published Online: Aug 15, 2014

Page range: 23 - 35

Received: May 01, 2013

DOI: https://doi.org/10.2478/tmmp-2014-0003

KeywordsRadon-Nikodym property, complete locally convex topological vector spaces, additive interval function, McShane variational measure

© 2014

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Radon-Nikodym property, complete locally convex topological vector spaces, additive interval function, McShane variational measure