On the Radon-Nikodym Theorem and Locally Convex Spaces with the Radon-Nikodym Property

1977 ◽  
Vol 62 (2) ◽  
pp. 245 ◽  
Author(s):  
G. Y. H. Chi
Keyword(s):  
Locally Convex Spaces ◽  
Nikodym Property ◽  
Locally Convex ◽  
Nikodym Theorem ◽  
Convex Spaces

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

2014 ◽  
Vol 58 (1) ◽  
pp. 23-35
Author(s):  
Sokol Bush Kaliaj
Keyword(s):  
Lebesgue Measure ◽  
Vector Spaces ◽  
Locally Convex Spaces ◽  
Absolutely Continuous ◽  
Topological Vector Spaces ◽  
Nikodym Property ◽  
Interval Functions ◽  
Locally Convex ◽  
Convex Spaces

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.

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