P-adic Measures and P-adic Spaces of Continuous Functions
Abstract
For 
a Hausdorff zero-dimensional topological space and 
a Hausdorff non-Archimedean locally convex space, let 
(resp. 
) be the space of all continuous (resp. bounded continuous ) -valued functions on . Some of the properties of the spaces 
, equipped with certain locally convex topologies, are studied. Also, some complete spaces of measures, on the algebra of all clopen subsets of , are investigated.
a Hausdorff zero-dimensional topological space and a Hausdorff non-Archimedean locally convex space, let (resp. ) be the space of all continuous (resp. bounded continuous ) -valued functions on . Some of the properties of the spaces , equipped with certain locally convex topologies, are studied. Also, some complete spaces of measures, on the algebra of all clopen subsets of , are investigated.DOI Code:
10.1285/i15900932v30n1p61
Keywords:
Non-Archimedean fields; zero-dimensional spaces; Banaschewski compactification; locally convex spaces
Non-Archimedean fields; zero-dimensional spaces; Banaschewski compactification; locally convex spaces
Classification:
46S10; 46G10
Full Text: PDF
