Mathematics – Functional Analysis
Scientific paper
2007-04-06
Mathematics
Functional Analysis
LaTeX; 7 pages
Scientific paper
Uniform measures are defined as the functionals on the space of bounded uniformly continuous functions that are continuous on bounded uniformly equicontinuous sets. If every cardinal has measure zero then every countably additive measure is a uniform measure. The functionals sequentially continuous on bounded uniformly equicontinuous sets are exactly uniform measures on the separable modification of the underlying uniform space.
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