The weak convergence of uniform measures
Copyright policy )The weak convergence of uniform measures
Abstract This paper presents a necessary and sufficient condition for the weak convergence of uniform measures on an arbitrary Hausdorff uniform space in terms of their projections in metric spaces. This result was inspired by and extends a result of Bartoszynski which characterizes the weak convergence of countably additive measures on C [0,1] in terms of their projections in finite dimensional spaces.
- University of Washington United States
- Howard University United States
Precompact Convergence, Statistics and Probability, Uniform Measures, Numerical Analysis, Uniform Space, Tight Measures, Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces), Dudley Pseudonorm, Convergence of probability measures, Statistics, Probability and Uncertainty
Precompact Convergence, Statistics and Probability, Uniform Measures, Numerical Analysis, Uniform Space, Tight Measures, Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces), Dudley Pseudonorm, Convergence of probability measures, Statistics, Probability and Uncertainty
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