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Uniformity for weak order convergence of Riesz space-valued measures
Published online by Cambridge University Press: 17 April 2009
Extract
The purpose of the paper is to show that weak order convergence of a net of Dedekind complete Riesz space-valued σ-measures is uniform over uniformly bounded, uniformly equicontinuous classes of functions. The paper ends with generalizing Ulam's theorem for tightness of positive, finite Borel measures to Riesz space-valued σ-measures.
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- Copyright © Australian Mathematical Society 2005
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