For n 1, let gn, g and E be as in Exercise 24. Then: (i) If
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(i) If {gn} converges to g uniformly on E and g is continuous on E, it follows that {gn} converges continuously to g on E.
(ii) If E is compact and {gn} converges continuously to g on E, then the convergence is uniform.
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Related Book For
An Introduction to Measure Theoretic Probability
ISBN: 978-0128000427
2nd edition
Authors: George G. Roussas
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