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2 votes
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"Compactness in measure" in function spaces

For a theorem actually characterizing compactness in measure see Thm.IV.11.1 in Dunford & Schwartz. …
Dirk Werner's user avatar
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2 votes
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Weak*-convergence of signed measures

The answer is positive if the sequence $(\nu_n)$ is bounded; please see Theorem IV.9.15 in Dunford/Schwartz, vol. 1. PS: I just notice that this was already observed by Christian a couple of minutes a …
Dirk Werner's user avatar
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