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Dominated convergence theorem
(section)
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==Extensions== The dominated convergence theorem applies also to measurable functions with values in a [[Banach space]], with the dominating function still being non-negative and integrable as above. The assumption of convergence almost everywhere can be weakened to require only [[convergence in measure]]. The dominated convergence theorem applies also to conditional expectations.<ref>Zitkovic 2013, Proposition 10.5.</ref>
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