ScheffÉ'S Lemma

(Theorems In Measure Theory)


Theorems In Measure Theory
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What is Scheffé's lemma?

In mathematics, Scheffé's lemma is a proposition in measure theory concerning the convergence of sequences of integrable functions. It states that, if is a sequence of integrable functions on a measure space that converges almost everywhere to another integrable function , then if and only if .

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Scheffe’s lemmaScheffé’s lemma

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