Give an alternative proof of Theorem 12.2 (ii) using the generalized Fatou theorem from Problem 10.7. Data

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Give an alternative proof of Theorem 12.2 (ii) using the generalized Fatou theorem from Problem 10.7.

Data from theorem 12.2

(Lebesgue; dominated convergence) Let (X, A, ) be a measure space and (un)nEN CL () be a sequence of

Proof From uw we get ullimno un

Data from problem 10.7

Generalized Fatou lemma. Assume that (1) EN CL (). Prove the following. (1) If u > v for all n N and some ve

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