Let (X, A, ) be a finite measure space. Let fn, f L(X) for all...

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Let (X, A, μ) be a finite measure space. Let fn, f € L²(X) for all n N such that limn- fn fa.e. on X and ||fn||2 < M for all n € N. Show that limno || fn-f||1 = 0. = Let (X, A, μ) be a finite measure space. Let fn, f € L²(X) for all n N such that limn- fn fa.e. on X and ||fn||2 < M for all n € N. Show that limno || fn-f||1 = 0. =

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