Question: Let (X, A, ) be a measure space and p belongs to [1, ). : Let f belongs to LP(X) and (fn neN) C

Let (X, A, ) be a measure space and p belongs to

Let (X, A, ) be a measure space and p belongs to [1, ). : Let f belongs to LP(X) and (fn neN) C LP(X). Suppose limn-fn- fl|p = 0. Show that for every > 0, there exists >0 such that for all n N we have [fnd < e for every E A such that (E) < 6. E

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