Question
Assume ECR is measurable throughout this problem set. #1) Let f : E [0, ∞) be measurable and assume that f is bounded, so that f(E) C [0, d) for some d>0. Here we see how to directly approximate f by an increasing sequence of sim- ple functions: For nЄ N and j = {0,1,...,2"} set y;= jd/2" and set Ij,n = [j-1, j) so tha
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