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Any measurable function can be approximated by simple function?
Wiki User
∙ 13y ago
Yes. For every measurable function, f there's a sequence of simple functions Fn that converge to f m-a.e (wich means for each e>0, there's X' such that Fn|x' -->f|x' and m(X\X')<e).
Wiki User
∙ 13y ago
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