hi all i need help in doing this problem, Let be integrable functions and a.e. show that if and only if i don't know where should i start. any hint would be greatly appreciated
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this is a problem from the stanford analysis textbook. (1) gives the only if part. (2)as for the if part, Hint: A={x:f(x)>0}, B={x:f(x)<0}, C={x:f(x)=0}.
Last edited by Opalg; Dec 21st 2009 at 01:40 AM. Reason: Fixed LaTeX
For the "if" part, I would use Fatou's lemma on the sequence of positive functions .
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