Lecture 11: The Lebesgue Integral of a Nonnegative Function and Convergence Theorems

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Adil Sanaulla
Adil Sanaulla

I think in the last mct, we also need assumption that f be nonnegative on E, because otherwise its integral over E is not defined since it is not in L+(E). It may be measurable and also nonnegative ae but I don’t see why it has to be nonnegative on all of E.

6 дней назад
k tayeb
k tayeb

In the proof of the theorem of the convergence monotone , there is the case where f(x)=0 , which is easy to discuss

2 месяца назад

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