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
In the proof of the theorem of the convergence monotone , there is the case where f(x)=0 , which is easy to discuss
Комментарии: 2
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 назадk 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