## uniform boundedness [closed]

" If we have a sequence of complex measurable funtions {f_n} in a FINITE measurable space (X,M,u) , such that sup{ |f_n (x)| : n is N } < infinity , x is in X

then to each epsilon>0 there exists a set E and a number 0

u(E)< epsilon |f_n (x)| <= B , for all n and x in the complement of E

what if u(X) is infinite ? "

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Do you always talk in inverted commas? – Mark Grant Nov 20 2011 at 14:52
Is this a homework problem? Please read mathoverflow.net/howtoask. This question is probably better suited for math.stackexchange.com. – MTS Nov 20 2011 at 19:10