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Q: Question on analysis and measure theory ( No Answer,   0 Comments )
Subject: Question on analysis and measure theory
Category: Science
Asked by: ruoj-ga
List Price: $15.00
Posted: 21 Sep 2006 07:37 PDT
Expires: 21 Sep 2006 12:50 PDT
Question ID: 767280
Suppose {Fn} are non-negative measurable functions converging to F
pointwise. The integral(F) = Lim ( integral(Fn) ) < infinite.

a. Show for any E in M, integralE(F) = Lim ( integralE(Fn) ). Where
integralE means integral over the set E?

b. Show part a need not be true if integral(F) = Lim integral(Fn) = infinite.
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