Recent content by Elenamath

How did you get that 3 and 5 are not true? For 2: http://en.wikipedia.org/wiki/Convergence_in_measure For 4: a sequence fn in Lp converges weakly in Lp to f in Lp if: \int fn g converges to \int fg, for any g in Lp', 1/p+1/p'=1.

consider the sequence fn(x)=n when 0<=x<=1/n =0 else Does fn converges: 1. point-wise a.e. 2. in measure 3. in Lp 4. weakly in Lp 5. uniformly