The Question is as follows:
let A be a bounded domain in R^n and
Xm a series of real functions in L^2 (A).
if Xm converge weakly to X in L^2(A)
and (Xm)^2 converge weakly to Y in L^2(A)
then Y=X^2.
i don't know if the above theorem is true and could sure use any help i can get.
if...