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Help with complete inner product space
Posted:
Dec 10, 2012 1:27 PM


Hi, i'm struggling with this problem, it goes like this:
V is a space of polynomials with complex coefficients(so map from R to C) and it's an inner product space, equipped with (f,g) = int(f(x)conjugate(g(x)) * e^(x) dx) where integration runs from x= 0 to x= +inf
I need to show that V is not complete, can someone post a few tips/step that i can follow? I know i need to pick out a cauchy sequence in V, and show that it converges to some function in V, but i'm not sure how.



