Date: Dec 10, 2012 1:27 PM
Subject: Help with complete inner product space
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.