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Topic: Help with complete inner product space
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Posts: 1
Registered: 12/10/12
Help with complete inner product space
Posted: Dec 10, 2012 1:27 PM
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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.

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