f:[0,2]-> C

C[0,2]

$\displaystyle <f,g>=\int_{1}^{2}f(x)\overline{g(x)}dx$

i was told that its not an inner product

because the integral interval is from 1 to 2

so we dont know what on 0 to 1 interval

why its interfering?

what could happen that could make it a non inner product

?