Determine whether the following are linear transformations from C[0,1] into R^1.
L(f) = |f(0)|
L(f) = [f(0) + f(1)]/2
L(f) = {integral from 0 to 1 of [f(x)]^2 dx}^(1/2)
Thanks so much. :)
This shows how to determine if given transformations fit given characteristics.