I have a little problem to understand a Hilbert Space property.
Do we need the completeness of Hilbert space for the Riesz-Frechet representation to hold true ? Justify
I suppose we need it (intuition) I tried by taking a Cauchy sequence such that it is not convergent. Then I suppose I have to use the continuity of scalar product but I am stuck. Though this question will definitely help me to see why we suppose completeness in the definition of an Hilbert Space.
Good afternoon, Herosix