I am trying to prove the next proposition, but i need some help:
Let $ (X,\rho)$ be compact metric space. Prove that there exist a compact subset $K$ of $C(X)$ whose linear span is dense in $C(X)$
Thanks.
I am trying to prove the next proposition, but i need some help:
Let $ (X,\rho)$ be compact metric space. Prove that there exist a compact subset $K$ of $C(X)$ whose linear span is dense in $C(X)$
Thanks.