A unital subalgebra A ⊆ C(X) (X compact Hausdorff) that separates points is dense in C(X) w.r.t. the uniform norm. Weierstrass polynomial approximation is the classical special case.
A unital subalgebra A ⊆ C(X) (X compact Hausdorff) that separates points is dense in C(X) w.r.t. the uniform norm. Weierstrass polynomial approximation is the classical special case.