ABSTRACT
Theorem 1.3 The space V = C<n[x] is the unique subspace of C[x] which complements every J ∈ Jn. Proof. Let V = C<n[x] be an n-dimensional subspace of C[x]. Then V contains a polynomial q of degree ≥ n. Hence q = pf with deg p = n. Let J = pC[x]. By proposition J ∈ Jn and q ∈ V ∩ J . Thus V is not complemented to J .
