Can P[a, b] and coo be Banach spaces with respect to any norm on it? Justify your answer. 6. Let X = (C[a, b], || ||[infinity]) and Y = (C[a, b], || · ||[infinity]). For u € C[a, b], define A : X → Y by (Ax)(t) = u(t)x(t), t ≤ [a, b], x ≤ X. Prove that A is a bounded linear operator on C[a, b].