Question 2. [8 marks] Consider the function space (C[0, 1],|- ||p) where ([\ƒ],)³ := f ' \f(x)\Pºdx. Prove that for p = 2, the p-norm || - |, cannot be generated by any inner product. (HINT: Use parallelogram property characterization of inner product norm; use f(x) = x and g(x) = 1- x as counter-examples.)

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