Consider operators P and Q acting on the space of square integrable functions L. The product of any two operators is defined as (PQ)(f) = P(Q(f)), where fe L. (a) Using the definition of the hermitian conjugate of an operator (u, Tv) = (Tu, v), express the hermitian conjugate of the product of operators PQ in terms of the hermitian conjugate of P and Q. In every steps, clearly identify what definitions/properties has been used. (b) If P and Q are hermitian operators, is the commutator [P, 2] hermitian, anti-hermitian or neither hermitian nor anti-hermitian?