Consider the operator Î=k, where k is a scalar, operating in a function space on the interval [a, b] with inner product defined by (f\g) = f* f*(x)g(x)dx. a) Show that I is a linear operator, i.e., that is satisfies the necessary requirement for linear operators. b) Find ι and using this find the conditions on k that make Î self-adjoint. c) Find two sets of boundary conditions under which I is Hermitian.

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