Question: Exercise 1.9 Let M be the perpendicular projection operator onto C(X). Show that (IM) is the perpendicular projection operator onto C(X). Find tr(IM) in terms

Exercise 1.9 Let M be the perpendicular projection operator onto C(X). Show that (I−M) is the perpendicular projection operator onto C(X)⊥. Find tr(I−M) in terms of r(X).

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