2. Let T = B(H) be a self-adjoint operator on a Hilbert space H (a) Use the continuous functional calculus to show that
Posted: Wed Jul 06, 2022 11:58 am
2. Let T = B(H) be a self-adjoint operator on a Hilbert space H (a) Use the continuous functional calculus to show that T20 if o(T) [0, ∞). (b) Show that T is an orthogonal projection if and only if (T) C {0, 1}.