- 2 Let T B H Be A Self Adjoint Operator On A Hilbert Space H A Use The Continuous Functional Calculus To Show That 1 (12.18 KiB) Viewed 14 times
2. Let T = B(H) be a self-adjoint operator on a Hilbert space H (a) Use the continuous functional calculus to show that
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2. Let T = B(H) be a self-adjoint operator on a Hilbert space H (a) Use the continuous functional calculus to show that
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}.