Question: 6. Let TH-H be a bounded self-adjoint operatore on a complex Hilbert Space H. Then show that T has the spectral representation T=JM ad

6. Let TH-H be a bounded self-adjoint operatore on a complex Hilbert Space H. Then show that T has the spectral representation T=JM ad E, m = where J - (E) is the spectreal family associated with T; the integral is to be understood in the sense of uniforam opercatore convergence and for all mye H, Jm W, W = < Ex,y) where the integral Stieltjes integral. is au ordinary Rieman-

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