Question: 8. Lef T: 1 - H be a bounded sel-adjoint operatore on a complex Hilbert Space 71. Then show that Thas the spectical representation T=

8. Lef T: 1 - H be a bounded sel-adjoint operatore

8. Lef T: 1 - H be a bounded sel-adjoint operatore on a complex Hilbert Space 71. Then show that Thas the spectical representation T= "2d E2, m where J = ( Ex) is the spectral family associated with T ; the integral is to be understood in the sense of uniform operatore convergence and gore all myEH, J" 'nw, , w, = where the integral is an ordinary Riemann- Stielties integrcal

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