Question: On C [ 0 , 1 ] , define S and T by y ( s ) = s Z 1 0 x ( t

On C[0,1], define S and T by y(s)= s Z 10 x(t)dt (1) and y(s)= sx(s)(2) respectively. Do S and T commute? Find |S|,|T|,|ST|, and |T S|

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