10. On C[0, 1] defiue S andT by y(s) =s x(t) dt, y(s) = sx(s), %3D respectively. Do S and T commute? Find ||S|l, |TI, |ST|| and TS!

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10. On C[0, 1] defiue S and T by
y(s) =s x(t) dt,
y(s) = sx(s),
respectively. Do S and T commute? Find ||S, TI, [ST|| and TS
11. Let X be the normed space of all bounded real-valued fu
with norm defined by
= sup |x(1).
leR
13. S
Transcribed Image Text:10. On C[0, 1] defiue S and T by y(s) =s x(t) dt, y(s) = sx(s), respectively. Do S and T commute? Find ||S, TI, [ST|| and TS 11. Let X be the normed space of all bounded real-valued fu with norm defined by = sup |x(1). leR 13. S
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