(bonus) Prove that operator A: L²(0,1) - L’(0,1), Ar(t) = 5 ts(1 – st)x(s)ds is compact...

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(bonus) Prove that operator A: L²(0,1) - L’(0,1), Ar(t) = 5 ts(1 – st)x(s)ds is compact and find its spectrum.

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