
19.3.30 Linear Operators
Condition: Find the operator conjugated to the operator \ (a: l_ {2} [0.1] \ rishtarrow l_ {2} [0.1] \), if: a) \ (a x (t) = \ int_ {0}^{t} x (s) d s \ (t) = t x (t) \) \) \)) c) \ (a x (t) = t \ int_ {0}^{1} x (s) d s \).