19.3.14 Linear Operators

Condition: operator \ (a \) displays the space \ (e_ {1} \) into space \ (e_ {2} \). Find the norm of the operator \ (A \). Integral Operator \ Begin {Tabular} {| l | l | l |} \ hline \ (l_ {2} [0.2] \) & \ (l_ {2} [0.1] \) & \ ((a x) (t) = \ int_ {0}^{2} (t+1) s^{2} x \ left (s^{2} \ right) d s \) \\ \ hline \ end {Tabular}