19.3.10 Linear operators

Condition: The operator \( A \) maps the space \( E_{1} \) into the space \( E_{2} \). Find the norm of the operator \(A\). Multiplication operator \begin{tabular}{|c|c|c|} \hline\( E_{1} \) & \( E_{2} \) & \( A \) \\ \hline\( C[0 ; 1] \) & \( C[0 ; 1] \) & \( (A x)(t)=\left(t^{2}-t\right) \cdot x(t) \) \\ \hline \end{tabular}