
19.3.12 Linear operators
condition: The operator \( A \) maps the space \( E_{1} \) into the space \( E_{2} \). Find the norm of the operator \(A\). Operators in sequence spaces \begin{tabular}{|c|c|c|} \hline\( E_{1} \) & \( E_{2} \) & \( A \) \\ \hline\( C_{0} \) & \( C_{0} \) & \( (A x)=\left(x_{1}, x_{2}, \ldots, x_{n}, 0,0, \ldots\right) \) \\ \hline \end{tabular}