MathProblemsBank

19.3.10 Linear Operators

Condition: operator \ (a \) displays the space \ (e_ {1} \) into space \ (e_ {2} \). Find the norm of the operator \ (A \). Multiplication Operator \ Begin {Tabular} {| C | C |} \ HLINE \ (E_ {1} \) & \ (E_ {2} \) \\ \ HLINE \ (C [0; 1] \) & \ (C [0; 1] EL x) (t) = \ left (t^{2} -t \ right) \ cdot x (t) \) \\ \ hline \ end {Tabular}