Question

Norm of a mapping

Answer 1

\[C[0,1]=\{f:[0,1]\rightarrow R | \text{$f$ is continuous function}\}\]
\[\|f\|=\max \{|f(x)|:x\in [0,1]\}\]
\[A:(C[0,1],\|\|)\rightarrow(C[0,1],\|\|)\]
\[A(f)(x)=(x^4-x^2)f(x)\]

Find a norm of a mappng A(f)(x)