Operator on polynomials, antiderivativeWe are given a linear map: R [ X ] ∋ p...
Operator on polynomials, antiderivative
We are given a linear map:
and two norms on : , .
I want to check whether the map is continuous in these norms.
When it comes to the first norm, I get:
By Lagrange mean value theorem we have that there exists such that , so .
Is that correct so far?