What is the dual space to $C^1(\mathbb{R})$

1.4k Views Asked by At

Denote the space of continuously differentiable functions by $C^1(\mathbb{R})$, equipped with the $C^1-$norm. My question is what is the dual space to this Banach space? What about $C^k(\mathbb{R})$ for $k\geq2$?