A question regarding a particular space

Question

I have a question regarding the notation of a space that I came across in a book. What is the definition of $C^0(X, Y)$, where $X$ and $Y$ and normed spaces?

Answer 1

It's the standard notation (in French, at least!) for the set of continuous functions from $X$ to $Y$. It's often written simply as $\mathcal{C}(X,Y)$.