If $\displaystyle V$ is a vector space, what does $\displaystyle C([0,1])$ mean? I am aware that $\displaystyle [0,1]$ is the compact set on the real line between 0 and 1, but what about the $\displaystyle C(.)$?

If $\displaystyle V$ is a vector space, what does $\displaystyle C([0,1])$ mean? I am aware that $\displaystyle [0,1]$ is the compact set on the real line between 0 and 1, but what about the $\displaystyle C(.)$?

It usually means the space of all continuous functions on that interval.