Prove that the space of real-valued continuous functions defined on the interval [0, 1], C 0 [0, 1], is a vector space over the real scalars,

Question

Prove that the space of real-valued continuous functions defined on the interval [0, 1], C 0 [0, 1], is a vector space over the real scalars, and find a basis for this space

Answer 1

I am not familiar with this notation....  [0, 1], C 0 [0, 1],