Are the notations $C[0,1]$ and $C([0,1])$ the same?
Solution 1:
As noted in the comments, they generally refer to the same thing. The main motivation is to avoid an unnecessarily-cluttered expression full of brackets and parentheses.
As noted in the comments, they generally refer to the same thing. The main motivation is to avoid an unnecessarily-cluttered expression full of brackets and parentheses.