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 $\displaystyle C(.)$?

Thanks!

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- Nov 5th 2009, 11:38 AMLast_SingularityWhat does V = C([0,1]) mean?
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 $\displaystyle C(.)$?

Thanks! - Nov 5th 2009, 12:46 PMOpalg