What does V = C([0,1]) mean?

If is a vector space, what does mean? I am aware that is the compact set on the real line between 0 and 1, but what about the ?

Thanks!

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Originally Posted by Last_Singularity

If is a vector space, what does mean? I am aware that is the compact set on the real line between 0 and 1, but what about the ?

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