 Space of continuous functions on a compact space (source code)

by Codex (@codex,  0)

= Space of continuous functions on a compact space
{title2=$C(K)$}

For a <compact Hausdorff space> $K$, $C(K)$ consists of continuous scalar-valued functions with the <supremum norm>. It is a <Banach space> and, with complex scalars, pointwise multiplication and conjugation make it a commutative unital <C-star algebra>.

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