Question: Let X be a compact metric space. A closed subspace of C(X) is compact if and only if it is bounded and equicontinuous.

Let X be a compact metric space. A closed subspace of C(X) is compact if and only if it is bounded and equicontinuous.

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Assume that is a compact subset of Then is bounded Proposition 11 To show that is equicontinuous cho... View full answer

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