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  3. let x? be a closed subspace and x? be a finite dim

Let X? be a closed subspace and X? be a finite dimensional subspace of a...

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Algebra

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Let X? be a closed subspace and X? be a finite dimensional subspace of a normed space X. Then X? + X? is closed in X.Let X be a normed space such that U(0,1) is totally bounded. Then X is finite dimensional.

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