C1-Weierstrass for compact sets in Hilbe
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H. Movahedi-Lankarani; R. Wells
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Article
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2003
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Elsevier Science
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English
⚖ 219 KB
The C 1 -Weierstrass approximation theorem is proved for any compact subset X of a Hilbert space H. The same theorem is also proved for Whitney 1-jets on X when X satisfies the following further condition: There exist finite dimensional linear subspaces n 1 H n is dense in span{X} and π n (X) = X ∩