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Approximative properties of sets in Hilbert space

โœ Scribed by V. S. Balaganskii


Publisher
SP MAIK Nauka/Interperiodica
Year
1982
Tongue
English
Weight
675 KB
Volume
31
Category
Article
ISSN
0001-4346

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C1-Weierstrass for compact sets in Hilbe
โœ H. Movahedi-Lankarani; R. Wells ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 ฯ€ n (X) = X โˆฉ