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Best approximations of infinitely differentiable functions in the space Ls

✍ Scribed by A. I. Stepanets

Publisher: SP MAIK Nauka/Interperiodica
Year: 1987
Tongue: English
Weight: 496 KB
Volume: 42
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf01138720

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The object of this paper is to prove the following theorem: Let \(Y\) be a closed subspace of the Banach space \(X,(S, \Sigma, \mu)\) a \(\sigma\)-finite measure space, \(L(S, Y)\) (respectively, \(L(S, X)\) ) the space of all strongly measurable functions from \(S\) to \(Y\) (respectively, \(X\) ),