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Best simultaneous approximation of bounded functions with values in certain Banach spaces

✍ Scribed by Jaroslav Mach


Publisher
Springer
Year
1979
Tongue
English
Weight
472 KB
Volume
240
Category
Article
ISSN
0025-5831

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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, \(X\) ),