Best approximation in Lp(μ, X), II
✍ Scribed by R Khalil; W Deeb
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 186 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0021-9045
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📜 SIMILAR VOLUMES
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, \(X\) ),
## Abstract Let __Y__ be a reflexive subspace of the Banach space __X__, let (Ω, Σ, __μ__) be a finite measure space, and let __L__~∞~(__μ, X__) be the Banach space of all essentially bounded __μ__ ‐Bochner integrable functions on Ω with values in __X__, endowed with its usual norm. Let us suppose