On reflexivity of the Bochner space $L^p$ (µ, E) for arbitrary µ
On reflexivity of the Bochner space $L^p$ (µ, E) for arbitrary µ
Let (Ω, A, µ) be a finite positive measure space, E a Banach space, and 1 < p < ∞. It is known that theBochner space $L^p$(µ, E) is reflexive if and only if E is reflexive. It is also known that L ( $L^1$(µ), E) = $L^infty$ (µ, E) if andonly if E has the Radon–Nikod´ym property. In this study, as an application of hyperstonean spaces, these results areextended to arbitrary measures by replacing the given measure space by an equivalent perfect one.
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- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK