Let E be a Banach lattice and L 1(μ, E) be the space of E-valued Bochner integrable functions. Some order properties of L 1(μ, E) are given. It is shown that L s ∞ (μ, Z(E)) is the ideal centre of L 1(μ, E) and it is obtained a Radon-Nikodym type theorem for B -integrable functions.
Positivity – Springer Journals
Published: Aug 9, 2008
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