Abstract
Let X X be a complex Banach space, ( Ω , ∑ , μ ) (\Omega ,\sum ,\mu ) a finite measure space, and 1 ≤ p > ∞ 1 \leq p > \infty . Then L p ( μ ; X ) {L_p}(\mu ;X) has the analytic Radon-Nikodym property if and only if X X has it.
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