A new characterisation of the analytic Radon-Nikodym property

Shangquan, Bu

doi:10.1090/S0002-9939-99-05134-5

A new characterisation of the analytic Radon-Nikodym property
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Proc. Amer. Math. Soc. 128 (2000), 1017-1022 Request permission

Abstract:

We show that a separable complex Banach space $X$ has the analytic Radon-Nikodym property if and only if there exists $1\leq p <\infty$, such that the space consisting of all $L^{p}$-bounded $X$-valued analytic martingales is separable.

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