Characterization of the Radon-nikodym Property in Terms of Inverse Limits
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چکیده
In this paper we clarify the relation between inverse systems, the Radon-Nikodym property, the Asymptotic Norming Property of James-Ho [JH81], and the GFDA spaces introduced in [CK06].
منابع مشابه
Characterizations of the Radon-nikodym Property in Terms of Inverse Limits
We show that a separable Banach space has the RadonNikodym Property (RNP) if and only if it is isomorphic to the limit of an inverse system, V1 ← V2 ← . . . ← Vk ← . . . , where the Vi’s are finite dimensional Banach spaces, and the bonding maps Vk−1 ← Vk are quotient maps. We also show that the inverse system can be chosen to be a good finite dimensional approximation (GFDA), a notion introduc...
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تاریخ انتشار 2008