A COUNTER-EXAMPLE CONCERNING THE ANALYTIC RADON-NIKODYM PROPERTY

Citation:

Bu Shangquan.A COUNTER-EXAMPLE CONCERNING THE ANALYTIC RADON-NIKODYM PROPERTY[J].Chinese Annals of Mathematics B,1995,16(1):15~22
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Authors:

Bu Shangquan;
Abstract: It is shown that there exists a J-convex subset C of a complex Hilbert space X} such that the J'-convex hull of the set of all Jensen boundary points of C is different from C .

Keywords:

Analytic Radon-Nikodym property, J-convex subset, Jensen measure, Jensen boundary point, Banach spaces.

Classification:

46B20.
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