A COUNTER-EXAMPLE CONCERNING THE ANALYTIC RADON-NIKODYM PROPERTY

A COUNTER-EXAMPLE CONCERNING THE ANALYTIC RADON-NIKODYM PROPERTY

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摘要ＡＣＯＵＮＴＥＲ－ＥＸＡＭＰＬＥＣＯＮＣＥＲＮＩＮＧＴＨＥＡＮＡＬＹＴＩＣＲＡＤＯＮ－ＮＩＫＯＤＹＭＰＲＯＰＥＲＴＹ￥ＢＵＳＨＡＮＧＱＵＡＮ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＱｉｎｇｈｕａＵｎｉｖｅｒｓｉｔｙＢｅｉｊｉｎ... 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..

作者 BU SHANGQUAN (Department of Applied Mathematics, Qinghua University Beijing 100084, China.Project supported by the National Natural Science Foundation of China.)

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1995年第1期15-22,共8页 数学年刊（B辑英文版）

关键词凸子集延森测度边界点巴拿赫空间 Analytic Radon-Nikodym property, J-convex subset, Jensen measures Jensen boundary point, Banach spaces.

分类号 O177.2 [理学—基础数学]

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1Shixin Gan, Department of Mathematics, Wuhan University, Wuhan 430072, P. R. China.A. S. Convergence of Two-Parameter Banach Space Valued Martingales and the Radon-Nikodym Property of Banach Spaces[J].Acta Mathematica Sinica,English Series,1999,15(2):187-196.
2BU Shangquan (Department of Applied Mathematics, Tsinghua University, Beijing 100084, China).THE EXISTENCE OF JENSEN BOUNDARY POINTS IN COMPLEX BANACH SPACES[J].Systems Science and Mathematical Sciences,1999,12(1):8-12.
3步尚全.EXISTENCE OF RADIAL LIMITS OF HARMONIC FUNCTIONS IN BANACH SPACES[J].Chinese Annals of Mathematics,Series B,1992,13(1):110-117.
4陈泽乾,欧阳才衡.VECTOR-VALUED HOLOMORPHIC FUNCTIONS ON THE COMPLEX BALL AND THE ANALYTIC RADON-NIKODYM PROPERTY[J].Acta Mathematica Scientia,2000,20(2):278-288.
5袁荣.STABILITY AND ALMOST PERIODIC SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY[J].Acta Mathematicae Applicatae Sinica,1998,14(1):68-73. 被引量：1
6ZHANG Liping(Institute of Applied Mathematics, Academia Sinica, Beijing 100080, China)WANG Changyu(Institute of Operations Research, Qufu Normal University, Qufu 273165, China).AN ALGORITHM FOR CONTINUOUS TYPE OPTIMAL SPHERICAL FACILITY LOCATION PROBLEM[J].Systems Science and Mathematical Sciences,1999,12(3):210-215.
7BU SHANGQUAN Department of Applied Mathematics, Tsinghua University, Beijing 100084, China. E-mail: sbu@math.tsinghua.edu.cn.THE EXISTENCE OF RADIAL LIMITS OF ANALYTIC FUNCTIONS IN BANACH SPACES[J].Chinese Annals of Mathematics,Series B,2001,22(4):513-518.
8郭铁信.Radon-Nikodym property of conjugate Banach spaces and w*-equivalence theorems of w*-u-measurable functions[J].Science China Mathematics,1996,39(10):1034-1041. 被引量：11
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Chinese Annals of Mathematics,Series B

1995年第1期

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A COUNTER-EXAMPLE CONCERNING THE ANALYTIC RADON-NIKODYM PROPERTY

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