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THE UNIT BALL OF C^*-ALGEBRA AND DIFFERENTIABILITY OF SUPPORT FUNCTION
引用本文:Y.Dehghan I.Sadeqi. THE UNIT BALL OF C^*-ALGEBRA AND DIFFERENTIABILITY OF SUPPORT FUNCTION[J]. 分析论及其应用, 2005, 21(1): 53-57. DOI: 10.1007/BF02835249
作者姓名:Y.Dehghan I.Sadeqi
作者单位:ShandUniversityofTechnology,Tabriz-Iran
摘    要:In this paper we show that the unit ball of an infinite dimensional commutative C^*-algebra lacks strongly exposed points, so they have no predual. Also in the second part, we use the concept of strongly exposed points in the Frechet differentiability of support convex functions.

关 键 词:C^*-连通代数 凸函数 强暴露点 巴拿赫空间 支撑点
收稿时间:2004-09-01

The unit ball ofC *-algebra and differentiability of support function
Y. Dehghan,I. Sadeqi. The unit ball ofC *-algebra and differentiability of support function[J]. Analysis in Theory and Applications, 2005, 21(1): 53-57. DOI: 10.1007/BF02835249
Authors:Y. Dehghan  I. Sadeqi
Affiliation:(1) Department of Mathematics, Sahand University of Technology, Tabriz, Iran
Abstract:In this paper we show that the unit ball of an infinite dimensional commutative C*-algebra lacks strongly exposed points, so they have no predual. Also in the second part, we use the concept of strongly exposed points in the Frechet differentiability of support convex functions. Supported by the Research Institute of Fundamental Sciences, Tabriz, Iran.
Keywords:Radon-Nikodym property  dentability  support functional  exposed point
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