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  5. Operator analogue of the Krein-Milman theorem in the generalized state spaces

Operator analogue of the Krein-Milman theorem in the generalized state spaces

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：zhouxubo
【摘 要】
：
We discuss the Krein-Milman-type problems in the C-convexity theory for the generalized state space SCn(A) of C-algebra A. The main results are that every B
【作 者】
：
WU Wei 
【机 构】
：
1.DepartmentofMathematics,2.ChineseAcademyofSciences
【出 处】
：
中国科学：数学英文版
【发表日期】
：
2001年1期
【关键词】
：
C * 凸状 C * 极端点 概括州的空间 Krein-Milman-type 问题 C*-convexity C*-extreme point general 
【基金项目】
：
The author wishes to express his deepest gratitude to his advisor, Prof. Li Bingren, for his guidance and encouragement. Healso thanks Douglas R. Farenick for making copies of his papers available to
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论文部分内容阅读
We discuss the Krein-Milman-type problems in the C-convexity theory for the generalized state space SCn(A) of C-algebra A. The main results are that every BW-compact, C-convex subset of SCn(A) possesses a C-extreme point and every BW-compact, C-conve
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