摘要
本文综合报告作者在局部-b凸分析研究方面的一些工作,主要给出-b集的结构定理,-b凸泛函的连续性定理和延拓定理,局部-b凸空间中的第二分离性定理,Krein-Milman定理,共轭锥* bX中的共鸣定理以及* bX的拟平移不变性与完备性定理等。
The author抯 some works in locally -bconvex analysis is reported in this paper. The structure theorem of -bconvex sets, the continuity and Hahn-Banach theorem of -bconvex functionals, the second separation theorem, the Krein-Milman theorem, the uniform boundedness theorem, the theorem of quasi-translation invariant property and the completeness of conjugate cone are obtained.
出处
《青岛大学学报（自然科学版）》
CAS
2001年第4期32-40,共9页
Journal of Qingdao University(Natural Science Edition)
关键词
β-凸集
局部Β-凸空间
共轭锥
拟平移不变拓扑锥
连续性
代数结构
延拓定理
bconvex set
Locally -bconvex space
Conjugate cone
Subcomplete
Quasi-translation invariant topological cone
Normed conjugate cone
