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取值于局部凸空间中的几种有界变差函数的等价性
引用本文:孙立民,金祥菊.取值于局部凸空间中的几种有界变差函数的等价性[J].茂名学院学报,2009,19(3):69-71.
作者姓名:孙立民  金祥菊
作者单位:茂名学院,理学院,广东,茂名,525000
摘    要:研究了取值于局部凸空间矢值测度的几种抽象有界变差函数的等价性,利用有界变差函数的等价性得到了两个重要的局部凸空间桶形空间和半核空间的特性。

关 键 词:局部凸空间  矢值测度  有界变差  桶空间  核空间

The Equivalent Properties about Some Kinds of Bounded Variations with Valued in Locally Convex Spaces
SUN Li-min,JIN Xiang-jv.The Equivalent Properties about Some Kinds of Bounded Variations with Valued in Locally Convex Spaces[J].Journal of Maoming College,2009,19(3):69-71.
Authors:SUN Li-min  JIN Xiang-jv
Institution:College of Science;Maoming University;Maoming 525000;China
Abstract:In this paper,the equivalent properties about some kinds of bounded variations of vector measures with valued in locally convex spaces has been studied.The characters of barrel space and semi-kernel space with the equivalent properties of bounded variations were obtained.
Keywords:locally convex space  vector measure  bounded variation  barrel space  semi-kernel space    
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