局部凸空间的Lebesgue分解定理  

Lebesgue decomposition in locally convex space

作　　者：狄爱芹[1] 陈钦亚[1] 

机构地区：[1]河南商丘师范学院数学系,河南商丘476000

出　　处：《纺织高校基础科学学报》2012年第2期158-161,共4页Basic Sciences Journal of Textile Universities

摘　　要：将Banach空间中的关于向量测度的重要结果推广到局部凸空间.讨论局部凸分离空间的Lebesgue分解定理.即F:F→X是强可加向量测度,则在F上存在惟一的强可加X值的、相互奇异的向量测度Fc和Fs,使得F=Fc+Fs.Several conclusion of vector measures valued in Banach space was promoted to locally convex space. The Lebesgue decomposition Theorem in separated locally convex space wes discussed. Then there exist unique strongly additive vector measures Fc and Fs,on to X such F=Fc＋Fs.

关 键 词：局部凸空间 向量测度 分解定理 

分 类 号：O177.3[理学—数学]