局部凸空间的Yosida-Hewitt分解定理  

Yosida-Hewitt Decomposition in Separated Locally Convex Space

作　　者：狄爱芹[1] 陈钦亚[1] 

机构地区：[1]商丘师范学院数学系,河南商丘476000

出　　处：《咸阳师范学院学报》2011年第4期13-15,102,共4页Journal of Xianyang Normal University

摘　　要：以Diestel J和Uhl JJ的专著《Vectoreasures》为基础,将Banach空间中的Yosida-HeWitt分解定理推广到了局部凸分离空间;证明了强可加向量测度F在域F上存在唯一的强可加X值向量测度F_c和F_q,使得F=F_c+F_p。This thesis wes based onthe monograph Vector Measures of JDiestel and JJUh1,promote several conclusion of vector measures valued in Banach space to locally convex space .We discussed the Yosida-Hewitt decomposition Theorem in separated locally convex space;obtained that existence and uniqueness of decomposition of strong additive vector measure F on certain field.

关 键 词：局部凸空间 向量测度 分解定理 

分 类 号：O175.1[理学—数学]