咸阳师范学院学报
鹹暘師範學院學報
함양사범학원학보
JOURNAL OF XIANYANG TEACHERS COLLEGE
2011年
4期
13-15,102
,共4页
局部凸空间%向量测度%分解定理
跼部凸空間%嚮量測度%分解定理
국부철공간%향량측도%분해정리
locally convex space%vector measures%decomposition theorem
以Diestel J和Uhl J J的专著《Vector easures》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Fc和Fq，使得F=Fc＋Fp。
以Diestel J和Uhl J J的專著《Vector easures》為基礎，將Banach空間中的Yosida—Hewitt分解定理推廣到瞭跼部凸分離空間；證明瞭彊可加嚮量測度F在域F上存在唯一的彊可加X值嚮量測度Fc和Fq，使得F=Fc＋Fp。
이Diestel J화Uhl J J적전저《Vector easures》위기출，장Banach공간중적Yosida—Hewitt분해정리추엄도료국부철분리공간；증명료강가가향량측도F재역F상존재유일적강가가X치향량측도Fc화Fq，사득F=Fc＋Fp。
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.
