关于有界线性算子的可凹性及其Radon-Nikodym性质  

On the Dentability and Radon-Nikodym Property of Bounded Linear Operators

作　　者：赵焕光[1] 洪振杰[1] 

机构地区：[1]温州师范学院数学系,浙江温州325003

出　　处：《数学学报（中文版）》2000年第5期955-960,共6页Acta Mathematica Sinica：Chinese Series

摘　　要：本文运用向量测度方法研究了Ｂａｎａｃｈ空问上可凹算子类与Ｒａｄｏｎ－Ｎｉｋｏｄｙｍ算子类的特性，并把所得结果用于研究Ｂａｎａｃｈ空间的结构，给出Ｂａｎａｃｈ空间具有Ｒａｎｄｏｎ－Ｎｉｋｏｄｙｍ性质的若干新特征。In this paper, the method of vector measure is used to study the characteristics of dentable operator class and Radon-Nikodym operator class in Banach space. The results obtained are used to research into the structure of Banach space, giving out some new characteristics for Radon-Nikodym property of Banach space.

关 键 词：RADON-NIKODYM性质 巴拿赫空间 有界线性算子 可凹性 

分 类 号：O177.2[理学—数学]