保不交算子值域的一些性质  

Some properties of the range of disjointness preserving operators

作　　者：陈志杰[1] 陈滋利[1] 程娜[1] 

机构地区：[1]西南交通大学数学学院,四川成都610031

出　　处：《纯粹数学与应用数学》2009年第4期774-776,815,共4页Pure and Applied Mathematics

摘　　要：研究了保不交算子值域的性质,建立了保不交算子值域为Riesz子空间的一个刻画;又讨论了主理想和主带在保不交算子作用后的象的性质,一些相关结果也得以讨论.In this paper, some properties of the range of disjointness preserving operators are discussed. Firstly, the characterization is given, which is that the range of disjointness preserving operator is Riesz subspace. Secondly, some properties of disjointness preserving operators effecting on principal ideal and band are also given

关 键 词：保不交算子 保区间算子 值域 主带 

分 类 号：O177.2[理学—数学]