拓扑代数上正线性泛函的连续性  

The atomatic continuity of positive linear function on topological algebra

作　　者：王拉省[1] 

机构地区：[1]西安工程科技学院数理系,陕西西安710048

出　　处：《纺织高校基础科学学报》2002年第3期245-247,共3页Basic Sciences Journal of Textile Universities

摘　　要：通过引入 P交换理想 ,讨论了拓扑代数上正线性论函的连续性 .证明了当 A2 是余维有限的 P交换闭理想时 ,则 Banach代数By introducing P commutative ideal,the atomatic continuity of positive linear functionals on topological algebra was discussed.It was proved that every positive linear functions on Banach * algebra A is continuous when A 2 is closed P commutative deal of finite condimension

关 键 词：P可换理想 余维有限 拓扑代数 正线性泛函 连续性 

分 类 号：O177.1[理学—数学]