Banach代数上导子的像和最简形式  

Image and Simple Form of a Derivation on a Banach Algebra

作　　者：刘俊平[1] 

机构地区：[1]华东师范大学数学系,上海200062

出　　处：《华东师范大学学报（自然科学版）》2007年第1期1-6,共6页Journal of East China Normal University(Natural Science)

基　　金：上海市重点学科建设项目

摘　　要：证实了J．Vukman关于非交换Banach代数上线性导子像的猜测;给出了复Banach代数上线性导子映代数入其Jacobson根的几个充分条件和线性导子具有最简形式的充要条件．This paper proved Vukman＇s conjecture concerning the image of a linear derivation on a Banach algebra, gave some sufficient conditions that the image of a linear derivation on complex Banach algebra was in the Jacobson radical, and also discussed the simple form of a linear derivation on an annihilator Banach algebra.

关 键 词：线性导子 极小素理想 JACOBSON根 

分 类 号：O177.5[理学—数学]