C*代数中方程a*xb+b*x*a=c的解  

Solutions of the Equation a*xb + b*x*a = c in C* Algebra

作　　者：田学刚[1] 

机构地区：[1]滨州学院数学系,山东滨州256603

出　　处：《河南教育学院学报（自然科学版）》2014年第4期23-26,共4页Journal of Henan Institute of Education(Natural Science Edition)

基　　金：滨州学院科研基金项目(BZXYL1106);滨州学院科研基金项目(BZXYL1308)

摘　　要：设a,b,c是C*代数中的3个元素,利用元素的分块矩阵表示技巧和Moore-Penrose广义逆,研究方程a*xb+b*x*a=c的解,在一定条件下,得到了该方程有解的充要条件和解的一般形式.Let a,b,c be three elements in C＊ algebra. By the technique of block matrix and the Moore-Penrose in- verse of elements, the solutions of equation a＊ xb ＋ b＊ x＊ a = c were studied. The sufficient and necessary condi- tions for the existence of solutions, and representations of solutions were established, in some conditions.

关 键 词：C＊代数 投影 正则元 Moore—Penrose逆 

分 类 号：O177.1[理学—数学]