关于算子｜A＋B｜^2与｜A｜^2,｜B｜^2的不等式  

On Operator Inequalities Involving ｜A＋B｜^2 and ｜A｜^2,｜B｜^2

作　　者：连铁艳[1] 

机构地区：[1]陕西科技大学理学院,西安710021

出　　处：《西南师范大学学报（自然科学版）》2013年第8期22-24,共3页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10571113);陕西省教育厅专项科研计划项目(11JK0488;12JK0879)

摘　　要：把对算子绝对值的研究转换成对2×2算子矩阵的研究.利用算子的Hadamard乘积的性质,得到了关于A*B+B*A,|A+B|和|A|,|B|的不等式,推广了算子绝对值等式,从而得到更广泛的Bohr不等式的形式.A problem of absolute value operators has been converted to a problem of operator matrices.With the properties of the Hadamard product,some inequalities have been obtained involving A＊B＋B＊A,｜A＋B｜ and ｜A｜,｜B｜.Absolute value of operator equation has been extended,and the more extensive version of the Bohr inequality obtained.

关 键 词：Bohr不等式 算子绝对值 伴随算子 算子矩阵 

分 类 号：O177.1[理学—数学]