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.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
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)
关键词
Bohr不等式
算子绝对值
伴随算子
算子矩阵
Bohr inequality
absolute value operator
adjoint operator
operator matrix
