摘要
引入了Hilbert K_模上酉群的同态映射、换位、广义完全游荡向量和广义(正规紧)框架向量等概念,研究了其性质,得到了广义框架变换、正交投影和换位之间的关系.
In this paper,the concepts of homomorphic mapping,transposition,generalized complete wandering vector and generalized(normal compact)frame vector of unitary group on Hilbert K_module are introduced,their properties are studied,and the relations among generalized frame transformation,orthogonal projection and transposition are obtained.
作者
董芳芳
DONG Fangfang(College of Mathematical and Statistics,Tianshui Normal University,Tianshui Gansu 741001)
出处
《宁夏师范学院学报》
2022年第1期17-23,共7页
Journal of Ningxia Normal University
关键词
Hilbert
K_模
酉群
同态映射
换位
Hilbert K_module
Unitary group
Homomorphic mapping
Transposition
