Hilbert K_模上酉群的广义同态映射  

The generalized homomorphic mapping of unitary group on Hilbert K_module

作　　者：董芳芳[1] DONG Fangfang(College of Mathematical and Statistics,Tianshui Normal University,Tianshui Gansu 741001)

机构地区：[1]天水师范学院数学与统计学院,甘肃天水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

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.

关 键 词：Hilbert K_模 酉群 同态映射 换位 

分 类 号：O177.1[理学—数学]