Hilbert K_模上酉群的广义框架向量的T-线性关系  

The T-linear Relations of Generalized Frame Vectors forthe Unitary Group Acting on Hilbert K_ Modules

作　　者：董芳芳[1] 王泰来 刘越里[1] DONG Fangfang;WANG Tailai;LIU Yueli(College of Mathematical and Statistics,Tianshui Normal University,Tianshui 741001,Gansu,China;Shandongjigang Section Steel Co Ltd,Jinan 250100,Shandong,China)

机构地区：[1]天水师范学院数学与统计学院,甘肃天水741001 [2]山东济钢型材有限公司,山东济南250100

出　　处：《咸阳师范学院学报》2023年第2期1-4,共4页Journal of Xianyang Normal University

基　　金：甘肃省教育厅创新基金项目(2022B-158);甘肃省教育厅青年博士基金项目(2022QB-140)。

摘　　要：重新定义了Hilbert K_模上酉系统在某广义框架向量处的广义局部换位,研究了换位与广义局部换位、广义框架变换与换位之间的关系,最后得到关于Hilbert K_模上酉群的广义框架向量之间的T-线性关系的充要条件。The concept of generalized local transposition for unitary system on its generalized frame vector is redefined,and the relationships between transposition and generalized local transposition,generalized frame transform and transposition are studied.Finally,the necessary and sufficient conditions of T-linear dependence on the generalized frame vectors for unitary group are obtained.

关 键 词：Hilbert K_模 酉群 广义局部换位 T-线性相关 

分 类 号：O177.1[理学—数学]