Hilbert C^＊-模上的广义g-框架的扰动  

Perturbations of Generalized g-frame in Hilbert C^＊-modules

作　　者：侯恩冉[1] 方小春[1] 

机构地区：[1]同济大学应用数学系,上海200092

出　　处：《同济大学学报（自然科学版）》2015年第6期932-937,共6页Journal of Tongji University:Natural Science

基　　金：国家自然科学基金(11371279)

摘　　要：主要研究了Hilbert C*-模上的广义g-框架在扰动条件下的稳定性,即一族元素与给定的广义g-框架满足什么条件时能构成广义g-框架.类似于Hilbert空间中的情形,具体给出了3类不同的扰动条件,并用算子理论的方法和技巧证明了广义g-框架在这3类扰动下的不变性结论.最后讨论了Hilbert C*-模上的广义对偶g-框架的稳定性的结果.The stability of the Hilbert C^＊ -modular generalized g-frames under some perturbations was studied to see whether the family will become a generalized g-frame under some perturbations related to the fixed frame. Similar to the Hilbert space, three different situations and respective conclusions were proposed, which were proved by using operatortheoretic-methods. Besides, the stability of the generalized dual g-frame was discussed.

关 键 词：HILBERT C^＊-模 广义g-框架 广义g-框架算子 扰动 

分 类 号：O177.1[理学—数学]