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Hilbert C^＊-模上的广义g-框架的扰动

Perturbations of Generalized g-frame in Hilbert C^＊-modules
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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.
作者 侯恩冉 方小春
机构地区 同济大学应用数学系
出处 《同济大学学报（自然科学版）》 EI CAS CSCD 北大核心 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)
关键词 HILBERT C^＊-模 广义g-框架 广义g-框架算子 扰动 Hilbert C^＊- module generalized g- frame generalized g-frame operators perturbation
分类号 O177.1 [理学—基础数学]
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参考文献15

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同济大学学报（自然科学版）
2015年 第6期

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