| Hilbert C*模上的广义g框架的扰动 |
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| 引用本文： | 侯恩冉,方小春.Hilbert C*模上的广义g框架的扰动[J].同济大学学报(自然科学版),2015,43(6):0932-0937. |
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| 作者姓名： | 侯恩冉 方小春 |
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| 作者单位： | 同济大学 应用数学系,上海 200092,同济大学 应用数学系,上海 200092 |
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| 基金项目： | 国家自然科学基金项目（11371279） |
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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.
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| 关 键 词： | Hilbert C*-模 广义g-框架 广义g-框架算子 扰动 |
| 收稿时间： | 2014/4/25 0:00:00 |
| 修稿时间： | 2015/3/10 0:00:00 |
Perturbations of Generalized gframe in Hilbert C*modules |
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| HOU Enran and FANG Xiaochun.Perturbations of Generalized gframe in Hilbert C*modules[J].Journal of Tongji University(Natural Science),2015,43(6):0932-0937. |
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| Authors: | HOU Enran and FANG Xiaochun |
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| Institution: | Department of Applied Mathematics, Tongji University, Shanghai 200092, China and Department of Applied Mathematics, Tongji University, Shanghai 200092, China |
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| Abstract: | 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 operator theoretic methods. Besides, the stability of the generalized dual g frame was discussed. |
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| Keywords: | Hilbert C*module generalized gframe generalized gframe operators perturbation |
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