| 线性算子L的性质及其应用 |
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| 引用本文： | 肖雪梅,朱玉灿.线性算子L的性质及其应用[J].辽东学院学报(自然科学版),2008,15(4). |
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| 作者姓名： | 肖雪梅 朱玉灿 |
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| 作者单位： | 1. 辽东学院,师范学院,辽宁,丹东118003
2. 福州大学,数学与计算机科学学院,福建,福州,350002 |
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| 基金项目： | 福建省教育厅项目
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辽东学院科研基金资助项目
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| 摘 要： | 利用泛函分析中的算子理论讨论了Hilbert空间中框架扰动的稳定性结果,并且改进了已有的相关结果:线性算子的条件是可逆的减弱为是满的,证明了对于Riesz基也有类似的扰动性结果。进一步研究了该线性算子的性质,并且把它应用到研究框架的交错对偶中。
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| 关 键 词： | 线性算子L 框架 扰动 Bessel序列 交错对偶框架 |
Properties and Applications of Linear Operator L |
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| XIAO Xue-mei,ZHU Yu-can.Properties and Applications of Linear Operator L[J].Journal of Liaodong University：Natural Sciences,2008,15(4). |
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| Authors: | XIAO Xue-mei ZHU Yu-can |
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| Abstract: | The stability of frames under perturbation in Hilbert spaces was discussed by using the operator theory in functional analysis,and some new results were obtained.It is proved that the invertible requirement for a linear operator can be weakened to be a subjective one,and similar results also be obtained for Riesz basis under perturbation.The properties of the linear operator are further studied,which are applied into the alternate dual frames. |
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| Keywords: | linear operator frame perturbation Bessel sequence alternate dual frame |
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