| Banach空间上q-Besselian框架的稳定性 |
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| 引用本文： | 艾瑛,卢立才.Banach空间上q-Besselian框架的稳定性[J].沈阳师范大学学报(自然科学版),2010,28(1):12-13. |
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| 作者姓名： | 艾瑛 卢立才 |
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| 作者单位： | 1. 沈阳建筑大学,理学院,辽宁,沈阳,110168
2. 沈阳师范大学,计算机与数学基础教学部,辽宁,沈阳,110034 |
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| 基金项目： | 辽宁省高等学校科学研究项目 |
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| 摘 要： | 人们对框架理论研究的日益广泛和深入,目前对框架的研究已经从Hilbert空间推广到Banach空间,并获得了许多重要结论。首先通过引入分析算子和合成算子的概念,以及q-Besselian框架的等价命题,把Hilbert空间上Besselian框架的稳定性推广到Banach空间,建立Banach空间上q-Besselian框架的合成算子与Fredholm算子之间的联系,得到了q-Besselian框架的充要条件是Fredholm算子的结论。并在此基础上,得出了满足q-Besselian框架的其他结论。文中所得的结论可为研究q-Besselian框架的性质提供了新的视角和方法。
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| 关 键 词： | q-Besselian框架 Fredholm算子 Banach空间 |
Stability of q-Besselian Frame in Banach Spaces |
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| AI Ying,LU Li-cai.Stability of q-Besselian Frame in Banach Spaces[J].Journal of Shenyang Normal University: Nat Sci Ed,2010,28(1):12-13. |
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| Authors: | AI Ying LU Li-cai |
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| Institution: | AI Ying1,LU Li-cai2(1.School of Science,Shenyang Jianzhu University,Shenyang 110168,China,2.Computer , Mathematics Department,Shenyang Normal University,Shenyang 110034,China) |
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| Abstract: | People take increasingly indepth research of frame theory,and the current research of frame theory has extended to the Banach space from the Hilbert space.In the mean while,it received a number of important conclusions.To begin with of this paper,it introduced the concept of analysis operator and synthesis operator,equivalent propositions of q-Besselian frame are clarified at the same time,the stability of the Besselian frame theory is extended from the Hilbert space to the Banach spaces,it also get the one... |
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| Keywords: | q-Besselian frame Fredholm operator Banach spaces |
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