| Banach空间中的1阶Bessel列的扰动 |
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| 引用本文： | 王秋芬,曹怀信,武海辉.Banach空间中的1阶Bessel列的扰动[J].西北轻工业学院学报,2009,27(6):137-142. |
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| 作者姓名： | 王秋芬 曹怀信 武海辉 |
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| 作者单位： | 王秋芬,曹怀信(陕西师范大学数学与信息科学学院,陕西,西安,710062);武海辉(西北大学数学系,陕西,西安,710127) |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 用算子论的方法讨论了Banach空间中的 p（1≤p≤∞）阶Bessel列，研究了 p（1≤p≤∞）阶Bessel列扰动成q阶（1/p＋1/q）Bessel列的条件，并给出了1阶Bessel列扰动成1阶和∞阶Bessel列的充分条件，从而得到了一些有趣的结果．
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| 关 键 词： | 1阶Bessel列 Banach空间 扰动 |
PERTURBATIONS OF BESSEL SEQUENCES OF ORDER 1 IN A BANACH SPACE |
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| Affiliation: | WANG Qiu-fen,CAO Huai-xin,WU Hai-hui(1.College of Mathematics and Information Science,Shaanxi Normal Univercity,Xi＇an 710062,China;2.Department of Mathematics,Northwest University,Xi＇an 710127,China) |
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| Abstract: | In this paper,Operator Theory to discuss perturbations of Bessel sequences of order p（1≤p≤∞）in a Banach space is used,the sufficient conditions of that Bessel sequences of order p（1≤p≤∞）become to Bessel sequences of order q under perturbation are obtained and the sufficient conditions of that Bessel sequences of order 1 become to Bessel sequences of order 1 and ∞ by perturbate are given,and then some useful results are obtained. |
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| Keywords: | Bessel sequences of order 1 Banach space perturbation |
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