| 关于绝对基与无条件基 |
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| 引用本文： | 张云南,林丽琼.关于绝对基与无条件基[J].福建师范大学学报(自然科学版),2007,23(6):4-7,23. |
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| 作者姓名： | 张云南 林丽琼 |
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| 作者单位： | 1. 福建师范大学数学与计算机科学学院,福建福州,350007;厦门大学数学科学学院,福建厦门,361005
2. 福州大学数学与计算机科学学院,福建福州,350002 |
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| 摘 要： | 讨论绝对单调基、绝对基和绝对重排基之间的关系,以及绝对基与无条件基的关系,证明了在实空间中,绝对基与1-无条件基是等价的,在复空间中则不然.
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| 关 键 词： | 巴拿赫空间 绝对基 无条件基 |
| 文章编号： | 1000-5277（2007）06-0004-04 |
| 修稿时间： | 2006-12-27 |
On Absolute Bases and Unconditional Bases |
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| ZHANG Yun-nan,LIN Li-qiong.On Absolute Bases and Unconditional Bases[J].Journal of Fujian Teachers University(Natural Science),2007,23(6):4-7,23. |
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| Authors: | ZHANG Yun-nan LIN Li-qiong |
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| Institution: | 1. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China ; 2. Department of Mathematics, Xiamen University, Xiamen 361005, China 3. College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002, China |
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| Abstract: | Discusses the relations of absolute monotone bases,absolute bases and absolute rearrange bases,and discusses the relations of absolute bases and unconditional bases.Proves that absolute bases and 1-unconditional bases are equivalent in real spaces,but it isn't true in complex spaces. |
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| Keywords: | Banach space absolute bases unconditional bases |
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