| 线性2—赋范空间中的非线性共逼近 |
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| 引用本文： | 何金苏,史志仙.线性2—赋范空间中的非线性共逼近[J].浙江师范大学学报(自然科学版),2001,24(2):116-119. |
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| 作者姓名： | 何金苏 史志仙 |
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| 作者单位： | 1. 浙江师范大学数理与信息科学学院,
2. 南京电力专科学校数学教研室, |
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| 基金项目： | 国家自然科学基金资助项目(19971013) |
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| 摘 要： | 在线性空间中定义了2－范数，给出了2－赋范空间中共太阳点的定义，讨论了线性2－赋范空间中的非线性共逼近问题，利用一般赋范线性空间中的非线性最佳共逼近的结果，给出了线性2－赋范空间的非线性共逼近的特征定理，并在2－内积空间中讨论了最佳逼近和最佳共逼近之间的联系。
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| 关 键 词： | 2－范数 2－内积 非线性共逼近 共太阳点 线性2－赋范空间 最佳逼近 最佳共逼近 |
| 文章编号： | 1001-5051-(2001)02-0116-04 |
| 修稿时间： | 2000年9月1日 |
Nonlinear coapproximation in linear 2-normed spaces |
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| HE Jin-shu,SHI Zhi-xian.Nonlinear coapproximation in linear 2-normed spaces[J].Journal of Zhejiang Normal University Natural Sciences,2001,24(2):116-119. |
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| Authors: | HE Jin-shu SHI Zhi-xian |
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| Abstract: | The definition of 2-norm was introduced in linear spaces and the linear spaces normed with 2-norm were denoted as linear 2-norm spaces.The authors gave the concept of co-sun point and investigated the problem of nonlinear coapproximation in these spaces.By the related results obtained in nonliear best coapproximation problem in general linear normed spaces,results concerning the characterization of the nonlinear best coapproximation in linear 2-normed spaces were presented,and the relationship between best approximation and the best coapproximation in linear 2-normed spaces were also discussed. |
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| Keywords: | 2-norm 2-inner product coapproximation cosun point |
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