| On Best Approximations from RS-sets in Complex Banach Spaces |
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| 引用本文： | ChongLI. On Best Approximations from RS-sets in Complex Banach Spaces[J]. 数学学报(英文版), 2005, 21(1): 31-38. DOI: 10.1007/s10114-004-0350-2 |
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| 作者姓名： | ChongLI |
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| 作者单位： | DepartmentofMathematics,ZhejiangUniversity,Hangzhou310027,P.R.China |
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| 摘 要： | The concept of an RS-set in a complex Banach space is introduced and the problem of best approximation from an RS-set in a complex space is investigated. Results consisting of characterizations, uniqueness and strong uniqueness are established,
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| 关 键 词： | 复RS-集 近似性 唯一性 巴拿赫空间 闭子集 |
| 收稿时间： | 2001-08-13 |
On Best Approximations from RS–sets in Complex Banach Spaces |
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| Chong Li. On Best Approximations from RS–sets in Complex Banach Spaces[J]. Acta Mathematica Sinica(English Series), 2005, 21(1): 31-38. DOI: 10.1007/s10114-004-0350-2 |
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| Authors: | Chong Li |
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| Affiliation: | (1) Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China |
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| Abstract: | The concept of an RS–set in a complex Banach space is introduced and the problem of best approximation from an RS–set in a complex space is investigated. Results consisting of characterizations, uniqueness and strong uniqueness are established. Supported in part by the National Natural Science Foundation of China (Grant No. 10271025) |
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| Keywords: | Complex RS– set Best approximation Uniqueness Strong uniqueness |
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