| 关于Moore-Penrose逆T+连续性的一个注 |
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| 引用本文： | 黄强联,马吉溥. 关于Moore-Penrose逆T+连续性的一个注[J]. 应用数学, 2006, 19(4): 776-781 |
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| 作者姓名： | 黄强联 马吉溥 |
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| 作者单位： | 1. 扬州大学数学科学学院,扬州,225002
2. 南京大学数学系,南京,210093 |
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| 摘 要： | 设X为拓扑空间.H1和H2为Hilbert空间,T(·)为X到B(H1,H2)的连续映射.本文主要利用Tikhonov正则化算子给出了Moore-Penrose逆T x连续的充分必要条件.这个结果在计算数学中是很重要的.
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| 关 键 词： | Moore-Penrose逆 Tikhonov正则化算子 Hilbert空间 |
| 文章编号： | 1001-9847(2006)04-0776-06 |
| 收稿时间： | 2006-03-03 |
| 修稿时间： | 2006-03-03 |
A Note on the Continuity of Moore-Penrose Inverses T+ |
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| HUANG Qiang-lian,MA Ji-pu. A Note on the Continuity of Moore-Penrose Inverses T+[J]. Mathematica Applicata, 2006, 19(4): 776-781 |
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| Authors: | HUANG Qiang-lian MA Ji-pu |
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| Affiliation: | 1. College of Mathematics, Yangzhou University, Yangzhou 225002, China ; 2. Department of Mathematics, Nanjing University, Nanjing 210093, China |
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| Abstract: | Let X be a topological space.Let H1 and H2 be two Hilbert spaces and T(·) be a continuous mapping from X into B(H1,H2).In this paper,using the Tickhonov regularizer,we give a sufficient and necessary condition for the Moore-Penrose inverses T+x being continuous,which plays an important role in the computation. |
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| Keywords: | Moore-Penrose inverse Tickhonov regularizer Hilbert space |
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