| Lax定理与连续左逆的存在性 |
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| 引用本文： | 丘京辉,张建平,黄仁彬. Lax定理与连续左逆的存在性[J]. 数学学报, 2002, 45(4): 683-692. DOI: cnki:ISSN:0583-1431.0.2002-04-009 |
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| 作者姓名： | 丘京辉 张建平 黄仁彬 |
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| 作者单位： | 1. 苏州大学数学系,江苏,苏州,215006
2. 苏州铁道师范学院数学系,江苏,苏州,215009 |
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| 基金项目： | 江苏省教育厅自然科学基金资助项目 |
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| 摘 要： | 本文在局部凸空间的框架下,研究了一般线性算子（未必连续）存在连续左逆的条件,从而获得了Lax定理的一系列新的推广.
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| 关 键 词： | 局部凸空间 Fréchet空间 线性算子 对偶空间 诱导极限 |
| 文章编号： | 0583-1431(2002)04-0683-10 |
| 修稿时间： | 1999-10-12 |
Lax Theorem and the Existence of Continuous Left Inverses |
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| Jing Hui QIU Jian Ping ZHANG. Lax Theorem and the Existence of Continuous Left Inverses[J]. Acta Mathematica Sinica, 2002, 45(4): 683-692. DOI: cnki:ISSN:0583-1431.0.2002-04-009 |
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| Authors: | Jing Hui QIU Jian Ping ZHANG |
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| Affiliation: | Jing Hui QIU Jian Ping ZHANG (Department of Mathematics, Suzhou University, Suzhou 215006, P. R. China)Ren Bin HUANG (Department of Mathematics, Suzhou Railway Teachers College, Suzhou 215009, P. R. China) |
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| Abstract: | In the framework of locally convex spaces, we investigate the condition for linear operators (which need not be continuous) to have continuous left inverses, and obtain a number of extensions of Lax theorem. |
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| Keywords: | Locally convex spaces Frechet space Linear operator Dual space Inductive limit |
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