| Retakh’s条件(M)与(LM)-空间的序列式回缩性 |
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| 引用本文： | 丘京辉,QIU Jing-hui.Retakh’s条件(M)与(LM)-空间的序列式回缩性[J].数学学报,2000,43(6):1105-111. |
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| 作者姓名： | 丘京辉 QIU Jing-hui |
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| 作者单位： | 1. 苏州大学数学科学学院江苏苏州 215006
2. School of Mathematical Science, Suzhou University,Suzhou 215006, P. R. China |
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| 摘 要： | 本文研究了（ＬＭ）－空间（即：可尺度局部凸空间序列的诱导极限）中，Ｒｅ－ｔａｋｈ’ｓ条件（Ｍ）与序列式回缩性之间的关系，给出了满足Ｒｅｔａｋｈ’ｓ条件（Ｍ）的（ＬＭ）－空间为序列式回缩的一系列特征条件．
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| 关 键 词： | 可尺度局部凸空间 (LM)-空间 序列式回缩性 Retakh’s条件(M) |
| 文章编号： | 0583-1431(2000)06-1105-06 |
| 修稿时间： | 1997年10月30 |
Retakh's Condition (M) and Sequential Retractivity of (LM)-Spaces |
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| QIU Jing-hui.Retakh's Condition (M) and Sequential Retractivity of (LM)-Spaces[J].Acta Mathematica Sinica,2000,43(6):1105-111. |
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| Authors: | QIU Jing-hui |
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| Institution: | QIU Jing-hui (School of Mathematical Science, Suzhou University, Suzhou 215006, P. R. China) |
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| Abstract: | In this paper, we investigate the connection between Retakh's condition (M) and sequential retractivity of (LM)-spaces (Here, (LM)-spaces denote countable inductive limits of metrizable locally convex spaces). We give a number of characteristic conditions for (LM)-spaces with Retakh's condition (M) to be sequentially retractive. |
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| Keywords: | Metrizable locally convex spaces (LM)-spaces Sequential retractivity Retakh's condition (M) |
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