| 弱序列式回缩(LM)-空间的特征 |
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| 引用本文： | 丘京辉. 弱序列式回缩(LM)-空间的特征[J]. 数学学报, 2006, 49(6): 1231-123. DOI: cnki:ISSN:0583-1431.0.2006-06-006 |
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| 作者姓名： | 丘京辉 |
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| 作者单位： | 苏州大学数学系,苏州215006 |
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| 基金项目： | 国家自然科学基金资助项目（10571035） |
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| 摘 要： | 本文研究Retakh's条件(M_0),正则性和弱序列式回缩性之间的关系．对于(LM)-空间,弱序列式回缩性等价于正则性加上一个介于(Q_0)和(M_0)之间的条件对于(LN)-空间,我们获得了更满意的结果,证明了弱序列式回缩性等价于正则性加上条件(M_0),也等价于一个非常弱的正则性条件加上条件(M_0)(见文献[1-28])．
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| 关 键 词： | 诱导极限 弱零调性 Retakh's条件 |
| 文章编号： | 0583-1431（2006）06-1231-08 |
| 收稿时间： | 2004-10-04 |
| 修稿时间： | 2004-10-042005-08-25 |
Characterizations of Weakly Sequentially Retractive(LM)-Spaces |
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| Jing Hui QIU. Characterizations of Weakly Sequentially Retractive(LM)-Spaces[J]. Acta Mathematica Sinica, 2006, 49(6): 1231-123. DOI: cnki:ISSN:0583-1431.0.2006-06-006 |
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| Authors: | Jing Hui QIU |
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| Affiliation: | Department of Mathematics, Suzhou University, Suzhou 215006, P. R. China |
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| Abstract: | We investigate the relationships between Retakh's condition (M_0),regular- ity and weak sequential retractivity.For (LM)-spaces,weak sequential retractivity is equivalent to regularity plus a condition which lies between condition (M_0) and (Q_0). For (LN)-spaces we obtain more satisfactory result.We prove that weak sequential retractivity is equivalent to regularity plus condition (M_0) and hence is equivalent to a very weak regularity condition plus conditionc (M_0) (see [1-28]). |
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| Keywords: | inductive limits weak acyclicity Retakh's condition |
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