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]).
We investigate the relationships between Retakh's condition (M0), regularity and weak sequential retractivity. For (LM)-spaces, weak sequential retractivity is equivalent to regularity plus a condition which lies between condition (M0) and (Q0)- For (LN)-spaces we obtain more satisfactory result. We prove that weak sequential retractivity is equivalent to regularity plus condition (M0) and hence is equivalent to a very weak regularity condition plus conditionc (M0) (see [1-28]).
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
2006年第6期1231-1238,共8页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金(10571035)