关于β-正则与一致β-正则诱导极限

丘京辉;张建平

数学学报 ›› 2002, Vol. 45 ›› Issue (2) : 221-226.

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中国科学院数学与系统科学研究院期刊网
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数学学报 ›› 2002, Vol. 45 ›› Issue (2) : 221-226. DOI: 10.12386/A2002sxxb0029
论文

关于β-正则与一致β-正则诱导极限

    丘京辉;张建平
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On β－Regular and Uniformly β－Regular Inductive Limits

    Jing Hui QIU,Jian Ping ZHANG
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摘要

本文举出反例说明文献［７］中关于一致β－正则的充要条件是错误的，并分别给出了诱导极限为β－正则与一致β－正则的正确的充要条件．

Abstract

We construct a counterexample showing that the necessary and sufficient condition given in [7] for inductive limits to be uniformly β－regular is mistaken. More- over, we give some correct necessary and sufficient conditions for inductive limits to be β－regular and uniformly β－regular respectively.

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局部凸空间 / 诱导极限 / 一致β-正则性 / β-正则性

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丘京辉;张建平. 关于β-正则与一致β-正则诱导极限. 数学学报, 2002, 45(2): 221-226 https://doi.org/10.12386/A2002sxxb0029
Jing Hui QIU,Jian Ping ZHANG. On β－Regular and Uniformly β－Regular Inductive Limits. Acta Mathematica Sinica, Chinese Series, 2002, 45(2): 221-226 https://doi.org/10.12386/A2002sxxb0029
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