IMPROVEMENTS OF A RESULT OF D.VOGT ON (LF)-SPACES

数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (S1): 83-87.

IMPROVEMENTS OF A RESULT OF D.VOGT ON (LF)-SPACES

丘京辉, 张建平

Department of Mathematics, Suzhou University, Suzhou 215006, China

收稿日期:1997-03-17 修回日期:1997-10-15 出版日期:1998-12-31 发布日期:1998-12-31
基金资助:
This work is supported by Jiangsu Provincial Natural Science Foundation

IMPROVEMENTS OF A RESULT OF D.VOGT ON (LF)-SPACES

Qiu Jianhui, Zhang Jianping

Department of Mathematics, Suzhou University, Suzhou 215006, China

Received:1997-03-17 Revised:1997-10-15 Online:1998-12-31 Published:1998-12-31
Supported by:
This work is supported by Jiangsu Provincial Natural Science Foundation

摘要/Abstract

摘要： An (LF)-space (E, t)=md(E_n, t_n) satisfying Retakh's condition (M₀) needn't be regular^[7]. D. Vogt^[7] proved that if every step (E_n, t_n) is reflealve then it is regular.By using the fort that the biduals of Frechet spaces are weakdy sequentially complete.the authors give some weaker conditions for (LF)-spaces satisfying condition (M₀) to be regular, which improve the ah ore Vogt's result.

关键词: (LF)-space, Retakh's condition (M₀), regularity

Abstract: An (LF)-space (E, t)=md(E_n, t_n) satisfying Retakh's condition (M₀) needn't be regular^[7]. D. Vogt^[7] proved that if every step (E_n, t_n) is reflealve then it is regular.By using the fort that the biduals of Frechet spaces are weakdy sequentially complete.the authors give some weaker conditions for (LF)-spaces satisfying condition (M₀) to be regular, which improve the ah ore Vogt's result.

Key words: (LF)-space, Retakh's condition (M₀), regularity

丘京辉, 张建平. IMPROVEMENTS OF A RESULT OF D.VOGT ON (LF)-SPACES[J]. 数学物理学报(英文版), 1998, 18(S1): 83-87.

Qiu Jianhui, Zhang Jianping. IMPROVEMENTS OF A RESULT OF D.VOGT ON (LF)-SPACES[J]. Acta mathematica scientia,Series B, 1998, 18(S1): 83-87.

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IMPROVEMENTS OF A RESULT OF D.VOGT ON (LF)-SPACES

IMPROVEMENTS OF A RESULT OF D.VOGT ON (LF)-SPACES

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