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

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

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摘要 An (LF)-space (E, t) = md(En, tn) satisfying Retakh's condition (M0) needn't be regular[7]. D. Vogt[7] proved that if every step (En, tn) 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. An (LF)-space (E, t) = md(En, tn) satisfying Retakh's condition (M0) needn't be regular[7]. D. Vogt[7] proved that if every step (En, tn) 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.

作者丘京辉张建平

出处《Acta Mathematica Scientia》 SCIE CSCD 1998年第S1期83-87,共5页 数学物理学报（B辑英文版）

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

分类号 O177 [理学—基础数学]

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1Qiu Jing-Hui.Retakh’s conditions and regularity properties of (LF)-spaces[J]. Archiv der Mathematik . 1996 (4)
2Floret K.On bounded sets in inductive hots of normed spaces. Proceedings of the American Mathematical Society . 1979
3Wengenroth J.Retractive (LF)-spaces. . 1995
4Qin Jinghui.A poed version of Kaiton’s closed graph theorem. Acta Mathematica Scientia . 1995
5Kucera J,Mckennon K.Dieudonne-Schwartz Theorem on bounded sets in inductive hots. Proceedings of the American Mathematical Society . 1980
6Kucera J,Bosch C.Dieuddonne-Schwartz Theorem on bounded sets in inductive limits Ⅱ. Proceedings of the American Mathematical Society . 1982
7Qiu Jinghui.Dieudonne-Schwartz Theorem in inductive limits of metrizable spaces. Proceedings of the American Mathematical Society . 1984
8Qiu Jinghui.Dieudonne-Schwartz Theorem in inductive limits of metrizable spaces Ⅱ. Proceedings of the American Mathematical Society . 1990
9Kucera J,Mckennon K.Preservation of fast completeness under inductive limits. Czechoslovak Mathematical Journal . 1992
10Kothe G.Topological vector spaces Ⅰ. . 1969

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2丘京辉.Retakh’s条件(M)与(LM)-空间的序列式回缩性[J].数学学报（中文版）,2000,43(6):1105-1110.
3丘京辉.Retakh's Conditions (M_0) and Weakly (Sequentially) Compact Regularity[J].Journal of Mathematical Research and Exposition,2002,22(3):325-331.
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Acta Mathematica Scientia

1998年第S1期

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

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