Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (S1): 83-87.

• Articles • Previous Articles     Next Articles

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

Qiu Jianhui, Zhang Jianping   

  1. 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

Abstract: 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.

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

Trendmd