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 F...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.展开更多
文摘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.
