摘要
诱导极限 (E ,t) =ind(En,tn)为正则当且仅当对于 (E ,t)中每个Mackey零序列(xk) ,存在n =n(xk)∈N 使 (xk)含于且有界于 (En,tn)当且仅当对于 (E ,t)中每个紧集K ,存在n =n(K)∈N 使K含于且有界于 (En,tn) .
An indutive limit (E,t)=ind(E n,t n) is regular if and only if for each Mackey null sequence (x k) in (E,t), there exists n=n(x k)∈N * such that (x k) is contained and bounded in (E n,t n) if and only if for each compact set K in (E,t), there exists n=n(K)∈N * such that K is contained and bounded in (E n,t n).
出处
《苏州大学学报（自然科学版）》
CAS
2000年第3期109-111,共3页
Journal of Soochow University(Natural Science Edition)
基金
江苏省教委自然科学基金资助项目!(L0 10 74 1992 4 )
