On Sequentially Retractive Inductive Limits
نویسنده
چکیده
Every locally complete inductive limit of sequentially complete locally convex spaces , which satisfies Retakh's condition (M) is regular, sequentially complete and sequentially retractive. A quasiconverse for this theorem and a criterion for sequential retractivity of inductive limits of webbed spaces are given.
منابع مشابه
Sequential Completeness of Inductive Limits
A regular inductive limit of sequentially complete spaces is sequentially complete. For the converse of this theorem we have a weaker result: if indEn is sequentially complete inductive limit, and each constituent space En is closed in indEn, then indEn is α-regular.
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تاریخ انتشار 2002