Retakh’s条件(M)与(LM)-空间的序列式回缩性

Retakh's Condition (M) and Sequential Retractivity of (LM)-Spaces

本文研究了（ＬＭ）－空间（即：可尺度局部凸空间序列的诱导极限）中，Ｒｅ－ｔａｋｈ’ｓ条件（Ｍ）与序列式回缩性之间的关系，给出了满足Ｒｅｔａｋｈ’ｓ条件（Ｍ）的（ＬＭ）－空间为序列式回缩的一系列特征条件．

In this paper, we investigate the connection between Retakh's condition (M) and sequential retractivity of (LM)-spaces (Here, (LM)-spaces denote countable inductive limits of metrizable locally convex spaces). We give a number of characteristic conditions for (LM)-spaces with Retakh's condition (M) to be sequentially retractive.