局部凸空间序列完备性的“提升性质”

摘要

基于局部凸算子空间表示定理，研究了有界向量测度ba（F，X）的序列完备性和P^＊＊-完备性，由此知道局部凸空间的序列完备性具有“提升性质”．%In view of the representation theorem in locally convex operators space, we studied the sequential completeness and P^ ＊ ＊ completeness of bounded vector measure space ba（ F, X） . From this we knew that the sequential completeness of locally convex spaces has the ＂lifting property＂.