有基局部凸空间的构造性质

A Structure Property of Locally Convex Spaces with Bases

设Ｘ是具有有界基底的叙列完备局部凸空间．本文将给出Ｘ的一些构造性质，并指出具有有界基底的叙列完备局部凸空间是紧生成的．

Let X be a sequentially complete,locally convex space with bounded bases. In this note, we give some structure properties of X, and show that X is compactly generated.