摘要
本文在局部凸空间中定义了H性质和Schur性质,考虑了这两种性质在积空间和商空间的遗传。同时,也得到了具无条件基的Banach空间具H性质或Schur性质的充要条件。
After the property (H) and the properyt (Schur) are defined in locally convex space, we consider the heredity of two kinds of property to product spaces and quotient spaces. Also, the necessary and sufficient conditions are given for Banach spaces with bases to have the property (H) or the property (Schur).
出处
《宁夏大学学报（自然科学版）》
CAS
1991年第3期1-10,共10页
Journal of Ningxia University(Natural Science Edition)
关键词
局部凸空间
H性质
Schur性质
locally convex space, the property(H), the property(Schur), Banach space.
