Z-空间上的有界线性泛函的性质

Bounded Linear Function's Quality on Z-Spaces

文章在次范整线性空间中利用Hahn-Banach扩张定理给出泛函存在定理,分隔性定理,这些定理推广赋范线性空间的泛函存在定理、分隔性定理。

In this paper, existence theorem and separation theorem of bounded linear function are gained in Z - space by applying Hahn - Banach extension theorem , existence theorem and separation theorem of normed linear space are generalized .