数学季刊(英文版)
數學季刊(英文版)
수학계간(영문판)
CHINESE QUARTERLY JOURANL OF AMTHEMTICS
2003年
2期
182-185
,共4页
dual pair%signed weak gliding hump property%sequentially completeness
In this paper, we introduce the signed weak gliding hump property in a dual pair with the structure of a system of sections and show that if a dual pair [E,F] has the signed weak gliding hump property, then the β-dual space of E is a weak sequentially complete space if and only if for every n∈N,(F[n],σ(F[n],E[n])) is sequentially complete. Furthermore, we also prove that if [E,F] has the signed weak gliding hump property, then (E,τ(E,E〈β〉)) is an AK-space.
