关于λ-乘数收敛级数的Orlicz-Pettis定理

摘要

For a further study of the invariance property of λ-multiplier convergence series,based on the Antosik-Mikusinski basic matrix theorem,proved that the general sequence λ is with weak gliding hump property, and the(λ,c(λ,λβ)) is AK-space,then the Orlicz-Pettis theorem of λ-multiplier convergence series was obtained.%为深入研究λ-乘数收敛级数的不变性，利用Antosik-Mikusinski基本矩阵定理，证明了若一般序列空间λ具有弱滑脊性，则（λ,c(λ,λβ))为AK-空间，进而得到关于λ-乘数收敛的一个Orlicz-Pettis定理。