赋Orlicz范数的Musielak-Orlicz序列空间的k-β点

On the( k-β) Points of Musielak-Orlicz Sequence Spaces Equipped with the Orlicz Norm

Musielak-Orlicz空间是经典Orlicz空间的推广,研究了赋Orlicz范数的Musielak-Orlicz序列空间的k-β点的刻画问题.首先在Banach空间中引入了k-β点的定义,然后给出了赋Orlicz范数的Musielak-Orlicz序列空间中k-β点的判别条件,从而得出了该空间具有局部k-β性质的等价条件.

Musielak-Orlicz spaces is the generalization of classical Orlicz spaces.In this paper,we investigated the problem of characterization of the(k-β)points in Musielak-Orlicz sequence spaces equipped with the Orlicz norm.Firstly,the definition of(k-β)point is introduced.Afterward a criteria for(k-β)points in Musielak-Orlicz sequence spaces equipped with the Orlicz norm was given,and then we got the equivalent condition for local property(k-β)of these spaces.