Orlicz序列空间的（弱）正规结构和（LD）性质

NORMAL STRUCTURE AND LD PROPERTY OF ORLICZ SEQUENCE SPACES

本文讨论赋Ｏｒｌｉｃｚ范数的Ｏｒｌｉｃｚ序列空间ｌＭ．主要结果如下：（１）ｌＭ具有Ｌａｍｉ－Ｄｏｚｏ性质Ｍ∈Δ２（２）ｌＭ具有Ｓｕｍ性质（或正规结构）存在ｃ＞０，对［０，ｑ￣（Ｎ－１）（１）］中任一Ｍ（ｕ）的仿射区间有．［３］ｌＭ具有弱Ｓｕｍ性质和弱正规结构。

In this paper, Orlicz sequence spaces endowed with Orlicz norm are discussed. The main results are:(1) l_M has Lami-Dozo propertyM∈Δ_2(2)l_M has sum property(or normal structure)there is c>0 such thatfor any affine interval of M(u)containing in [0,qN￣(-1)(1)].(3)l_M has weak sum-property and weakly normal Structure.