利用序列Banach空间中相关序列的特殊技巧研究Orlicz序列空间局部一致凸和弱局部一致凸问题,得到了赋广义Orlicz范数Orlicz序列空间局部一致凸和弱局部一致凸的条件.
Using special techniques that are related to sequence in sequence Banach spaces,the authors studied locally uniform rotundity and weakly locally uniform rotundity of the Orlicz sequence spaces,presenting sufficient and necessary conditions for the Orlicz sequence spaces endowed with the generalized Orlicz norm to make them be locally uniform rotund and weakly locally uniform rotund.