关键词: 广义Orlicz范数, Orlicz序列空间, 局部一致凸, 弱局部一致凸

Abstract:

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.

Key words: generalized Orlicz norm, Orlicz sequence space, locally uniform rotund, weakly locally uniform rotund