赋Luxemburg范数的广义Orlicz序列空间k严格凸性质

k-ROTUNDITY OF GENERALIZED ORLICZ SEQUENCE SPACES WITH LUXEMBURG NORM

借鉴经典Orlicz空间中的方法并发展了广义情形下的新方法,给出了赋Luxemburg范数的广义Orlicz序列空间l(Φ)是k严格凸的充分必要条件.

In this paper,combing the methods used in classical Orlicz spaces and new methods introduced especially for generalized ones,we give the sufficient and necessary conditions for the generalized Orlicz sequence space l（φ） with Luxemburg norm to be k-rotund.