K-extreme point of generalized orlicz sequence spaces with Luxemburg norm

Abstract

In this paper,we give necessary and sufficient conditions in order that a point \(u\in S(l_{({\it \Phi})})\) is a k-extreme point in generalized Orlicz sequence spaces equipped with the Luxemburg norm, combing the methods used in classical Orlicz spaces and new methods introduced especially for generalized ones. The results indicate the difference between the classical Orlicz spaces and generalized Orlicz spaces.