ArticleOriginal scientific text
Title
K-extreme point of generalized orlicz sequence spaces with Luxemburg norm
Authors
Abstract
In this paper,we give necessary and sufficient conditions in order that a
point 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.
Keywords
Orlicz function, k-extreme point, linear dependence,
Luxemburg norm