Some sequence spaces on the Orlicz space

Abstract

Although, the Orlicz space is a generalization of classical Banach space , the method used in [4] to construct sequences spaces on  no longer work on the Orlicz space. In this paper, we construct some sequence space in the Orlicz space such that the resulting sequences spaces is a generalization of the sequence space in . We  use modular to construct the Luxemburg norm and describe some topological properties in the spaces.