Orlicz-Lacunary bicomplex sequence spaces of difference operators

Abstract

In the present paper we introduce and study some lacunary difference bicomplex sequence spaces by means of Orlicz functions. We make an effort to study some algebraic and topological properties of these sequence spaces. We also show that these spaces are complete paranormed spaces. Further, some inclusion relations between these spaces and some interesting examples are established. Finally, we prove some results on modified complex Banach Algebra in the third section of the paper.