Banach Space X-Valued Bilateral Sequence Space

Abstract

Aims/ objectives: In this paper we introduce and study vector-valued bilateral sequence space (Z, X, λ, p). We investigate the conditions connected with the comparison of the classes in terms of λ and p so that a class is contained in or equal to another class of same kind. We also study topological linear structure of this space when this space is topolized by a suitable paranorm.