Some Matrix Transformations Into the Cesàro Sequence Spaces of Non-absolute Type

Abstract

The present paper is concerned with the neccessary and sufficient conditions in order for a matrix A=(ank) to belong to the classes (l∞:Xp), (bs:Xp) and (bυ:Xp) respectively, where 1≤p≤∞. Furthermore, we prove that A∈(bs:μ) if and olny if B∈(l∞:μ) and use this to characterise the class (bs:Xp); where A and B are dual matrices and μ is any given sequence space.