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=(a_nk) to belong to the classes (l_∞:X_p), (bs:X_p) and (bυ:X_p) 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:X_p); where A and B are dual matrices and μ is any given sequence space.