Some notes on the sequence spaces l?p(Gm) and l??(Gm)

Abstract

In this work, we introduce the sequence spaces l?p(Gm) and l??(Gm) derived by the domain of the composition of m-th order generalized difference matrix and lambda matrix. Moreover, we determine some topological properties and examine inclusion relations related to these spaces. Furthermore, we give Schauder basis for the space l?p(Gm). Finally, we determine ?-, ?- and ?- duals of the spaces l?p(Gm) and l??(Gm). © 2017, Gazi University Eti Mahallesi. All rights reserved.