4-Dimensional Euler-Totient Matrix Operator and Some Double Sequence Spaces

Abstract

Our main purpose in this study is to investigate the matrix domains of the 4-dimensional Euler-totient matrix operator on the classical double sequence spaces M u , C p , C bp and C r . Besides these, we examine their topological and algebraic properties and give inclusion relations about the new spaces. Also, the α − , β ( ϑ ) − and γ − duals of these spaces are determined and finally, some matrix classes are characterized.