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 Mu, Cp, Cbp and Cr. 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.