Domain of Euler-totient matrix operator in the space Lₚ

The most apparent aspect of the present study is to introduce a new sequence space Φ⁽Lₚ) derived by double Euler-Totient matrix operator. We examine its topological and algebraic properties and give an inclusion relation. In addition to those, the α-, β(bp)- and γ-duals of the space Φ⁽Lₚ) are determined and finally, some 4-dimensional matrix mapping classes related to this space are characterized.