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

Yıl 2020, Cilt: 8 Sayı: 2, 110 - 122, 15.10.2020

Sezer Erdem , Serkan Demiriz

https://doi.org/10.36753/mathenot.733364

Cited By: 3

Öz

Our main purpose in this study is to define
the 4-dimensional Euler-Totient matrix operator and to investigate the matrix domains
of this matrix on the classical double sequence spaces $\mathcal{M}_{u}$, $\mathcal{C}_{p}$, $\mathcal{C}_{bp}$ and $\mathcal{C}_{r}$.
Besides these, we examine their topological and algebraic properties and give inclusion relations about the new spaces.
Also, the $\alpha-$, $\beta(\vartheta)-$ and $\gamma-$duals of these spaces are determined and finally, some matrix classes are characterized.

Anahtar Kelimeler

Euler function, Möbius function, 4-dimensional Euler-Totient matrix operator, Double sequence spaces

Kaynakça

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