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

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.

Keywords:

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

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Mathematical Sciences and Applications E-Notes-Cover

ISSN: 2147-6268
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 2013
Yayıncı: -

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