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

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Mathematical Sciences and Applications E-Notes
Volume:8 Issue:2
4-Dimensional Euler-Totient Matrix Operator and Some Double Sequence Spaces

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

Authors : Sezer ERDEM, Serkan DEMİRİZ

Pages : 110-122

Doi:10.36753/mathenot.733364

View : 27 | Download : 8

Publication Date : 2020-10-15

Article Type : Research Paper

Abstract :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 $\alpha-$, $\betainsert ignore into journalissuearticles values(\vartheta);-$ 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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