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

Autor:	Sezer Erdem, Serkan Demiriz
Rok vydání:	2020
Předmět:	symbols.namesake Pure mathematics Engineering General Energy Euler function Möbius function 4-dimensional Euler-Totient matrix operator Double sequence spaces Mühendislik symbols Euler's totient function Matrix operator Double sequence Mathematics
Zdroj:	Volume: 8, Issue: 2 110-122 Mathematical Sciences and Applications E-Notes
ISSN:	2147-6268
DOI:	10.36753/mathenot.733364
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d6b97e5c1e39cb0608938e769b41bcd https://doi.org/10.36753/mathenot.733364 Zobrazit plný text záznamu