On the spectrum of the upper triangular double band matrix $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$ over the sequence space $c$
Yıl: 2022 Cilt: 71 Sayı: 2 Sayfa Aralığı: 554 - 565 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.977593 İndeks Tarihi: 05-09-2022
On the spectrum of the upper triangular double band matrix $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$ over the sequence space $c$
Öz: The upper triangular double band matrix $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$ is defined on a Banach sequence space by $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})(x_{n})=(a_{n}x_{n}+b_{n}x_{n+1})_{n=0}^{infty}$where $a_{x}=a_{y},~b_{x}=b_{y}$ for $xequiv y~(mod3)$. The class of the operator$U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$includes, in particular, the operator $U(r,s)$ when $a_{k}=r$ and $b_{k}=s$ for all $kinmathbb{N}$, with $r,sinmathbb{R}$ and $sneq 0$. Also, it includes the upper difference operator; $a_{k}=1$ and $b_{k}=-1$ for all $kinmathbb{N}$. In this paper, we completely determine the spectrum, the fine spectrum, the approximate point spectrum, the defect spectrum, and the compression spectrum of the operator $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$ over the sequence space $c$.
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| APA | Durna N, KILIÇ R (2022). On the spectrum of the upper triangular double band matrix $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$ over the sequence space $c$. , 554 - 565. 10.31801/cfsuasmas.977593 |
| Chicago | Durna Nuh,KILIÇ RABİA On the spectrum of the upper triangular double band matrix $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$ over the sequence space $c$. (2022): 554 - 565. 10.31801/cfsuasmas.977593 |
| MLA | Durna Nuh,KILIÇ RABİA On the spectrum of the upper triangular double band matrix $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$ over the sequence space $c$. , 2022, ss.554 - 565. 10.31801/cfsuasmas.977593 |
| AMA | Durna N,KILIÇ R On the spectrum of the upper triangular double band matrix $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$ over the sequence space $c$. . 2022; 554 - 565. 10.31801/cfsuasmas.977593 |
| Vancouver | Durna N,KILIÇ R On the spectrum of the upper triangular double band matrix $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$ over the sequence space $c$. . 2022; 554 - 565. 10.31801/cfsuasmas.977593 |
| IEEE | Durna N,KILIÇ R "On the spectrum of the upper triangular double band matrix $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$ over the sequence space $c$." , ss.554 - 565, 2022. 10.31801/cfsuasmas.977593 |
| ISNAD | Durna, Nuh - KILIÇ, RABİA. "On the spectrum of the upper triangular double band matrix $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$ over the sequence space $c$". (2022), 554-565. https://doi.org/10.31801/cfsuasmas.977593 |
| APA | Durna N, KILIÇ R (2022). On the spectrum of the upper triangular double band matrix $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$ over the sequence space $c$. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 71(2), 554 - 565. 10.31801/cfsuasmas.977593 |
| Chicago | Durna Nuh,KILIÇ RABİA On the spectrum of the upper triangular double band matrix $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$ over the sequence space $c$. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 71, no.2 (2022): 554 - 565. 10.31801/cfsuasmas.977593 |
| MLA | Durna Nuh,KILIÇ RABİA On the spectrum of the upper triangular double band matrix $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$ over the sequence space $c$. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.71, no.2, 2022, ss.554 - 565. 10.31801/cfsuasmas.977593 |
| AMA | Durna N,KILIÇ R On the spectrum of the upper triangular double band matrix $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$ over the sequence space $c$. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2022; 71(2): 554 - 565. 10.31801/cfsuasmas.977593 |
| Vancouver | Durna N,KILIÇ R On the spectrum of the upper triangular double band matrix $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$ over the sequence space $c$. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2022; 71(2): 554 - 565. 10.31801/cfsuasmas.977593 |
| IEEE | Durna N,KILIÇ R "On the spectrum of the upper triangular double band matrix $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$ over the sequence space $c$." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 71, ss.554 - 565, 2022. 10.31801/cfsuasmas.977593 |
| ISNAD | Durna, Nuh - KILIÇ, RABİA. "On the spectrum of the upper triangular double band matrix $U(a_{0},a_{1},a_{2};b_{0},b_{1},b_{2})$ over the sequence space $c$". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 71/2 (2022), 554-565. https://doi.org/10.31801/cfsuasmas.977593 |
