On the fine spectrum of the generalized difference operator defined by a double sequential band matrix over the sequence space $\ell_p$, (1 < p < ∞)
Abstract
The main purpose of this paper is to determine the fine spectrum with
respect to the Goldberg’s classification of the operator $B(\tilde{r},\tilde{s})$defined
by a double sequential band matrix over the sequence space $\ell_p$ where
1 < p < ∞. These results are more general than the spectrum of
the generalized difference operator B(r, s) over $\ell_p$ of Bilgiç and Furkan
[Nonlinear Anal. 68(3)(2008), 499–506].
Başar, F., & Karaisa, A. (2015). On the fine spectrum of the generalized difference operator defined by a double sequential band matrix over the sequence space $\ell_p$, (1 < p < ∞). Hacettepe Journal of Mathematics and Statistics, 44(6), 1315-1332. https://izlik.org/JA58ZU48LS
AMA
1.Başar F, Karaisa A. On the fine spectrum of the generalized difference operator defined by a double sequential band matrix over the sequence space $\ell_p$, (1 < p < ∞). Hacettepe Journal of Mathematics and Statistics. 2015;44(6):1315-1332. https://izlik.org/JA58ZU48LS
Chicago
Başar, Feyzi, and Ali Karaisa. 2015. “On the Fine Spectrum of the Generalized Difference Operator Defined by a Double Sequential Band Matrix over the Sequence Space $\ell_p$, (1 < P < ∞)”. Hacettepe Journal of Mathematics and Statistics 44 (6): 1315-32. https://izlik.org/JA58ZU48LS.
EndNote
Başar F, Karaisa A (December 1, 2015) On the fine spectrum of the generalized difference operator defined by a double sequential band matrix over the sequence space $\ell_p$, (1 < p < ∞). Hacettepe Journal of Mathematics and Statistics 44 6 1315–1332.
IEEE
[1]F. Başar and A. Karaisa, “On the fine spectrum of the generalized difference operator defined by a double sequential band matrix over the sequence space $\ell_p$, (1 < p < ∞)”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 6, pp. 1315–1332, Dec. 2015, [Online]. Available: https://izlik.org/JA58ZU48LS
ISNAD
Başar, Feyzi - Karaisa, Ali. “On the Fine Spectrum of the Generalized Difference Operator Defined by a Double Sequential Band Matrix over the Sequence Space $\ell_p$, (1 < P < ∞)”. Hacettepe Journal of Mathematics and Statistics 44/6 (December 1, 2015): 1315-1332. https://izlik.org/JA58ZU48LS.
JAMA
1.Başar F, Karaisa A. On the fine spectrum of the generalized difference operator defined by a double sequential band matrix over the sequence space $\ell_p$, (1 < p < ∞). Hacettepe Journal of Mathematics and Statistics. 2015;44:1315–1332.
MLA
Başar, Feyzi, and Ali Karaisa. “On the Fine Spectrum of the Generalized Difference Operator Defined by a Double Sequential Band Matrix over the Sequence Space $\ell_p$, (1 < P < ∞)”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 6, Dec. 2015, pp. 1315-32, https://izlik.org/JA58ZU48LS.
Vancouver
1.Feyzi Başar, Ali Karaisa. On the fine spectrum of the generalized difference operator defined by a double sequential band matrix over the sequence space $\ell_p$, (1 < p < ∞). Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Dec. 1;44(6):1315-32. Available from: https://izlik.org/JA58ZU48LS
