EN
Spectrum and Fine Spectrum of the Triple Repetitive Double-Band Matrix Over the Sequence Space $cs$
Abstract
The aim of our study is to obtain the spectrum, fine spectrum, approximate point spectrum, defect spectrum and compression spectrum of triple repetitive double-band matrix over the $cs$ sequence space. In addition, the spectrum and fine spectrum of the $n$-repetitive form were investigated in the space of this matrix.
Keywords
References
- [1] A. M. Akhmedov and F. Bas¸ar, On the fine spectrum of the Ces`aro operator in c0, Math. J. Ibaraki Univ. Vol:36, (2004), 25-32.
- [2] A. M. Akhmedov and F. Bas¸ar, The Fine Spectra of the Cesaro Operator C1 over the Sequence Space bvp, (1 p < ¥), Math. J. Okayama University, Vol:50, No.1 (2008), Article 7.
- [3] A.M. Akhmedov and S.R. El-Shabrawy, On the fine spectrum of the operator Da;b over the sequence space c, Comput. Math. Appl. Vol:61, No.10 (2011), 2994-3002.
- [4] Appell, J., De Pascale, E., and Vignoli, A., Nonlinear Spectral Theory, Walter de Gruyter, Berlin, New York, 2004.
- [5] B. Altay and F. Basar, On the fine spectrum of the generalized difference operator B(r; s) over the sequence spaces c0 and c, Int. J. Math. Math. Sci., Vol:18, (2005), 3005-3013.
- [6] S. Aydın and H. Polat , Difference sequence spaces derived by using Pascal transform, Fundam. J. Math. Appl., Vol:2, No.1 (2019), 56-62. doi:10.33401/fujma.541721.
- [7] H. Bilgic and H. Furkan, On the fine spectrum of the operator B(r; s; t) over the sequence spaces `1 and bv, Math. Comput. Modelling, Vol:45, (2007), 883-891.
- [8] M. Candan, A new aspect for some sequence spaces derived using the domain of the matrix ˆB, Fundam. J. Math. Appl., Vol:5, No.1 (2022), 51-62. doi:10.33401/fujma.1003752.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
October 31, 2023
Submission Date
September 26, 2022
Acceptance Date
September 29, 2023
Published in Issue
Year 2023 Volume: 11 Number: 2
APA
Kılıç, R., & Durna, N. (2023). Spectrum and Fine Spectrum of the Triple Repetitive Double-Band Matrix Over the Sequence Space $cs$. Konuralp Journal of Mathematics, 11(2), 97-104. https://izlik.org/JA67DS93AJ
AMA
1.Kılıç R, Durna N. Spectrum and Fine Spectrum of the Triple Repetitive Double-Band Matrix Over the Sequence Space $cs$. Konuralp J. Math. 2023;11(2):97-104. https://izlik.org/JA67DS93AJ
Chicago
Kılıç, Rabia, and Nuh Durna. 2023. “Spectrum and Fine Spectrum of the Triple Repetitive Double-Band Matrix Over the Sequence Space $cs$”. Konuralp Journal of Mathematics 11 (2): 97-104. https://izlik.org/JA67DS93AJ.
EndNote
Kılıç R, Durna N (October 1, 2023) Spectrum and Fine Spectrum of the Triple Repetitive Double-Band Matrix Over the Sequence Space $cs$. Konuralp Journal of Mathematics 11 2 97–104.
IEEE
[1]R. Kılıç and N. Durna, “Spectrum and Fine Spectrum of the Triple Repetitive Double-Band Matrix Over the Sequence Space $cs$”, Konuralp J. Math., vol. 11, no. 2, pp. 97–104, Oct. 2023, [Online]. Available: https://izlik.org/JA67DS93AJ
ISNAD
Kılıç, Rabia - Durna, Nuh. “Spectrum and Fine Spectrum of the Triple Repetitive Double-Band Matrix Over the Sequence Space $cs$”. Konuralp Journal of Mathematics 11/2 (October 1, 2023): 97-104. https://izlik.org/JA67DS93AJ.
JAMA
1.Kılıç R, Durna N. Spectrum and Fine Spectrum of the Triple Repetitive Double-Band Matrix Over the Sequence Space $cs$. Konuralp J. Math. 2023;11:97–104.
MLA
Kılıç, Rabia, and Nuh Durna. “Spectrum and Fine Spectrum of the Triple Repetitive Double-Band Matrix Over the Sequence Space $cs$”. Konuralp Journal of Mathematics, vol. 11, no. 2, Oct. 2023, pp. 97-104, https://izlik.org/JA67DS93AJ.
Vancouver
1.Rabia Kılıç, Nuh Durna. Spectrum and Fine Spectrum of the Triple Repetitive Double-Band Matrix Over the Sequence Space $cs$. Konuralp J. Math. [Internet]. 2023 Oct. 1;11(2):97-104. Available from: https://izlik.org/JA67DS93AJ
