Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs

Durna, Nuh; ÖZDEMİR, ÖMER

doi:10.17776/csj.1209529

Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs

Nuh DURNA, (Sivas Cumhuriyet Üniversitesi, Fen Fakültesi, Matematik Bölümü, Sivas, Türkiye)

Ömer ÖZDEMİR (Sivas Cumhuriyet Üniversitesi, Fen Fakültesi, Matematik Bölümü, Sivas, Türkiye)

Cumhuriyet Science Journal

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Yıl: 2023 Cilt: 44 Sayı: 1 Sayfa Aralığı: 181 - 187 Metin Dili: İngilizce DOI: 10.17776/csj.1209529 İndeks Tarihi: 25-05-2023

Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs

Öz:

This study aims to bring together some studies on the spectra of difference operators in the literature over the cs sequence space and to provide a basis for related problems. So far, the problem has been solved up to a maximum of 2 orders on the sequence space cs. In this article, we discuss the difference operator Δ^m, represented by a (m+1) banded matrix, which generalizes the difference operators of the form Δ, Δ^2, B(r,s) and B(r,s,t) and we will give its boundedness, spectrum, fine spectrum and some spectral separations over the sequence space cs.

Anahtar Kelime: Spectra fine spectra generalized difference operator band matrix

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Durna N, ÖZDEMİR Ö (2023). Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs. , 181 - 187. 10.17776/csj.1209529
Chicago	Durna Nuh,ÖZDEMİR ÖMER Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs. (2023): 181 - 187. 10.17776/csj.1209529
MLA	Durna Nuh,ÖZDEMİR ÖMER Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs. , 2023, ss.181 - 187. 10.17776/csj.1209529
AMA	Durna N,ÖZDEMİR Ö Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs. . 2023; 181 - 187. 10.17776/csj.1209529
Vancouver	Durna N,ÖZDEMİR Ö Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs. . 2023; 181 - 187. 10.17776/csj.1209529
IEEE	Durna N,ÖZDEMİR Ö "Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs." , ss.181 - 187, 2023. 10.17776/csj.1209529
ISNAD	Durna, Nuh - ÖZDEMİR, ÖMER. "Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs". (2023), 181-187. https://doi.org/10.17776/csj.1209529

APA	Durna N, ÖZDEMİR Ö (2023). Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs. Cumhuriyet Science Journal, 44(1), 181 - 187. 10.17776/csj.1209529
Chicago	Durna Nuh,ÖZDEMİR ÖMER Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs. Cumhuriyet Science Journal 44, no.1 (2023): 181 - 187. 10.17776/csj.1209529
MLA	Durna Nuh,ÖZDEMİR ÖMER Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs. Cumhuriyet Science Journal, vol.44, no.1, 2023, ss.181 - 187. 10.17776/csj.1209529
AMA	Durna N,ÖZDEMİR Ö Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs. Cumhuriyet Science Journal. 2023; 44(1): 181 - 187. 10.17776/csj.1209529
Vancouver	Durna N,ÖZDEMİR Ö Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs. Cumhuriyet Science Journal. 2023; 44(1): 181 - 187. 10.17776/csj.1209529
IEEE	Durna N,ÖZDEMİR Ö "Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs." Cumhuriyet Science Journal, 44, ss.181 - 187, 2023. 10.17776/csj.1209529
ISNAD	Durna, Nuh - ÖZDEMİR, ÖMER. "Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs". Cumhuriyet Science Journal 44/1 (2023), 181-187. https://doi.org/10.17776/csj.1209529