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

Nuh Durna; Ömer Özdemir

doi:10.17776/csj.1209529

EN

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

Abstract

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.

Keywords

Spectra, fine spectra, generalized difference operator, band matrix

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Nuh Durna ^*
0000-0001-5469-7745
Türkiye

Ömer Özdemir
0000-0003-1158-5553
Türkiye

Publication Date

March 26, 2023

Submission Date

November 24, 2022

Acceptance Date

March 16, 2023

Published in Issue

Year 2023 Volume: 44 Number: 1

DOI

https://doi.org/10.17776/csj.1209529

IZ

https://izlik.org/JA22AZ53CU

APA

Durna, N., & Özdemir, Ö. (2023). Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs. Cumhuriyet Science Journal, 44(1), 181-187. https://doi.org/10.17776/csj.1209529

AMA

1.Durna N, Özdemir Ö. Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs. CSJ. 2023;44(1):181-187. doi:10.17776/csj.1209529

Chicago

Durna, Nuh, and Ömer Özdemir. 2023. “Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space Cs”. Cumhuriyet Science Journal 44 (1): 181-87. https://doi.org/10.17776/csj.1209529.

EndNote

Durna N, Özdemir Ö (March 1, 2023) Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs. Cumhuriyet Science Journal 44 1 181–187.

IEEE

[1]N. Durna and Ö. Özdemir, “Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs”, CSJ, vol. 44, no. 1, pp. 181–187, Mar. 2023, doi: 10.17776/csj.1209529.

ISNAD

Durna, Nuh - Özdemir, Ömer. “Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space Cs”. Cumhuriyet Science Journal 44/1 (March 1, 2023): 181-187. https://doi.org/10.17776/csj.1209529.

JAMA

1.Durna N, Özdemir Ö. Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs. CSJ. 2023;44:181–187.

MLA

Durna, Nuh, and Ömer Özdemir. “Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space Cs”. Cumhuriyet Science Journal, vol. 44, no. 1, Mar. 2023, pp. 181-7, doi:10.17776/csj.1209529.

Vancouver

1.Nuh Durna, Ömer Özdemir. Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs. CSJ. 2023 Mar. 1;44(1):181-7. doi:10.17776/csj.1209529

As of 2026, Cumhuriyet Science Journal will be published in six issues per year, released in February, April, June, August, October, and December

Abstract

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

Abstract

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Acceptance Date

Published in Issue

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