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

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

Cite

RIS / Bibtex

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

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Anahtar Kelimeler

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

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite