期刊论文详细信息
Cumhuriyet Science Journal | |
Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs | |
article | |
Nuh DURNA1  Ömer ÖZDEMİR2  | |
[1] SİVAS CUMHURİYET ÜNİVERSİTESİ;SIVAS CUMHURIYET UNIVERSITY | |
关键词: Spectra; fine spectra; generalized difference operator; band matrix; | |
DOI : 10.17776/csj.1209529 | |
学科分类:工程和技术(综合) | |
来源: Cumhuriyet University | |
【 摘 要 】
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.
【 授权许可】
CC BY-NC-ND
【 预 览 】
Files | Size | Format | View |
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RO202306290004123ZK.pdf | 971KB | download |