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

Cumhuriyet Science Journal

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