TY  - JOUR
TI  - Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs
AB  - 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.
AU  - Durna, Nuh
AU  - ÖZDEMİR, ÖMER
DO  - 10.17776/csj.1209529
PY  - 2023
JO  - Cumhuriyet Science Journal
VL  - 44
IS  - 1
SN  - 2587-2680
SP  - 181
EP  - 187
DB  - TRDizin
UR  - http://search/yayin/detay/1162897
ER  -