On the spectrum of the upper triangular double band matrix U ( a 0 , a 1 , a 2 ; b 0 , b 1 , b 2 ) over the sequence space c
| dc.contributor.author | Durna, Nuh | |
| dc.contributor.department | Other | tr_TR |
| dc.contributor.faculty | Other | tr_TR |
| dc.date.accessioned | 2022-12-27T11:21:14Z | |
| dc.date.available | 2022-12-27T11:21:14Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | The upper triangular double band matrix U ( a 0 , a 1 , a 2 ; b 0 , b 1 , b 2 ) is defined on a Banach sequence space by U ( a 0 , a 1 , a 2 ; b 0 , b 1 , b 2 ) ( x n ) = ( a n x n + b n x n + 1 ) ∞ n = 0 where a x = a y , b x = b y for x ≡ y ( m o d 3 ) . The class of the operator U ( a 0 , a 1 , a 2 ; b 0 , b 1 , b 2 ) includes, in particular, the operator U ( r , s ) when a k = r and b k = s for all k ∈ N , with r , s ∈ R and s ≠ 0 . Also, it includes the upper difference operator; a k = 1 and b k = − 1 for all k ∈ N . In this paper, we completely determine the spectrum, the fine spectrum, the approximate point spectrum, the defect spectrum, and the compression spectrum of the operator U ( a 0 , a 1 , a 2 ; b 0 , b 1 , b 2 ) over the sequence space c . | tr_TR |
| dc.description.index | Trdizin | tr_TR |
| dc.identifier.endpage | 565 | tr_TR |
| dc.identifier.issn/e-issn | 1303-5991 | |
| dc.identifier.issue | 2 | tr_TR |
| dc.identifier.startpage | 554 | tr_TR |
| dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.977593 | tr_TR |
| dc.identifier.uri | http://hdl.handle.net/20.500.12575/86499 | |
| dc.identifier.volume | 71 | tr_TR |
| dc.language.iso | en | tr_TR |
| dc.publisher | Ankara Üniversitesi | tr_TR |
| dc.relation.isversionof | 10.31801/cfsuasmas.977593 | tr_TR |
| dc.relation.journal | Communications, Series A1:Mathematics and Statistics | tr_TR |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | tr_TR |
| dc.subject | Upper triangular band matrix, spectrum, fine spectrum, approximate point spectrum | tr_TR |
| dc.title | On the spectrum of the upper triangular double band matrix U ( a 0 , a 1 , a 2 ; b 0 , b 1 , b 2 ) over the sequence space c | tr_TR |
| dc.type | Article | tr_TR |
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