The Cesaro-Gamma operator and its associated sequence space
| dc.authorid | Ilkhan, Merve/0000-0002-0831-1474 | |
| dc.contributor.author | Kara, Merve Ilkhan | |
| dc.contributor.author | Roopaei, Hadi | |
| dc.date.accessioned | 2021-12-01T18:47:47Z | |
| dc.date.available | 2021-12-01T18:47:47Z | |
| dc.date.issued | 2021 | |
| dc.department | [Belirlenecek] | en_US |
| dc.description.abstract | In this paper, we introduce Cesaro-Gamma matrix that exhibits the structure of both the Cesaro and Gamma matrices. We study the domain of this new matrix in the space l(p) (1 <= p <= infinity). By this new matrix, we obtain a factorization for the infinite Hilbert matrix, based on the Cesaro matrix of order lambda, of the form H = (BC lambda)-C-lambda. As a second application of this operator, we obtain a factorization for the Cesaro matrix of order lambda of the form C lambda+(lambda) over tilde = (R lambda,(lambda) over tilde +1C(lambda) over tilde), which results in a factorization for the Cesaro matrices of the form C-lambda = (SC(lambda) over tilde)-C-lambda,(lambda) over tilde. | en_US |
| dc.identifier.doi | 10.1007/s43036-021-00141-6 | |
| dc.identifier.issn | 2662-2009 | |
| dc.identifier.issn | 2538-225X | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s43036-021-00141-6 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/10373 | |
| dc.identifier.volume | 6 | en_US |
| dc.identifier.wos | WOS:000644872300001 | en_US |
| dc.identifier.wosquality | N/A | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Basel Ag | en_US |
| dc.relation.ispartof | Advances In Operator Theory | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Matrix operator | en_US |
| dc.subject | Cesaro matrix | en_US |
| dc.subject | Gamma matrix | en_US |
| dc.subject | Hilbert matrix | en_US |
| dc.subject | Inequality | en_US |
| dc.subject | Matrix | en_US |
| dc.subject | L(P) | en_US |
| dc.subject | Include | en_US |
| dc.subject | Domain | en_US |
| dc.title | The Cesaro-Gamma operator and its associated sequence space | en_US |
| dc.type | Article | en_US |
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