Domain of the double sequential band matrix in the spaces of convergent and null sequences
| dc.authorwosid | candan, murat MC/I-3872-2018 | |
| dc.contributor.author | Candan, Murat | |
| dc.date.accessioned | 2024-08-04T20:39:48Z | |
| dc.date.available | 2024-08-04T20:39:48Z | |
| dc.date.issued | 2014 | |
| dc.department | İnönü Üniversitesi | en_US |
| dc.description.abstract | What stands out in this article is the sequence spaces of a new brand c(0)(lambda)((B) over tilde) and c(lambda)((B) over tilde), derived by using a double sequential band matrix B(T-,'s-) which generalizes the previous work of Sonmez and Baar (Abstr. Appl. Anal. 2012:435076,2012), where (r(n))(n=0)(infinity) and (s(n))(n=0)(infinity) are given convergent sequences of positive real numbers. The aforementioned spaces are in fact the BK-spaces of non-absolute type. Moreover, they are norm isomorphic to the spaces co and c, respectively. Then, some inclusion relations are derived to determine the alpha-, beta- and gamma-duals of these spaces. Next, their Schauder bases are constructed. In conclusion, some matrix classes from the spaces c(0)(lambda)((B) over tilde) and c(lambda)((B) over tilde) to the spaces l(p), C-o and c are characterized. When compared with the corresponding results in the literature, it is seen that the results of the present study are more general and more inclusive. | en_US |
| dc.identifier.doi | 10.1186/1687-1847-2014-163 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-84904294468 | en_US |
| dc.identifier.scopusquality | N/A | en_US |
| dc.identifier.uri | https://doi.org/10.1186/1687-1847-2014-163 | |
| dc.identifier.uri | https://hdl.handle.net/11616/96505 | |
| dc.identifier.wos | WOS:000342153500001 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | sequence spaces | en_US |
| dc.subject | Schauder basis | en_US |
| dc.subject | alpha-, beta- and gamma-duals | en_US |
| dc.subject | matrix transformations | en_US |
| dc.title | Domain of the double sequential band matrix in the spaces of convergent and null sequences | en_US |
| dc.type | Article | en_US |
