Matrix Transformation and Compactness on q-Catalan Sequence Spaces
| dc.authorid | Yaying, Taja/0000-0003-3435-8417 | |
| dc.contributor.author | Yaying, Taja | |
| dc.contributor.author | Basar, Feyzi | |
| dc.date.accessioned | 2024-08-04T20:55:59Z | |
| dc.date.available | 2024-08-04T20:55:59Z | |
| dc.date.issued | 2024 | |
| dc.department | İnönü Üniversitesi | en_US |
| dc.description.abstract | This article intends to develop q-Catalan sequence spaces l(p)(C(q)) and l(infinity)(C(q)) due to q-Catalan matrix C(q) in lp and l infinity, respectively. Apart from obtaining some basic topological properties and Schauder basis, we compute alpha-, beta-, and gamma-duals of the spaces l(p)(C(q)) and l(infinity)(C(q)). We state and prove a theorem that characterize certain matrix classes (X, Y), where X is either of the space l(p)(C(q)) or l(infinity)(C(q)) and Y is an element of{l(infinity),c(0),c,l(1)}. The final section is devoted to determination of certain conditions by which a matrix operator becomes compact. | en_US |
| dc.identifier.doi | 10.1080/01630563.2024.2349003 | |
| dc.identifier.endpage | 393 | en_US |
| dc.identifier.issn | 0163-0563 | |
| dc.identifier.issn | 1532-2467 | |
| dc.identifier.issue | 4-6 | en_US |
| dc.identifier.scopus | 2-s2.0-85192526655 | en_US |
| dc.identifier.scopusquality | Q2 | en_US |
| dc.identifier.startpage | 373 | en_US |
| dc.identifier.uri | https://doi.org/10.1080/01630563.2024.2349003 | |
| dc.identifier.uri | https://hdl.handle.net/11616/101980 | |
| dc.identifier.volume | 45 | en_US |
| dc.identifier.wos | WOS:001217119900001 | en_US |
| dc.identifier.wosquality | N/A | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis Inc | en_US |
| dc.relation.ispartof | Numerical Functional Analysis and Optimization | 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 | Compact | en_US |
| dc.subject | duals | en_US |
| dc.subject | matrix transformation | en_US |
| dc.subject | operator | en_US |
| dc.subject | q-Catalan matrix | en_US |
| dc.subject | sequence space | en_US |
| dc.title | Matrix Transformation and Compactness on q-Catalan Sequence Spaces | en_US |
| dc.type | Article | en_US |
