A New Aspect for Some Sequence Spaces Derived Using the Domain of the Matrix $widehat{widehat{B}}$
| dc.contributor.author | Candan, Murat | |
| dc.date.accessioned | 2024-08-04T19:51:25Z | |
| dc.date.available | 2024-08-04T19:51:25Z | |
| dc.date.issued | 2022 | |
| dc.department | İnönü Üniversitesi | en_US |
| dc.description.abstract | This study serves for analysing algebraic and topological characteristics of the sequence spaces $X(widehat{widehat{B}}(r,s))$ constituted by using non-zero real number $r$ and $s$, where $X$ denotes arbitrary of the classical sequence spaces $ell_{infty}, c, c_{0} $ and $ell_{p}$ $(1<p<infty)$ of bounded, convergent, null and absolutely $p$-summable sequences, respectively and $X(widehat{widehat{B}})$ also is the domain of the matrix $widehat{widehat{B}}(r,s)$ in the sequence space $X$. Briefly, the $beta$- and $gamma$-duals of the space $X(widehat{widehat{B}})$ are computed, and Schauder bases for the spaces $c(widehat{widehat{B}})$, $c_{0}(widehat{widehat{B}})$ and $ell_{p}(widehat{widehat{B}})$ are determined, and some algebraic and topological properties of the spaces $c_{0}(widehat{widehat{B}})$, $ell_{1}(widehat{widehat{B}})$ and $ell_{p}(widehat{widehat{B}})$ are studied. Additionally, it is observed that all these spaces have some remarkable features, including the classes $(X_{1}(widehat{widehat{B}})$: $X_{2})$ and $(X_{1}(widehat{widehat{B}}): X_{2}(widehat{widehat{B}}))$ of infinite matrices which are characterized, in which $X_{1}in{ ell_{infty},c,c_{0},ell_{p},ell_{1}}$ and $X_{2}in{ell_{infty},c,c_{0},ell_{1}}$. | en_US |
| dc.identifier.doi | 10.33401/fujma.1003752 | |
| dc.identifier.endpage | 62 | en_US |
| dc.identifier.issn | 2645-8845 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.startpage | 51 | en_US |
| dc.identifier.trdizinid | 507923 | en_US |
| dc.identifier.uri | https://doi.org/10.33401/fujma.1003752 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/yayin/detay/507923 | |
| dc.identifier.uri | https://hdl.handle.net/11616/88972 | |
| dc.identifier.volume | 5 | en_US |
| dc.indekslendigikaynak | TR-Dizin | en_US |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | Fundamental journal of mathematics and applications (Online) | en_US |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | A New Aspect for Some Sequence Spaces Derived Using the Domain of the Matrix $widehat{widehat{B}}$ | en_US |
| dc.type | Article | en_US |
