Some Algebraic and Topological Properties of New Lucas Difference Sequence Spaces
Yazarlar (2)
Recep Tayyip Erdoğan Üniversitesi, Türkiye
Prof. Dr. Serkan DEMİRİZ
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
|
| Makale Alt Türü | Diğer hakemli uluslarası dergilerde yayınlanan tam makale |
| Dergi Adı | Turkish Journal of Mathematics and Computer Science |
| Dergi ISSN | 2148-1830 Scopus Dergi |
| Dergi Tarandığı Indeksler | Google Scholar |
| Makale Dili | İngilizce |
| Basım Tarihi | 12-2018 |
| Cilt No | 10 |
| Sayı | 10 |
| Sayfalar | 144 / 152 |
| Özet |
| Karakas¸ and Karabudak [22], introduced the Lucas sequence spaces X(E) and studied their someproperties. The main purpose of this study is to introduce the Lucas difference sequence spaces c0(Lˆ, ∆) and c(Lˆ, ∆)by using the Lucas sequence. Also, we prove that the spaces c0(Lˆ, ∆) and c(Lˆ, ∆), are linearly isomorphic to spacesc0 and c, respectively. Besides this, the α−, β− and γ−duals of this spaces have been computed, their bases havebeen constructed and some topological properties of these spaces have been studied. Finally, the classes of matrices(c0(Lˆ, ∆) : µ) and (c(Lˆ, ∆) : µ) have been characterized, where µ is one of the sequence spaces `∞, c and c0 andderives the other characterizations for the special cases of µ. |
| Anahtar Kelimeler |
