Turkish Journal of Mathematics and Computer Science

Yazarlar: Hacer BİLGİN ELLİDOKUZOĞLU, Serkan DEMİRİZ

Konular:-

Anahtar Kelimeler:Lucas sequence spaces,Matrix domain

Özet: Karakaş and Karabudak [14], introduced the Lucas  sequence spaces $X(E)$  and studied  their some properties. The main purpose of this study is to  introduce the Lucas difference sequence spaces $c_0(\hat{L},\Delta)$ and $c(\hat{L},\Delta)$  by using the Lucas sequence sequences. Also, the spaces $c_0(\hat{L},\Delta)$ and $c(\hat{L},\Delta)$, are linearly  isomorphic to spaces $c_0$ and $c$, respectively, have been proved. Besides this, the $\alpha-,\beta-$ and  $\gamma-$duals of this spaces have been computed, their  bases have been constructed and some topological properties of these  spaces have been studied. Finally, the classes of matrices  $(c_0(\hat{L},\Delta) : \mu)$ and $(c(\hat{L},\Delta) : \mu)$ have been characterized, where $\mu$ is one of

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