Some Topological and Geometrical Properties of a New Difference Sequence Space      
Yazarlar (2)
Prof. Dr. Serkan DEMİRİZ Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Celal Çakan
İnönü Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale
Dergi Adı Abstract and Applied Analysis
Dergi ISSN 1085-3375 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q4
Makale Dili İngilizce
Basım Tarihi 01-2011
Cilt No 2011
Sayı 1
DOI Numarası 10.1155/2011/213878
Makale Linki http://www.hindawi.com/journals/aaa/2011/213878/
Özet
We introduce the new difference sequence space apr (Δ). Further, it is proved that the space apr (Δ) is the BK-space including the space b vp, which is the space of sequences of pbounded variation. We also show that the spaces a pr (Δ), and ℓp are linearly isomorphic for 1 ≤ p < ∞. Furthermore, the basis and the α-, β- and γ-duals of the space apr (Δ) are determined. We devote the final section of the paper to examine some geometric properties of the space apr (Δ). Copyright © 2011 Serkan Demiriz and Celal Çakan.
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