On Some New Paranormed Sequence Spaces
Yazarlar (2)
Prof. Dr. Serkan DEMİRİZ Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Celal Çakan
İnönü Üniversitesi, Türkiye
İnönü Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (Diğer hakemli uluslarası dergilerde yayınlanan tam makale) | ||
| Dergi Adı | General Mathematics Notes | ||
| Dergi ISSN | 2219-7184 | ||
| Dergi Tarandığı Indeksler | EBSCO, Google Scholar , AMS Digital Mathematics Registry | ||
| Makale Dili | İngilizce | Basım Tarihi | 02-2010 |
| Cilt / Sayı / Sayfa | 1 / 2 / 26–42 | DOI | – |
| Makale Linki | http://geman.in/yahoo_site_admin/assets/docs/4_C_Cakan.31223452.pdf | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| The sequence spaces cλ 0, cλ and lλ∞ have been recently introduced and studied by Mursaleen and Noman [On the spaces of λ− convergent and bounded sequences, Thai J. Math. 8 (2)(2010), 311-329]. The main purpose of the present paper is to extend the results of Mursaleen and Noman to the paranormed case and is to work the spaces cλ0 (u, p), cλ (u, p) and lλ∞(u, p). Let µ denote any of the spaces c0, c and l∞. We prove that µλ (u, p) is linearly paranorm isomorphic to µ (p) and determine the α−, β− and γ− duals of the µλ (u, p). Furthermore, the basis of cλ0 (u, p) and cλ (u, p) are constructed. Finally, we characterize the matrix transformations from the spaces cλ0 (u, p), cλ (u, p) and lλ∞(u, p) to the spaces c0 (q), c (q), l (q) and l∞(q). |
| Anahtar Kelimeler |
