Domain of the double sequential band matrix in the spaces of convergent and null sequences
Küçük Resim Yok
Tarih
2014
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
What stands out in this article is the sequence spaces of a new brand c(0)(lambda)((B) over tilde) and c(lambda)((B) over tilde), derived by using a double sequential band matrix B(T-,'s-) which generalizes the previous work of Sonmez and Baar (Abstr. Appl. Anal. 2012:435076,2012), where (r(n))(n=0)(infinity) and (s(n))(n=0)(infinity) are given convergent sequences of positive real numbers. The aforementioned spaces are in fact the BK-spaces of non-absolute type. Moreover, they are norm isomorphic to the spaces co and c, respectively. Then, some inclusion relations are derived to determine the alpha-, beta- and gamma-duals of these spaces. Next, their Schauder bases are constructed. In conclusion, some matrix classes from the spaces c(0)(lambda)((B) over tilde) and c(lambda)((B) over tilde) to the spaces l(p), C-o and c are characterized. When compared with the corresponding results in the literature, it is seen that the results of the present study are more general and more inclusive.
Açıklama
Anahtar Kelimeler
sequence spaces, Schauder basis, alpha-, beta- and gamma-duals, matrix transformations
Kaynak
Advances in Difference Equations
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
