On some new difference sequence spaces of non-absolute type

被引：71
|
作者：
Mursaleen, M. [1 ]
Noman, Abdullah K. [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 52卷 / 3-4期
关键词：
Sequence spaces; Schauder basis; alpha-beta- and gamma-duals; Matrix transformations; MATRIX TRANSFORMATIONS; INCLUDE; L(P);
D O I：
10.1016/j.mcm.2010.04.006
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In the present paper, we introduce the spaces c(0)(lambda)(Delta) and c(lambda)(Delta) of difference sequences which are the BK-spaces of non-absolute type and prove that these spaces are linearly isomorphic to the spaces c(0) and c, respectively. We also derive some inclusion relations. Furthermore, we determine the alpha-, beta- and gamma-duals of those spaces and construct their bases. Finally, we characterize some matrix classes concerning the spaces c(0)(lambda)(Delta) and c(lambda)(Delta). (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：603 / 617
页数：15
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