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

页码：603 / 617

页数：15

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