Four-dimensional generalized difference matrix and some double sequence spaces

被引：7
|
作者：
Tug, Orhan [1 ]
Basar, Feyzi [2 ]
机构：
[1] Ishik Univ, Dept Math Educ, Erbil, Iraq
[2] Fatih Univ, Dept Math, TR-34500 Istanbul, Turkey
来源：
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016) | 2016年 / 1759卷
关键词：
Four-dimensional generalized difference matrix; Matrix domain; Double sequence spaces; Alpha-dual; Beta-dual; Gamma-dual; Matrix transformations;
D O I：
10.1063/1.4959689
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we introduce some new double sequence spaces B(M-u), B(C-p), B(C-bp), B(C-r) and B(L-q) as the domain of four-dimensional generalized difference matrix B(r,s,t,u) in the spaces M-u, C-p, C-bp, C-r and L-q, respectively. We show that the double sequence spaces B(M-u), B(C-bp) and B(C-r) are the Banach spaces under some certain conditions. We give some inclusion relations with some topological properties.
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页数：4
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