I-convergent sequence spaces associated with multiplier sequences

被引：0
|
作者：
Tripathy, Binod Chandra [1 ]
Hazarika, Bipan [2 ]
机构：
[1] Inst Adv Study Sci & Technol, Math Sci Div, Gauhati 781035, Assam, India
[2] Rajiv Gandhi Univ, Dept Math, Itanagar 791112, Arunachal Prade, India
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2008年 / 11卷 / 03期
关键词：
multiplier sequence spaces; Ideal; filter; I-convergent; I-Cauchy; solid space; symmetric space; sequence algebra; convergence free;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we introduce the sequence spaces c(I)(Lambda). c(0)(I)(Lambda), m(I)(Lambda) and m(0)(I)(Lambda) associated with the multiplier sequence Lambda = (lambda(k)) of non-zero scalars. We study the different algebraic and topological properties of these sequence spaces like solidness. symmetricity, sequence algebra, convergence free etc. Also we characterize the multiplier problem and obtain some inclusion relation involving these sequence spaces.
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页码：543 / 548
页数：6
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