SOME GEOMETRIC PROPERTIES OF DIFFERENCE SEQUENCE SPACES OF ORDER m DERIVED BY GENERALIZED MEANS AND COMPACT OPERATORS

被引：0
|
作者：
Maji, Amit [1 ]
Srivastava, P. D. [1 ]
机构：
[1] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2015年 / 18卷 / 03期
关键词：
Difference operator; generalized means; matrix transformation; Hausdorff measure of noncompactness; compact operators; MATRIX TRANSFORMATIONS;
D O I：
10.7153/mia-18-82
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We have introduced a new sequence space l( r,s,t,p;Delta((m))) combining by using generalized means and difference operator of order m. Some topological properties as well as geometric properties namely Banach-Saks property of type p and uniform Opial property have been studied. Furthermore, the alpha-, beta-, gamma- duals of this space are computed and also obtained necessary and sufficient conditions for some matrix transformations from l(r,s,t,p;Delta((m))) to l(infinity), l(1). Finally, we obtained some identities or estimates for operator norms and measure of noncompactness of some matrix operators on the BK space l(p)(r,s,t;Delta((m))) by applying the Hausdorff measure of noncompactness.
引用
收藏
页码：1055 / 1078
页数：24
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