ON SOME DIFFERENCE SEQUENCE SPACES OF WEIGHTED MEANS AND COMPACT OPERATORS

被引：1

作者：

Basarir, Metin ^{[1
]}

Kara, Emrah Evren ^{[2
]}

机构：

[1] Sakarya Univ, Dept Math, TR-54187 Sakarya, Turkey

[2] Bilecik Univ, Dept Math, Bilecik, Turkey

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2011年 / 2卷 / 02期

关键词：

BK spaces; Weighted mean; matrix mappings; compact operators; Hausdorff measure of noncompactness; MATRIX TRANSFORMATIONS; NONCOMPACTNESS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the peresent paper, by using generalized weighted mean and difference matrix of order m, we introduce the sequence spaces X(u, v, Delta((m))), where X is one of the spaces l(infinity), c or c(0). Also, we determine the alpha-, beta- and gamma-duals of those spaces and construct their Schauder bases for X is an element of {c, c(0)}. Morever, we give the characterization of the matrix mappings on the spaces X(u, v, Delta(m)) for X is an element of {l(infinity), c, c(0)}. Finally, we characterize some classes of compact operators on the spaces l(1) (u, v, Delta(m)) and c(0)(u, v, Delta(m)) by using the Hausdorff measure of noncompactness.

引用

页码：114 / 129

页数：16

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