Compact operators on some Fibonacci difference sequence spaces

被引：29

作者：

Alotaibi, Abdullah ^{[1
]}

Mursaleen, Mohammad ^{[1
,2
]}

Alamri, Badriah A. S. ^{[1
]}

Mohiuddine, Syed Abdul ^{[1
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Fac Sci, Operator Theory & Applicat Res Grp, Jeddah 21589, Saudi Arabia

[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

sequence spaces; Fibonacci numbers; compact operators; Hausdorff measure of noncompactness; MATRIX OPERATORS; NONCOMPACTNESS;

D O I：

10.1186/s13660-015-0713-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we characterize the matrix classes (l(1), l(p)((F) over cap)) (1 <= p <= infinity), where l(p)((F) over cap) is some Fibonacci difference sequence spaces. We also obtain estimates for the norms of the bounded linear operators L-Lambda defined by these matrix transformations and find conditions to obtain the corresponding subclasses of compact matrix operators by using the Hausdorff measure of noncompactness.

引用

页数：8

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