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.
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页数：8
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