COMPACTNESS OF MATRIX OPERATORS ON SOME SEQUENCE SPACES DERIVED BY FIBONACCI NUMBERS

被引：16

作者：

Kara, E. E. ^{[1
]}

Basarir, M. ^{[2
]}

Mursaleen, M. ^{[3
]}

机构：

[1] Duzce Univ, Dept Math, Duzce, Turkey

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

[3] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2015年 / 39卷 / 02期

关键词：

Sequence spaces; Fibonacci numbers; compact operators; Hausdorff measure of noncompactness;

D O I：

10.5937/KgJMath1502217K

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we apply the Hausdorff measure of noncompactness to obtain the necessary and sufficient conditions for certain matrix operators on the Fibonacci difference sequence spaces l(p)((F) over cap) and l(infinity)((F) over cap) to be compact, where 1 <= p < infinity.

引用

页码：217 / 230

页数：14

共 39 条

[1]

Ahmad Z. U., 1987, PUBL I MATH BEOGRAD, V42, P57

[2]

Altay B., 2007, COMMUN MATH ANAL, V2, P1

[3] Some generalizations of the space bυp of p-bounded variation sequences [J].