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
收藏
页码：217 / 230
页数：14
相关论文
共 50 条
[41]   SOME GEOMETRIC PROPERTIES OF DIFFERENCE SEQUENCE SPACES OF ORDER m DERIVED BY GENERALIZED MEANS AND COMPACT OPERATORS [J].
Maji, Amit ;
Srivastava, P. D. .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (03) :1055-1078
[42]   On some new sequence spaces of fuzzy numbers [J].
Mursaleen ;
Basarir, M .
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (09) :1351-1357
[43]   ON SOME DIFFERENCE SEQUENCE SPACES OF WEIGHTED MEANS AND COMPACT OPERATORS [J].
Basarir, Metin ;
Kara, Emrah Evren .
ANNALS OF FUNCTIONAL ANALYSIS, 2011, 2 (02) :114-129
[44]   On Composition Operators of Fibonacci Matrix and Applications of Hausdorff Measure of Noncompactness [J].
Das, Anupam ;
Hazarika, Bipan ;
Kara, Emrah Evren ;
Basar, Feyzi .
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
[45]   Some topological and geometric properties of a new BK-space derived by using regular matrix of Fibonacci numbers [J].
Ercan, Sinan ;
Bektas, Cigdem A. .
LINEAR & MULTILINEAR ALGEBRA, 2017, 65 (05) :909-921
[46]   Compact operators on the new Motzkin sequence spaces [J].
Erdem, Sezer .
AIMS MATHEMATICS, 2024, 9 (09) :24193-24212
[47]   On fully rotundity properties and approximative compactness in some Banach sequence spaces [J].
Cui, YN ;
Hudzik, H ;
Kowalewski, W .
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (01) :17-30
[48]   On compact operators and some Euler B(m)-difference sequence spaces [J].
Kara, Emrah Evren ;
Basarir, Metin .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 379 (02) :499-511
[49]   Series spaces derived from absolute Fibonacci summability and matrix transformations [J].
Fadime Gökçe ;
Mehmet Ali Sarigöl .
Bollettino dell'Unione Matematica Italiana, 2020, 13 :29-38
[50]   Cesaro sequence spaces via (p, q)-calculus and compact matrix operators [J].
Yaying, Taja ;
Hazarika, Bipan ;
Mursaleen, Mohammad .
JOURNAL OF ANALYSIS, 2022, 30 (04) :1535-1553
12345