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

共 50 条

[31] CHARACTERIZATION OF SOME CLASSES OF COMPACT AND MATRIX OPERATORS ON THE SEQUENCE SPACES OF CESARO MEANS
Gulec, G. Canan Hazar
OPERATORS AND MATRICES, 2019, 13 (03): : 809 - 822
[32] Weakly compact operators into sequence spaces: A counterexample
Ylinen, K
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (05) : 1423 - 1425
[33] Compact operators on the new Motzkin sequence spaces
Erdem, Sezer
AIMS MATHEMATICS, 2024, 9 (09): : 24193 - 24212
[34] Compact operators on the Jordan totient sequence spaces
Ilkhan, Merve
Kara, Evren Emrah
Usta, Fuat
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (09) : 7666 - 7675
[35] Hausdorff measure of noncompactness of matrix operators on some new difference sequence spaces
Elahe Abyar
Mohammad Bagher Ghaemi
Journal of Inequalities and Applications, 2016
[36] Hausdorff measure of noncompactness of matrix operators on some new difference sequence spaces
Abyar, Elahe
Ghaemi, Mohammad Bagher
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
[37] Measure of noncompactness of matrix operators on some difference sequence spaces of weighted means
Mursaleen, M.
Karakaya, V.
Polat, H.
Simsek, N.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (02) : 814 - 820
[38] Compact Operators on Cesaro sequence spaces and norms of Cesaro operators
Kara, Merve Ilkhan
Roopaei, Hadi
FILOMAT, 2023, 37 (05) : 1673 - 1686
[39] A Different Study on the Spaces of Generalized Fibonacci Difference bs and cs Spaces Sequence
Yasar, Fevzi
Kayaduman, Kuddusi
SYMMETRY-BASEL, 2018, 10 (07):
[40] Compact operators on spaces of binomial fractional difference sequences
Choudhary, Anu
Raj, Kuldip
Mursaleen, M.
MATHEMATICAL SCIENCES, 2022, 16 (01) : 79 - 85

← 1 2 3 4 5 →