Applications of Measure of Noncompactness in Matrix Operators on Some Sequence Spaces

被引：4

作者：

Mursaleen, M. ^{[1
,2
]}

Latif, A. ^{[3
]}

机构：

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

[2] Tabuk Univ, Dept Math, Tabuk, Saudi Arabia

[3] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

COMPACT-OPERATORS; HAUSDORFF MEASURE; M(PHI);

D O I：

10.1155/2012/378250

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine the conditions for some matrix transformations from n(phi), where the sequence space n(phi), which is related to the l(p) spaces, was introduced by Sargent (1960). We also obtain estimates for the norms of the bounded linear operators 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：10

共 50 条

[31] RETRACTION: The Hausdorff measure of noncompactness for some matrix operators (Retraction of Vol 92, Pg 119, 2013)
Mohiuddine, S. A.
Mursaleen, M.
Alotaibi, A.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 179 : 385 - 385
[32] SOME OPERATORS ACTING ON WEIGHTED SEQUENCE BESOV SPACES AND APPLICATIONS
Huang, Po-Kai
Wang, Kunchuan
TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (04): : 1507 - 1530
[33] COMPACTNESS OF MATRIX OPERATORS ON SOME SEQUENCE SPACES DERIVED BY FIBONACCI NUMBERS
Kara, E. E.
Basarir, M.
Mursaleen, M.
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2015, 39 (02): : 217 - 230
[34] Compact Matrix Operators Between Some Cesaro Weighted Sequence Spaces
Djolovic, Ivana
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (04) : 1667 - 1677
[35] INTERPOLATION OF THE MEASURE OF NONCOMPACTNESS OF BILINEAR OPERATORS
Mastylo, Mieczyslaw
Silva, Eduardo B.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 370 (12) : 8979 - 8997
[36] The Hausdorff measure of noncompactness of operators on the matrix domains of triangles in the spaces of strongly C1 summable and bounded sequences
Djolovic, Ivana
Malkowsky, Eberhard
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (04) : 1122 - 1130
[37] The Hausdorff measure of noncompactness for some matrix operators (Retraction of vol 92C, pg 119, 2013)
Mohiuddine, S. A.
Mursaleen, M.
Alotaibi, A.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 117 : 221 - 221
[38] On measure of noncompactness in variable exponent Lebesgue spaces and applications to integral equations
Mohamed M. A. Metwali
Journal of Inequalities and Applications, 2023
[39] On measure of noncompactness in variable exponent Lebesgue spaces and applications to integral equations
Metwali, Mohamed M. A.
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
[40] ESSENTIAL SPECTRA OF SOME MATRIX OPERATORS BY MEANS OF MEASURES OF WEAK NONCOMPACTNESS
Abdelmoumen, Boulbeba
OPERATORS AND MATRICES, 2014, 8 (01): : 205 - 216

← 1 2 3 4 5 →