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

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