Some New Results Related to Compact Matrix Operators in the Class（（lp）T,l∞）

The main goal of this paper is to establish necessary and sufficient conditions for a matrix A ∈（（lp）T,l∞）, where T is an arbitrary triangle, 1 ≤ p ≤∞, to be a compact operator. In the past,only sufficient conditions were established in almost all of those cases, by using the Hausdorff measure of no...

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Bibliographic Details
Published in数学学报：英文版 no. 8; pp. 1339 - 1347
Main Author Katarina PETKOVI
Format Journal Article
LanguageEnglish
Published 2015
Subjects
BK空间
Hausdorff测度
充分必要条件
充分条件
矩阵
紧算子
紧线性算子
课堂
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ISSN1439-8516
1439-7617

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Summary:The main goal of this paper is to establish necessary and sufficient conditions for a matrix A ∈（（lp）T,l∞）, where T is an arbitrary triangle, 1 ≤ p ≤∞, to be a compact operator. In the past,only sufficient conditions were established in almost all of those cases, by using the Hausdorff measure of noncompactness. We improve those results by applying another method for the characterizations of compact linear operators between BK spaces.
Bibliography:The main goal of this paper is to establish necessary and sufficient conditions for a matrix A ∈（（lp）T,l∞）, where T is an arbitrary triangle, 1 ≤ p ≤∞, to be a compact operator. In the past,only sufficient conditions were established in almost all of those cases, by using the Hausdorff measure of noncompactness. We improve those results by applying another method for the characterizations of compact linear operators between BK spaces.
11-2039/O1
BK spaces,bounded and compact linear operators,Hausdorff measure of noncompactness
ISSN:1439-8516
1439-7617