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

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

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摘要 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. 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.

作者 Katarina PETKOVI

机构地区 Faculty of Civil Engineering and Architecture

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第8期1339-1347,共9页 数学学报（英文版）

关键词 BK spaces bounded and compact linear operators Hausdorff measure of noncompactness BK spaces,bounded and compact linear operators,Hausdorff measure of noncompactness

分类号 O177 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2015年第8期

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

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