Measure of noncompactness of operators and matrices on the spaces c and c 0

Bruno De Malafosse, Eberhard Malkowsky and Vladimir Rakocevic

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-5

Abstract:

In this note, using the Hausdorff measure of noncompactness, necessary and sufficient conditions are formulated for a linear operator and matrices between the spaces c and c 0 to be compact. Among other things, some results of Cohen and Dunford are recovered.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:046930

DOI: 10.1155/IJMMS/2006/46930

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