Measure of noncompactness of operators and matrices on the spaces c and c0

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 c0 to be compact. Among other things, some results of Cohen and Dunford are recovered.

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Bibliographic Details
Main Authors: Bruno De Malafosse, Eberhard Malkowsky, Vladimir Rakocevic
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/46930
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