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