Measure of noncompactness of operators and matrices on the spaces \(c\) and \(c_{0}\) (Q2468966)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Measure of noncompactness of operators and matrices on the spaces \(c\) and \(c_{0}\) |
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Measure of noncompactness of operators and matrices on the spaces \(c\) and \(c_{0}\) (English)
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1 February 2008
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The authors, using the Hausdorff measure of noncompactness, give necessary and sufficient conditions for a linear operator, or a matrix, between the spaces \(c\) and \(c_0\) to be compact. Some results of \textit{L.\,W.\thinspace Cohen} and \textit{N.\,Dunford} [Duke Math. J. 3, No.4, 689-701 (1937; Zbl 0018.07101; JFM 63.0352.01)] are recovered.
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compact operators
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Hausdorff measure of noncompactness
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