Compact operators for almost conservative and strongly conservative matrices (Q1724399)

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scientific article; zbMATH DE number 7022621
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Compact operators for almost conservative and strongly conservative matrices
scientific article; zbMATH DE number 7022621

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    Compact operators for almost conservative and strongly conservative matrices (English)
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    14 February 2019
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    Summary: We obtain the necessary and sufficient conditions for an almost conservative matrix to define a compact operator. We also establish some necessary and sufficient (or only sufficient) conditions for operators to be compact for matrix classes \((f, X)\), where \(X = c, c_0, l_\infty\). These results are achieved by applying the Hausdorff measure of noncompactness.
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    compact operators
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    almost conservative matrices
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    strongly conservative matrices
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