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On some properties of the class of semi-compact operators - MaRDI portal

On some properties of the class of semi-compact operators (Q657688)

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scientific article; zbMATH DE number 5996104
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English
On some properties of the class of semi-compact operators
scientific article; zbMATH DE number 5996104

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    On some properties of the class of semi-compact operators (English)
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    10 January 2012
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    In this interesting paper, the authors characterize Banach lattices for which every positive semicompact operator is L-weakly compact and M-weakly compact. Finally, they give a necessary and sufficient condition under which the class of positive semi-compact operators coincides with that of L-weakly compact (resp., M-weakly compact) operators.
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    semi-compact operator
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    L-weakly compact operator
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    M-weakly compact operator
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    order continuous norm
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