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Kadec-Klee properties of Calderón-Lozanovskiĭ function spaces - MaRDI portal

Kadec-Klee properties of Calderón-Lozanovskiĭ function spaces (Q416313)

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scientific article; zbMATH DE number 6032355
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Kadec-Klee properties of Calderón-Lozanovskiĭ function spaces
scientific article; zbMATH DE number 6032355

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    Kadec-Klee properties of Calderón-Lozanovskiĭ function spaces (English)
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    10 May 2012
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    Summary: We study Kadec-Klee properties with respect to global (local) convergence in measure. First, we present some results concerning Köthe spaces and Orlicz functions. Next, we give full criteria for Kadec-Klee properties with respect to global (local) convergence in measure in Calderón-Lozanovskiĭ function spaces. In particular, we obtain the full characterizations of Kadec-Klee properties in Orlicz-Lorentz function spaces, which have not been presented until now.
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    Kadets-Klee properties
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    Köthe spaces
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    function spaces
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