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On WCG Asplund spaces and Eberlein compacta - MaRDI portal

On WCG Asplund spaces and Eberlein compacta (Q2704751)

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On WCG Asplund spaces and Eberlein compacta
scientific article

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    12 March 2001
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    LSP property
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    RN compact
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    Asplund space
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    Eberlein compacta
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    WCG
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    On WCG Asplund spaces and Eberlein compacta (English)
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    The author of the paper under consideration gives at first several topological definitions including the LSP property of Banach space. In Theorem 10 a necessary and sufficient condition is found for a Banach space to be WCG and Asplund. In Theorem 11 it is shown that a RN compact is Eberlein iff \( K \) has LSP property.
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