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Characterization of Banach spaces of continuous vector valued functions with the weak Banach-Saks property - MaRDI portal

Characterization of Banach spaces of continuous vector valued functions with the weak Banach-Saks property (Q1263047)

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scientific article; zbMATH DE number 4126079
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English
Characterization of Banach spaces of continuous vector valued functions with the weak Banach-Saks property
scientific article; zbMATH DE number 4126079

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    Characterization of Banach spaces of continuous vector valued functions with the weak Banach-Saks property (English)
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    1989
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    A characterization of compact spaces K and Banach spaces E such that the space C(K,E) of all continuous vector-functions has the weak Banach-Saks property (WBSP) is given. An example of C(K) and E with the WBSP, such that C(K,E) has not the WBSP, is constructed. Some related geometrical results are presented.
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    continuous vector-functions
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    weak Banach-Saks property
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