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On compactness in \(L_p(\mu,X)\) in the weak topology and in the topology \(\sigma(L_p(\mu,X),L_q(\mu,X'))\) - MaRDI portal

On compactness in \(L_p(\mu,X)\) in the weak topology and in the topology \(\sigma(L_p(\mu,X),L_q(\mu,X'))\) (Q5966539)

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scientific article; zbMATH DE number 3772319
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On compactness in \(L_p(\mu,X)\) in the weak topology and in the topology \(\sigma(L_p(\mu,X),L_q(\mu,X'))\)
scientific article; zbMATH DE number 3772319

    Statements

    On compactness in \(L_p(\mu,X)\) in the weak topology and in the topology \(\sigma(L_p(\mu,X),L_q(\mu,X'))\) (English)
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    1983
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    space of Bochner integrable functions
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    relatively compact
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    countably compact
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    sequentially compact
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    Eberlein-Smulian theorem
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    Radon-Nikodym property
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