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On \(P\)- and \(p\)-convexity of Banach spaces - MaRDI portal

On \(P\)- and \(p\)-convexity of Banach spaces (Q1957552)

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scientific article; zbMATH DE number 5791600
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On \(P\)- and \(p\)-convexity of Banach spaces
scientific article; zbMATH DE number 5791600

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    On \(P\)- and \(p\)-convexity of Banach spaces (English)
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    27 September 2010
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    Summary: We show that every \(U\)-space and every Banach space \(X\) satisfying \(\delta _{X}(1)>0\) are \(P(3)\)-convex, and we study the nonuniform version of \(P\)-convexity, which we call \(p\)-convexity.
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