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Gateaux differentiable norms in \(L_ p\) - MaRDI portal

Gateaux differentiable norms in \(L_ p\) (Q1122103)

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scientific article; zbMATH DE number 4105605
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Gateaux differentiable norms in \(L_ p\)
scientific article; zbMATH DE number 4105605

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    Gateaux differentiable norms in \(L_ p\) (English)
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    1990
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    If p is odd and if m is a finite measure, then \(L_ p(m)\) admits an equivalent p times Gateaux differentiable norm. In \(\ell_ p(A)\), p odd, A uncountable, there is no p times Gateaux differentiable equivalent norm.
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    equivalent p times Gateaux differentiable norm
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