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Generic Gâteaux-differentiability of convex functions on small sets - MaRDI portal

Generic Gâteaux-differentiability of convex functions on small sets (Q752414)

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scientific article; zbMATH DE number 4177887
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Generic Gâteaux-differentiability of convex functions on small sets
scientific article; zbMATH DE number 4177887

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    Generic Gâteaux-differentiability of convex functions on small sets (English)
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    1990
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    Sufficient conditions are given which insure that a convex functional which is defined on a convex set which contains no interior points but is contained in no hyperplane of a normed space be Gateaux differentiable on a dense \(G_{\delta}\) subset of its domain.
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    convex functional
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    hyperplane
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    Gateaux differentiable
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