Subdifferentiability of typical continuous functions (Q2746990)

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scientific article; zbMATH DE number 1657011
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Subdifferentiability of typical continuous functions
scientific article; zbMATH DE number 1657011

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    4 November 2003
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    subdifferentials
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    Baire category
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    continuous functions
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    nowhere monotone functions
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    Subdifferentiability of typical continuous functions (English)
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    The authors prove a ``typical'' subdifferentiability principle and apply it to a variety of complete metric spaces of continuous functions on separable Banach spaces. The relationship between continuous functions with maximal subdifferentials and nowhere monotone functions is discussed.
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