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A note on singular points of convex functions in Banach spaces. (English) Zbl 0811.46037

Summary: The magnitude of sets \(A^ n(f)\) of points at which the subdifferential of a continuous convex function \(f\) defined on a Banach space with separable dual space contains a ball of finite codimension \(n\) is characterized.

MSC:

46G05 Derivatives of functions in infinite-dimensional spaces
49J52 Nonsmooth analysis
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