Zajíček, L. A note on singular points of convex functions in Banach spaces. (English) Zbl 0811.46037 Acta Univ. Carol., Math. Phys. 34, No. 2, 179-185 (1993). 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 Keywords:magnitude of sets; subdifferential of a continuous convex function PDF BibTeX XML Cite \textit{L. Zajíček}, Acta Univ. Carol., Math. Phys. 34, No. 2, 179--185 (1993; Zbl 0811.46037) Full Text: EuDML OpenURL