On the second derivatives of convex functions on Hilbert spaces
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- by Nobuyuki Kato PDF
- Proc. Amer. Math. Soc. 106 (1989), 697-705 Request permission
Abstract:
Let $\phi$ be a proper l.s.c. convex function on a real Hilbert space $H$. We show that if $H$ is separable, then $\phi$ is twice differentiable in some sense on a dense subset of the graph of $\partial \phi$.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 697-705
- MSC: Primary 47H05; Secondary 46G05, 58C20
- DOI: https://doi.org/10.1090/S0002-9939-1989-0960646-4
- MathSciNet review: 960646