Yet more on the differentiability of convex functions

Rainwater, John

doi:10.1090/S0002-9939-1988-0947656-7

Yet more on the differentiability of convex functions
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Proc. Amer. Math. Soc. 103 (1988), 773-778 Request permission

Abstract:

Generic differentiability theorems are obtained for convex functions which are defined and locally Lipschitzian on the convex subset $N(C)$ of nonsupport points of a closed convex subset $C$ of a Banach space $E$, which is assumed to be either an Asplund space (for Fréchet differentiability) or to be weakly compactly generated (for Gateaux differentiability).

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