On weak Hadamard differentiability of convex functions on Banach spaces
On weak Hadamard differentiability of convex functions on Banach spaces
We study two variants of weak Hadamard differentiability of continuous convex functions on a Banach space, uniform weak Hadamard differentiability and weak Hadamard directional differentiability, and determine their special properties on Banach spaces which do not contain a subspace topologically isomorphic to l 1 .