On Fréchet differentiability of convex functions on Banach spaces
نویسنده
چکیده
Equivalent conditions for the separability of the range of the subdifferential of a given convex Lipschitz function f defined on a separable Banach space are studied. The conditions are in terms of a majorization of f by a C-smooth function, separability of the boundary for f or an approximation of f by Fréchet smooth convex functions.
منابع مشابه
Second Order Differentiability of Convex Functions in Banach Spaces
We present a second order differentiability theory for convex functions on Banach spaces.
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