
arXiv: 1710.01510
We investigate the relationship between the existence of directional derivatives for cone-convex functions with values in a Banach space Y and isomorphisms between Y and c0.
Isomorphic theory (including renorming) of Banach spaces, Derivatives of functions in infinite-dimensional spaces, convex mappings, Nonsmooth analysis, cone convex mappings, isomorphism with $c_0$, cone isomorphism, Optimization and Control (math.OC), FOS: Mathematics, convex operators, directional derivative, Mathematics - Optimization and Control, Ordered normed spaces
Isomorphic theory (including renorming) of Banach spaces, Derivatives of functions in infinite-dimensional spaces, convex mappings, Nonsmooth analysis, cone convex mappings, isomorphism with $c_0$, cone isomorphism, Optimization and Control (math.OC), FOS: Mathematics, convex operators, directional derivative, Mathematics - Optimization and Control, Ordered normed spaces
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