Page 1

Displaying 1 – 10 of 10

Showing per page

The topological complexity of sets of convex differentiable functions.

Mohammed Yahdi (1998)

Revista Matemática Complutense

Let C(X) be the set of all convex and continuous functions on a separable infinite dimensional Banach space X, equipped with the topology of uniform convergence on bounded subsets of X. We show that the subset of all convex Fréchet-differentiable functions on X, and the subset of all (not necessarily equivalent) Fréchet-differentiable norms on X, reduce every coanalytic set, in particular they are not Borel-sets.

Currently displaying 1 – 10 of 10

Page 1