Extensions of convex functionals on convex cones
Volume 25 / 1998
Applicationes Mathematicae 25 (1998), 381-386
DOI: 10.4064/am-25-3-381-386
Abstract
We prove that under some topological assumptions (e.g. if M has nonempty interior in X), a convex cone M in a linear topological space X is a linear subspace if and only if each convex functional on M has a convex extension on the whole space X.
