On homomorphisms of projective lattices in complex Hilbert spaces
Vector measures on the closed subspaces of a Hilbert space
Extensions of convex functionals on convex cones
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.
Page 1