The convex balanced hull of a set is equal to the convex hull of the balanced hull of that is, it is equal to But in general, where the inclusion might be strict since the balanced hull of a convex set need not be convex (counter-examples exist even in ).
The convex balanced hull of a set is equal to the convex hull of the balanced hull of that is, it is equal to But in general, where the inclusion might be strict since the balanced hull of a convex set need not be convex (counter-examples exist even in ).