 A cone "C" in a vector space "X" is said to be generating if "C" − "C" is equal to the whole vector space.If "X" and "W" are two non-trivial ordered vector spaces with respective positive cones "P" and "Q", then "P" is generating in "X" if and only if the set formula_88 is a proper cone in L("X"; "W"), which is the space of all linear maps from "X" into "W".In this case the ordering defined by "C" is called the canonical ordering of L("X"; "W").