  Exploiting the properties of the Jost-Lehmann-Dyson representation, it is
shown that in 1+2 or more spacetime dimensions, a nonempty smallest
localization region can be associated with each local observable (except for
the c-numbers) in a theory of local observables in the sense of Araki, Haag,
and Kastler. Necessary and sufficient conditions are given that observables
with spacelike separated localization regions commute (locality of the net
alone does not yet imply this).
