  Recently a characterization of uniformly continuous POVMs and a necessary
condition for a uniformly continuous POVM $F$ to have the norm-1 property have
been provided. Moreover it was proved that in the commutative case, uniform
continuity corresponds to the existence of a Feller Markov kernel. We apply
such results to the analysis of some relevant physical examples; i.e., the
phase space localization observables, the unsharp phase observable and the
unsharp number observable of which we study the uniform continuity, the norm-1
property and the existence of a Feller Markov kernel.
