Abstract
Let V = (V-alpha)(alpha>0) a submarkovian resolvant family on a measurable space (X, B) with proper initial kernel V. We are concerned with the sweeping of surmedian measures. We use the perturbed resolvant family V-phi of V by a bounded non negative measurable function phi.
In the case of a balayage space (X, E(V)), it is proved that every excessive measure xi satisfying Inf{R(1(X\K)xi)/K compact} = 0 can be written in the form xi = sigma V with a non negative measure sigma on X.