Markov processes and positive semigroups on some classes of weighted continuous function spaces (Q931334)

The authors consider positive semigroups on some classes of weighted continuous function spaces over the LCCB space \(X\). By a positive maximum principle, they establish first a generation result for strongly continuous positive semigroups on such function spaces. Then, they characterize those positive semigroups which are transition functions of Markov processes on a suitable compactification of \(X\). Finally, they apply their results to a class of degenerate second order differential operators on \(X= \; ]0,1[\).