… , that the strong Feller and the joint (space-time) continuity for a semigroup of Markov kernels
on a … Markov process on the same space. One such simple counterexample is the Brownian …

… With great passion they directed my research to interesting problems … Feller semigroups of
transport type which are generalized … In order to prove uniform continuity of t → etA we need to …

… Moreover, continuity of paths plus the calculation presented above imply that … — we tacitly
assume that the new process has strong Markov property. To construct such an extended …

… extend the strong Markov property to arbitrary Feller processes. … a general continuity theorem
for Feller processes, and … other continuous-time Markov processes, anticipating some weak …

… processes, and we show how our proof of the Lévy–Khintchine formula carries over to this
setting. We will see, in particular, that Feller processes … the strong continuity of the semigroup. …

… First, we examine the Feller property of its associated semigroup … In particular, its continuity
is established en passant. We also … strong Markov selection is already a C 0 and strong Feller …

… 2, we discuss preliminaries about semigroups of kernel operators and prove a continuity …
semigroup has the strong Feller property if (A) every semigroup \(T_n\) has the strong Feller …

… continuity as far as we know. Another interesting problem is the relation between the …
strong Feller property (ASF, for short) and EP (or EC). ASF is a generalization of the strong Feller …

… ), we construct a strongly continuous Feller semigroup on the space of … The previous results
on Feller semigroups employed strong … extend by continuity to a positivity preserving quasi …

… In section 3, we provide conditions that guarantee the strong continuity of the semigroup
envelope (Propositions 3.4–3.6). In section 4, we discuss the connection between …