Trotter–Kato theorems for bi-continuous semigroups and applications to Feller semigroups

We give results on the convergence of bi-continuous semigroups introduced and studied by Kühnemund. As a consequence, we obtain a Lie–Trotter product formula and apply it to Feller semigroups generated by second order elliptic differential operators with unbounded coefficients in Cb(RN).  2003 Elsevier Inc. All rights reserved