This is the abstract of the paper "Reg. of semigroups that are strongly continuous for $t>0$" by P. C. Kunstmann. For the whole paper send the command get evolve-l 97-00053 to: "listserv@rz.uni-karlsruhe.de". Instead you may get the paper at "http://ma1serv.mathematik.uni-karlsruhe.de/evolve-l/index.html" too. Abstract: Let $E$ be a Banach space and $T:]0,\infty[\to L(E)$ be a strongly continuous semigroup with $\bigcap_{t>0}\Kern T_t=\{0\}$. We show that the generator $A$ of $(T_t)$ generates a regularized semigroup. Our construction of a regularizing operator uses an existence result of J. Esterle.