  In this paper we establish a result regarding the connection between
continuous maximal regularity and generation of analytic semigroups on a pair
of densely embedded Banach spaces. More precisely, we show that continuous
maximal regularity for a closed operator $A: E_1 \rightarrow E_0$ implies that
$A$ generates a strongly continuous analytic semigroup on $E_0$ with domain
equal $E_1$.
