  In this paper we consider $L^p$-regularity estimates for solutions to
stochastic evolution equations, which is called stochastic maximal
$L^p$-regularity. Our aim is to find a theory which is analogously to Dore's
theory for deterministic evolution equations. He has shown that maximal
$L^p$-regularity is independent of the length of the time interval, implies
analyticity and exponential stability of the semigroup, is stable under
perturbation and many more properties. We show that the stochastic versions of
these results hold.
