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Abstract. In this paper we investigate commutator conditions for two strongly continuous semigroups (T (t)) t≥0 and (S(t)) t≥0 on a Banach space implying the convergence of the Lie-Trotter products [T (

Abstract. We prove a Lie-Trotter product formula for the Ornstein-Uhlenbeck semigroup associated with the stochastic linear Cauchy problem dX(t) = AX(t) dt + dW (t), t 0,Here A is the generator of a C 0 −semigroup on a separable real Banach space E and {W (t)} t 0 is an E-valued Brownian motion.

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