Using unitary dilations we give a very simple proof of the maximal inequality for a stochastic convolution driven by a Wiener process in a Hilbert space in the case when the semigroup is of contraction type.
Using unitary dilations we give a very simple proof of the maximal inequality for a stochastic convolution driven by a Wiener process in a Hilbert space in the case when the semigroup is of contraction type. (en)