A stochastic Datko-Pazy theorem
نویسندگان
چکیده
Let H be a Hilbert space and E a Banach space. In this note we present a sufficient condition for an operator R : H → E to be γ–radonifying in terms of Riesz sequences in H . This result is applied to recover a result of Lutz Weis and the second named author on the R-boundedness of resolvents, which is used to obtain a Datko-Pazy type theorem for the stochastic Cauchy problem. We also present some perturbation results.
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