On the Stochastic Fubini Theorem in Infinite Dimensions

Abstract

Noting that every L-space satisfies a randomized version of the UMD property, we show how a general stochastic Fubini theorem for the stochastic integral of operatorvalued processes with respect to cylindrical Brownian motions can be obtained as an application of the theory of stochastic integration developed recently by Lutz Weis and the authors.