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Isomorphisms for spaces of predictable processes and an e...
Barbara Rüdiger, Stefan Tappe · 2019-07-11 · via math.PR updates on arXiv.org

Our goal of this note is to give an easy proof that spaces of predictable processes with values in a Banach space are isomorphic to spaces of progressive resp. adapted, measurable processes. This provides a straightforward extension of the Itô integral in infinite dimensions. We also outline an application to stochastic partial differential equations.