Lévy area of Wiener processes in Banach spaces (Q1872270)

The second author has recently developed a new approach to an equation \(dy = f(y)dx\) in the Euclidean space, applicable also in the case when \(x\) is a non-smooth function, like a trajectory of a Brownian motion [see e.g., Rev. Mat. Iberoam. 14, 215-310 (1998; Zbl 0923.34056), or the book by the second and the third author, ``System control and rough paths'' (Oxford, 2002)]. In the paper it is shown that this theory covers also equations driven by Banach space-valued Wiener processes, which implies that the classical Stratonovich integration theory may be extended to Wiener processes in Banach spaces.