I'm reading a book about stochastic processes and I've come to "stochastic integration." In this section stochastic processes are basically functions $$X:[0,\infty)\rightarrow L^2(\Omega, \mathbb{C}).$$ I already know how to integrate functions from a measure space to a Banach space. Is this basically what this stochastic integral is doing?
2026-04-05 17:58:42.1775411922
Is stochastic integral the same as Lebesgue integral of Banach-valued function?
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