2 problems

Let $(\mathcal{M}_k)_{k\geq 0}$ be the filtration and let $\mathcal{E}_k$ denote the corresponding conditional expectations; Theorem concerns the associated noncommutative martinga…

Let $(\mathcal{M},\tau)$ be a noncommutative probability space, let $(\mathcal{M}_n)_{n\geq 1}$ be a weak-$*$ dense filtration of von Neumann subalgebras, and let…