Martingale methods in operator theory
Based on the fact that conditional expectation is a projection and random variables can be viewed as multiplication operators on a Hilbert space, several notions and results from martingale theory are taken over to the case of an arbitrary weakly closed ring of commuting selfadjoint operators.
multiplication operators on a Hilbert space
weakly closed ring of commuting selfadjoint operators
scientific article; zbMATH DE number 4013367