CONTINUITY OF NON-COMMUTATIVE STOCHASTIC PROCESSES
Stanisław Goldstein
Andrzej Łuczak
Abstract: The paper contains the proof of a theorem on the continuity of a ”stochastic
process” taking its values in an algebra of operators measurable in Nelson’s sense. If the
algebra considered is abelian, the theorem becomes the classical Kolmogoroff theorem on the
continuity of trajectories of a stochastic process.
2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;
Key words and phrases: -