2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77069Brownian motions in the infinite-dimensional group of all unitary operators are studied under strong continuity assumption rather than norm continuity. Every such motion can be described in terms of a countable collection of independent one-dimensional Brownian motions. The proof involves continuous tensor products and continuous quantum measurements. A by-product: a Brownian motion in a separable F-space (not locally convex) is a Gaussian process.ProbabilityUnitary Brownian motions are linearizabletext