Unitary Brownian motions are linearizable

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dc.creatorTsirelson, Boris
dc.date1998-06-19
dc.date.accessioned2026-07-07T05:25:08Z
dc.date.available2026-07-07T05:25:08Z
dc.descriptionBrownian 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.
dc.identifierhttps://arxiv.org/abs/math/9806112
dc.identifierhttp://arxiv.org/abs/math/9806112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77069
dc.subjectProbability
dc.titleUnitary Brownian motions are linearizable
dc.typetext

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