From random sets to continuous tensor products: answers to three questions of W. Arveson

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The set of zeros of a Brownian motion gives rise to a product system in the sense of William Arveson (that is, a continuous tensor product system of Hilbert spaces). Replacing the Brownian motion with a Bessel process we get a continuum of non-isomorphic product systems.
13 pages, LaTeX2e

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Functional Analysis, Probability, 47D25 (Primary) 60A10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/58525

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0001070
 http://arxiv.org/abs/math/0001070

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arXiv