From random sets to continuous tensor products: answers to three questions of W. Arveson
Functional Analysis
2007-05-23 v1 Probability
Abstract
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.
Keywords
Cite
@article{arxiv.math/0001070,
title = {From random sets to continuous tensor products: answers to three questions of W. Arveson},
author = {Boris Tsirelson},
journal= {arXiv preprint arXiv:math/0001070},
year = {2007}
}
Comments
13 pages, LaTeX2e