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

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

2000-01-12

arxiv.org/abs/math/0001070v1

Mathematics

Functional Analysis

13 pages, LaTeX2e

Scientific paper

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.

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