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math.FA2002
Non-Isomorphic Product Systems
Boris Tsirelson
Uncountably many mutually non-isomorphic product systems (that is, continuous tensor products of Hilbert spaces) of types II-0 and III are constructed by probabilistic means (rando…
math.FA2000
From slightly coloured noises to unitless product systems
Boris Tsirelson
Stationary Gaussian generalized random processes having slowly decreasing spectral densities give rise to product systems in the sense of William Arveson (basically, continuous ten…
math.FA2000
From random sets to continuous tensor products: answers to three questions of W. Arveson
Boris Tsirelson
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…