Non-Isomorphic Product Systems

Details Non-Isomorphic Product Systems Non-Isomorphic Product Systems

2002-10-30

arxiv.org/abs/math/0210457v2

Advances in Quantum Dynamics (eds G Price et al), Contemp Math 335, AMS, pp 273-328 (2003).

Mathematics

Functional Analysis

70 pages. Small errors corrected, especially in 1.9, 2.3, 5.8 (formulations) and 13.6, 13.7 (proofs)

Scientific paper

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 (random sets and off-white noises), answering four
questions of W. Arveson. Results of math.FA/0001070, math.FA/0006165 are
improved, and proofs are more readable.

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