B. Tsirelson | Non-isomorphic product systems | Recent works |
Boris Tsirelson,
"Non-isomorphic product systems."
math.FA/0210457.
In: Advances in Quantum Dynamics (eds. G. Price et al), Contemporary
Mathematics 335, AMS, pp. 273--328 (2003).
Available online (free of charge) from e-print archive (USA):
arXiv.org/abs/math.FA/0210457/
or its Israeli mirror:
il.arXiv.org/abs/math.FA/0210457/
A research paper, 70 pages, bibl. 16 refs.
Uncountably many mutually non-isomorphic product systems (that is, continuous tensor products of Hilbert spaces) of types II0 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.
back to my homepage |