## B. Tsirelson | ## Subproduct systems of Hilbert spaces: dimension two | ## Recent works |

Boris Tsirelson,

"Subproduct systems of Hilbert spaces: dimension two."

arXiv:0906.4255.

Available online (free of charge) from e-print archive (USA):

arXiv.org/abs/0906.4255/

or its Israeli mirror:

il.arXiv.org/abs/0906.4255/

A research eprint, 16 pages, bibl. 6 refs.

A subproduct system of two-dimensional Hilbert spaces can generate an Arveson
system of type I_{1} only. All possible cases are classified up to
isomorphism. This work is triggered by a question of Bhat: can a subproduct
system of *n*-dimensional Hilbert spaces generate an Arveson system of
type II or III ? The question is still open for n>2.

- Discrete time.
- Time on a sublattice.
- Rational time.
- Arveson systems, Liebscher continuity.

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