Subproduct systems of Hilbert spaces: dimension two
"Subproduct systems of Hilbert spaces: dimension two."
Available online (free of charge) from e-print archive (USA):
or its Israeli mirror:
A research eprint, 16 pages, bibl. 6 refs.
A subproduct system of two-dimensional Hilbert spaces can generate an Arveson system of type I1 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.
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