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arXiv · 0906.4255

Subproduct systems of Hilbert spaces: dimension two

Boris Tsirelson
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Abstract

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=3,4,...

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Boris Tsirelson. 2009-06-23. Subproduct systems of Hilbert spaces: dimension two. https://arxiv.org/abs/0906.4255

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