Subproduct systems of Hilbert spaces: dimension two
Operator Algebras
2009-06-24 v1
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,...
Cite
@article{arxiv.0906.4255,
title = {Subproduct systems of Hilbert spaces: dimension two},
author = {Boris Tsirelson},
journal= {arXiv preprint arXiv:0906.4255},
year = {2009}
}
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16 pages