We define tensor product decompositions of E₀-semigroups with a structure analogous to a classical theorem of Beurling. Such decompositions can be characterized by adaptedness and exactness of unitary cocycles. For CCR-flows we show that such cocycles are convergent.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-11,
author = {Rolf Gohm},
title = {Decompositions of Beurling type for E0-semigroups},
journal = {Banach Center Publications},
volume = {72},
year = {2006},
pages = {167-176},
zbl = {1109.46057},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-11}
}
Rolf Gohm. Decompositions of Beurling type for E₀-semigroups. Banach Center Publications, Tome 72 (2006) pp. 167-176. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-11/