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/