Decompositions of Beurling type for $E_0$-semigroups
Tom 73 / 2006
Banach Center Publications 73 (2006), 167-176
MSC: Primary 46L55, 47D03; Secondary 81S25.
DOI: 10.4064/bc73-0-11
Streszczenie
We define tensor product decompositions of $E_0$-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.